The coastal ocean, from the shoreline to the mid–continental shelf with water depths ranging from 0 to about O(100) m, spans regions with circulation patterns driven by distinct processes. Coastal ocean circulation regulates the transport of tracers like nutrients, pathogens, and pollutants critical to maintaining healthy ecosystems (e.g., Grant et al. 2005; Boehm et al. 2017), and controls lateral movement of heat, sediment, and entrained gases (e.g., Fewings and Lentz 2011; Sinnett and Feddersen 2019). Bottom sediment resuspension and the advection and mixing of particles, both organic and inorganic, contributes to variable optical clarity of coastal waters. Fluctuations in coastal ocean temperature modify the local stratification, sound speed, and shallow-water acoustics (e.g., Badiey et al. 2002).
Within the coastal ocean, the surfzone extends from the shoreline to the offshore extent of depth-limited wave breaking, while the midshelf region is categorized by nonoverlapping surface and bottom boundary layers separated by a distinct interior. The inner shelf (e.g., Lentz 1994; Lentz 1995b) is a transition region between the surfzone and the midshelf where the boundary layers can overlap. The dynamics within and immediately outside the inner shelf are complicated as surface waves, internal waves, wind, barotropic tidal processes, buoyancy, submesoscale eddies, and boundary layer–driven processes all contribute to changing the circulation pattern and local stratification on frictional, rotational, and longer time scales.
Previous studies targeting the inner shelf have well documented the wind-driven and surface gravity wave–driven dynamics on simple coastlines and bathymetry (e.g., Lentz and Fewings 2012), yet the role of complex, along-shelf-varying coastlines in modifying inner-shelf dynamics on subtidal and shorter time scales is not well understood. In addition, the importance of other physical mechanisms like the role of turbulence forced by high-frequency processes (e.g., nonlinear internal waves) is both poorly understood and undersampled. Moreover, prior studies generally treated processes like subtidal wind-driven circulation in isolation from other inner-shelf physical processes. Nonlinear interactions between wind, surface gravity waves, internal waves, surface heat fluxes, turbulence, and rip currents are yet to be quantified.
Consequently, in order to understand and predict the exchange of water properties (heat, gases, sediment, pollutants, biota) across the inner shelf over a range of temporal and spatial scales the Office of Naval Research Inner-Shelf Dynamics Departmental Research Initiative coordinated field observations (in situ and remote sensing) and numerical modeling efforts on a 50-km section of coast off of central California, in the vicinity of Point Sal, California. Hereinafter, we refer to this experiment as the Inner-Shelf Dynamics Experiment (ISDE).
The principal goals of the ISDE are to (i) diagnose interactions between physical processes in the time-varying inner-shelf circulation, (ii) quantify the importance of along-coastline variability in creating complex circulation patterns on length scales of order 1–10 km, (iii) determine the role of turbulence in mixing tracer fluxes at subtidal and shorter time scales and in constraining momentum and energy transports on all time scales, and (iv) improve the predictive capability of numerical ocean and wave propagation models to simulate regional dynamics.
Here we report on the major findings and data products from the ISDE. A background describing the major physical processes in the inner shelf is considered in the second section. The field experiment and numerical model applications are considered in the third and fourth sections, respectively. Various important physical processes observed during the field experiment, complemented by numerical modeling efforts, are presented in the fifth section. In the sixth section we discuss the spatial heterogeneity of inner-shelf processes observed during the experiment, and the nonlinear interaction between multiple dynamical drivers of circulation and mixing. Findings from this work and suggested future directions for investigation are summarized in the last section.
Background
For decades, the inner shelf has been recognized as an important transition region between the mid–continental shelf and the surfzone. The inshore boundary of the inner shelf is generally agreed to be the surfzone (Garvine 2004; Lentz and Fewings 2012); however, the offshore extent and the dynamical definition of the inner shelf remain somewhat ambiguous and dependent on the dominant processes driving the circulation at a particular coastal region (Fig. 1). Mitchum and Clarke (1986) and Lentz (1994) define the inner shelf in the context of coastal wind-driven dynamics. In this context, the outer boundary of the inner shelf begins where the boundary layers overlap, causing a divergence and eventual shutdown in Ekman transport (Weisberg et al. 2001; Austin and Lentz 2002). Here, we briefly discuss the primary physical processes responsible for inner-shelf circulation and their role in cross-shelf material movement.

Schematic of inner-shelf processes in the coastal ocean considered to be a part of the inner-shelf experiment. Surface waves propagating over the shelf become nonlinear and break generating circulation in the surfzone like rip currents, which eject onto the shelf. Wind and tidally driven along-shelf flows separate from the coastline and generate shelf eddies. Onshore-propagating internal waves also become nonlinear and lead to overturning and mixing in the water column. Additional mixing occurs at the bottom-boundary layer.
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1

Schematic of inner-shelf processes in the coastal ocean considered to be a part of the inner-shelf experiment. Surface waves propagating over the shelf become nonlinear and break generating circulation in the surfzone like rip currents, which eject onto the shelf. Wind and tidally driven along-shelf flows separate from the coastline and generate shelf eddies. Onshore-propagating internal waves also become nonlinear and lead to overturning and mixing in the water column. Additional mixing occurs at the bottom-boundary layer.
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1
Schematic of inner-shelf processes in the coastal ocean considered to be a part of the inner-shelf experiment. Surface waves propagating over the shelf become nonlinear and break generating circulation in the surfzone like rip currents, which eject onto the shelf. Wind and tidally driven along-shelf flows separate from the coastline and generate shelf eddies. Onshore-propagating internal waves also become nonlinear and lead to overturning and mixing in the water column. Additional mixing occurs at the bottom-boundary layer.
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1
Seminal studies of the wind-driven inner shelf include those from the Coastal Ocean Dynamics Experiment (CODE; Beardsley and Lentz 1987; Lentz 1995a), west Florida continental shelf measurements (Weisberg et al. 2001, 2009), Coastal Ocean Processes Study (CoOP; Butman 1994), the Partnership for Interdisciplinary Studies of Coastal Oceans (PISCO; Kirincich et al. 2005), and from the Martha’s Vineyard Coastal Observatory (Fewings et al. 2008). At subtidal time scales, these and other studies demonstrate the sensitivity of cross-shore transport to upwelling-favorable, downwelling-favorable, and cross-shore winds (Austin and Lentz 2002; Fewings and Lentz 2011; Horwitz and Lentz 2016), strength of stratification and structure of mixing (Lentz 1995b), alongshore pressure gradients (Lentz 1995b; Kirincich et al. 2013), and the presence of cross-shore buoyancy gradients (Fewings et al. 2008; Horwitz and Lentz 2014). Previous studies have also demonstrated the role of Stokes drift by surface gravity waves outside the surfzone as a dominant mechanism for cross-shore transport (Lentz et al. 2008; Lentz and Fewings 2012), and radiation stress gradients as a potential leading-order term in the inner-shelf cross-shore momentum budget (Lentz et al. 1999; Fewings and Lentz 2010).
Internal waves are important to the inner shelf over a range of time and spatial scales. Highly nonlinear internal tides and high-frequency internal waves occur in the inner shelf and are responsible for large changes in stratification and strong cross-shore currents over short time scales (Lee 1961; Cairns 1967; Winant 1974; Scotti and Pineda 2004; Sinnett et al. 2018; McSweeney et al. 2020b; Feddersen et al. 2020), and also transport heat from the inner shelf to the surfzone (e.g., Sinnett and Feddersen 2019). These waves also transport plankton and nutrients across the inner shelf (Shanks and Wright 1987; Pineda 1991; Leichter et al. 1998; Lennert-Cody and Franks 1999; Shroyer et al. 2010) and can resuspend and transport sediment (Butman et al. 2006).
Turbulence and mixing generated by internal wave dissipation leads to vertical fluxes of tracers and material (Fig. 1; Bourgault et al. 2008; Walter et al. 2014; Woodson 2018), and enhance stresses which may augment surface and bottom boundary layer overlap (e.g., Palóczy et al. 2021). Processes on a daily time scale such as diurnal heating and diurnal winds can also change the inner-shelf currents and stratification (Lerczak et al. 2003; Cudaback and McPhee-Shaw 2009; Molina et al. 2014; Aristizábal et al. 2017; Walter et al. 2017; Feddersen et al. 2020). In addition, buoyancy-driven flows can dominate the inner-shelf circulation; for example, by river discharge (Allen et al. 1983; Mazzini et al. 2014) or a buoyant response to changes in alongshore winds (Woodson et al. 2009; Washburn and McPhee-Shaw 2013; Suanda et al. 2016).
Mesoscale and submesoscale variability due to eddies, filaments, and fronts is often large on continental shelves and slopes and these are dominant mechanisms for exchange between the continental shelf and open ocean (Huyer and Kosro 1987; Barth 1994; Capet et al. 2008; Gula et al. 2016a). Recent observational and numerical studies have demonstrated the significance of submesoscale processes in causing variability in circulation and driving transport and dispersion in the inner shelf (Nidzieko and Largier 2013; Kirincich 2016; Kirincich and Lentz 2017; Dauhajre et al. 2019) and delivering nutrients to coastal ecosystems (Bassin et al. 2005).
Flow separation past abrupt bathymetry like headlands, capes, and coastal promontories leads to vorticity generation and complex three-dimensional circulation patterns (e.g., Fig. 1). Developed eddies can potentially pair, interact, or coalesce to form a wide variety of tidally rectified and residual flows (Signell and Geyer 1991; Pawlak and MacCready 2002; Callendar et al. 2011). The pressure anomalies associated with topographic eddy generation may play an order one role in the form drag that removes momentum from low-frequency alongshore flows (Warner et al. 2013). These eddies also control the dispersion of dissolved pollutants, floating organisms, and sediment (e.g., Pawlak et al. 2003; Doglioli et al. 2004; Roughan et al. 2005; Jones et al. 2006), enhance biological productivity and larval retention (Karnauskas et al. 2011; Gove et al. 2016), and influence local water-column mixing and dissipation (Canals et al. 2009; White and Helfrich 2013; Dewar et al. 2015; Gula et al. 2016b; MacKinnon et al. 2019).
Material movement also occurs between the shoreline and the inner shelf through the surfzone (Fig. 1). Rip currents and surfzone eddies are the primary known mechanism for cross-shore transport (e.g., MacMahan et al. 2006; Dalrymple et al. 2011; Castelle et al. 2016). Bathymetrically controlled rip currents result from wave breaking on alongshore-variable bathymetry and are typically strongest for shore-normal waves, larger wave height, and lower tidal elevation (Haller et al. 2002; MacMahan et al. 2010; Bruneau et al. 2011; Austin et al. 2013, 2014; Moulton et al. 2017). Stochastic surfzone eddy processes including wave-group vortices (e.g., Long and Özkan-Haller 2009), shear instability of alongshore currents (e.g., Özkan-Haller and Kirby 1999; Noyes et al. 2004), and transient rip currents resulting from short-crested wave breaking (e.g., Peregrine 1998; Spydell and Feddersen 2009; Clark et al. 2012; Feddersen 2014) are also known to be a major driver of cross-shore exchange. Infrared and X-band radar imaging of ejection events (e.g., Marmorino et al. 2013; Haller et al. 2014), dye releases (e.g., Hally-Rosendahl et al. 2014, 2015; Hally-Rosendahl and Feddersen 2016), and recent numerical modeling studies (e.g., Suanda and Feddersen 2015; Kumar and Feddersen 2017b; O’Dea et al. 2021) suggest that transient rip currents lead to cross-shore exchange up to several surfzone widths from the coastline.
The list of physical processes discussed here is not exhaustive as other processes may control the circulation and stratification in the inner shelf. The relative role of aforementioned physical processes has been previously considered (e.g., Fewings et al. 2008), yet additional investigation is required to further constrain the implications for exchange through the inner shelf, especially for locations with complex overlap of processes and variable along-shelf coastline and bathymetry.
Experiment description
The field component of ISDE brought together a novel and synergistic suite of measurement strategies, sensors, and platforms to study a heterogeneous coastal region from the outer shelf to the nearshore within the Santa Maria basin, off of central California, spanning alongshore from south of Purisima Point to Pismo Beach and centered on Point Sal (Fig. 2 and Table 1; the offshore tip of Point Sal is located at 34.9030°N, 120.6721°W). Point Sal is a prominent 2-km-wide asymmetric headland, where the coast is rocky and the coastline bends approximately 120°. Bathymetry offshore off Point Sal is steep and rocky to ≈15 m depth, with several shoals and outcrops within 500 m. South from Point Sal, the rocky coastline extends eastward for 2.5 km before bending to the south where bathymetry contours are alongshore uniform and bottom slopes are less steep. To the north of Point Sal, offshore of Oceano, the shoreline is generally straight, and the offshore bathymetry is roughly alongshore uniform but with sandy crescentic bars close to shore. South of Oceano, a rocky outcrop extends several kilometers offshore at Mussel Point.

Map of the Inner-Shelf Dynamics Experiment study site, showing locations of moorings and bottom landers and measurement footprints of coastal X-band and coherent radar systems. Contour lines represent water depth in meters.
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1

Map of the Inner-Shelf Dynamics Experiment study site, showing locations of moorings and bottom landers and measurement footprints of coastal X-band and coherent radar systems. Contour lines represent water depth in meters.
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1
Map of the Inner-Shelf Dynamics Experiment study site, showing locations of moorings and bottom landers and measurement footprints of coastal X-band and coherent radar systems. Contour lines represent water depth in meters.
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1
Inner-Shelf Dynamics Experiment observational and modeling efforts, along with the names and affiliations of the principal investigators. Applied Physics Laboratory (APL), Georgia Tech University (GTA), Naval Postgraduate School (NPS), Naval Research Laboratory (NRL), Oregon State University (OSU), Scripps Institution of Oceanography (SIO), Sofar Ocean Technologies (Sofar), University of California Santa Cruz (UCSC), University of Miami (U Miami), University of Otago (UO), University of Washington (UW).


Following preliminary field measurements in 2015 to help define conditions and refine measurement strategy (Allen et al. 2018; Colosi et al. 2018), the main experiment took place from late August to early November 2017, and the field site covered about 50 km along the coast and 15 km across shore in water depths ranging from 5 to 150 m (Fig. 2). The field campaign included moored and bottom time series measurements, ship and small boat surveys, surface drifters, and remote sensing from land, airplanes, and space.
Time series from moored and bottom-mounted sensors
A total of 173 moorings and bottom landers were deployed during the experiment to measure time series of temperature, salinity, current velocity, turbulence, surface gravity waves, and suspended sediment (Fig. 2). Water-column temperature and salinity were measured along vertical mooring lines at 95 locations. Temperature sensors spanned the water column with vertical spacing between sensors of 1–5 m at the deeper locations and 1 m or less in shallow water. Limited salinity measurements were also made. However, temperature was the dominant parameter controlling density, with salinity varying by less than 0.3 psu across the study site during the entire experiment consistent with previous studies (Washburn et al. 2011). Sensor sample intervals varied from 0.5 to 30 s (McSweeney et al. 2020b).
At 52 locations, moorings were paired with bottom landers, separated horizontally by about one water depth. Each lander was equipped with an upward-looking acoustic Doppler current profiler (ADCP) to measure current velocities. The vertical resolution was dependent on instrument frequency and water depth, but ranged between 0.25 and 3 m. Ping averaging resulted in temporal intervals of 0.5 to 30 s, and some of the ADCPs were five-beam instruments with sample frequencies of 1, 2, or 8 Hz allowing for the measurement of currents of surface gravity waves and calculations of turbulent stresses. Most landers were also equipped with temperature sensors, programmed to sample at the same rate as the mooring sensors. In addition, high-precision pressure sensors (Ppods; Moum and Nash 2008; Thomas et al. 2016) were deployed on landers at five locations. Two of the landers were instrumented to observe near bed currents, turbulence, and seabed roughness using a suite of acoustic Doppler velocimeters (ADVs), high-resolution ADCPs (2 MHz), and high-frequency seabed imaging sonars.
Time series measurements of turbulence were acquired by several methods. As noted above, some five-beam ADCPs resolved turbulent stresses (Guerra and Thomson 2017). Temperature microstructure was measured along mooring lines and landers using χ pods (Moum and Nash 2009). A newly developed instrument for this experiment, the GusT (Becherer et al. 2020), was equipped to measure temperature and velocity microstructure as well as pressure and instrument orientation, pitch, roll, and acceleration. Approximately 80 GusT instruments were broadly deployed on moored and shipboard platforms, providing greatly enhanced coverage of turbulence over the inner shelf.
Surface gravity wave directional spectra were measured using Sofar Spotter buoys (Raghukumar et al. 2019) at 18 locations at the study site, and one miniature wave buoy near Point Sal. In addition, a suite of meteorological measurements (wind speed and direction, air temperature, atmospheric pressure, relative humidity, and shortwave radiation) were made from a mooring near Point Sal (Fig. 2) as well as from two locations on land near Oceano and Vandenberg.
Ship and small boat sampling
During two intensive operations periods (IOPs) in early September and mid-October (hereinafter IOP1 and IOP2; Fig. 3), as many as three ships (R/Vs Oceanus, Sally Ride, and Robert Gordon Sproul) and three small boats (R/Vs Kalipi, Sally Ann, and Sounder) conducted coordinated surveys within the study site, designed to resolve processes of interest. All vessels were equipped with downward-looking ADCPs and profiling conductivity–temperature–depth (CTD) instruments. Some ships were also equipped with echosounders, turbulence profilers (VMP-250, χ pods, and GusTs), fluorometers, and meteorological sensors. Bow-chains were deployed from the R/V Sally Ride and the R/V R. G. Sproul and measured temperature, salinity, and turbulence with high resolution vertically (1 m) and in time (sampling frequency: 2-8 Hz) in the upper 20 m of the water column. The R/V Sally Ride conducted over 5,100 vertical profiles using the VMP-250, while the R/V Oceanus equipped with a towed CTD installed with a GusT probe, attached at the leading edge of the CTD (Becherer et al. 2020) conducted over 4,200 profiles. The R/V R. G. Sproul conducted over 3900 profiles with a towed CTD.

Summary of conditions during the Inner-Shelf Dynamics Experiment. (a) Significant wave height. (b) Wind velocity rotated into primary (black) and secondary (red) coordinates; negative winds in the primary direction are upwelling favorable. Wave and wind data are from NDBC Buoy 46011 (Santa Maria). (c) Tidal sea level variations pressure measurements at the 50 m lander at Oceano (Fig. 2). (d) Top-to-bottom temperature difference at the 50 m mooring at the Oceano (Fig. 2). Periods of ship, small boat, airplane, and drifter surveys [intensive operations periods (IOPs)] are indicated by green shading.
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1

Summary of conditions during the Inner-Shelf Dynamics Experiment. (a) Significant wave height. (b) Wind velocity rotated into primary (black) and secondary (red) coordinates; negative winds in the primary direction are upwelling favorable. Wave and wind data are from NDBC Buoy 46011 (Santa Maria). (c) Tidal sea level variations pressure measurements at the 50 m lander at Oceano (Fig. 2). (d) Top-to-bottom temperature difference at the 50 m mooring at the Oceano (Fig. 2). Periods of ship, small boat, airplane, and drifter surveys [intensive operations periods (IOPs)] are indicated by green shading.
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1
Summary of conditions during the Inner-Shelf Dynamics Experiment. (a) Significant wave height. (b) Wind velocity rotated into primary (black) and secondary (red) coordinates; negative winds in the primary direction are upwelling favorable. Wave and wind data are from NDBC Buoy 46011 (Santa Maria). (c) Tidal sea level variations pressure measurements at the 50 m lander at Oceano (Fig. 2). (d) Top-to-bottom temperature difference at the 50 m mooring at the Oceano (Fig. 2). Periods of ship, small boat, airplane, and drifter surveys [intensive operations periods (IOPs)] are indicated by green shading.
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1
Surface drifters
During the IOPs, on 14 separate days, approximately 30 drifters were deployed from small boats on daily (or longer) missions (Fig. 4) that were designed to target specific processes—for example, along- and across-shore transport and dispersion (Spydell et al. 2021), flow around the headland (Point Sal), and mapping surface vorticity and divergence (Spydell et al. 2019). All drifters were equipped with GPS and had real-time tracking capability. Most drifters measured surface temperature. Some were designed to directly measure surface vorticity. Others were equipped with sensors to measure surface shear and turbulence, wave statistics, and meteorological fields (Thomson 2012).

Surface drifter tracks on 13 Sep 2017. Thirty-three CODE (black tracks) and five SWIFT (red tracks) drifters were released in 20–30 m water depths at approximately 0800 local time and sampled for approximately 5 h. Release locations are blue and green dots for CODE and SWIFT drifters, respectively. CODE and SWIFT drifters sample the top-1-m horizontal flow. Bathymetry is contoured at 10 m intervals (labeled thick gray contours) and 2.5 m intervals (thin gray contours). Two internal bores cause the two distinct “kinks” in the tracks. Adapted from Spydell et al. (2021).
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1

Surface drifter tracks on 13 Sep 2017. Thirty-three CODE (black tracks) and five SWIFT (red tracks) drifters were released in 20–30 m water depths at approximately 0800 local time and sampled for approximately 5 h. Release locations are blue and green dots for CODE and SWIFT drifters, respectively. CODE and SWIFT drifters sample the top-1-m horizontal flow. Bathymetry is contoured at 10 m intervals (labeled thick gray contours) and 2.5 m intervals (thin gray contours). Two internal bores cause the two distinct “kinks” in the tracks. Adapted from Spydell et al. (2021).
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1
Surface drifter tracks on 13 Sep 2017. Thirty-three CODE (black tracks) and five SWIFT (red tracks) drifters were released in 20–30 m water depths at approximately 0800 local time and sampled for approximately 5 h. Release locations are blue and green dots for CODE and SWIFT drifters, respectively. CODE and SWIFT drifters sample the top-1-m horizontal flow. Bathymetry is contoured at 10 m intervals (labeled thick gray contours) and 2.5 m intervals (thin gray contours). Two internal bores cause the two distinct “kinks” in the tracks. Adapted from Spydell et al. (2021).
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1
Remote sensing
During ISDE, a wide range of remote sensing observations were collected from research aircraft, small unmanned aircraft systems (sUAS), land- and ship-based platforms, and satellites. During the IOPs, two airplanes conducted surveys of the entire study site. Sensors included thermal infrared cameras, optical cameras, hyperspectral cameras, interferometric synthetic aperture radar (InSAR), Modular Aerial Sensing System (MASS; Lenain and Melville 2017), and light detection and ranging (lidar). During these periods, sUAS deployed from land and from ships were equipped with optical cameras to focus on small-scale processes such as rip currents, and interactions between rip currents and internal bores. Surface winds and mean-square slope were estimated using the MASS (Lenain et al. 2019) along the track of the aircraft.
Four marine radars and a coherent imaging radar (all X band) were deployed from towers along the coast during the entire field experiment, with footprints that covered the entire study site (Fig. 2). A coherent marine radar was also operated from R/V Oceanus, and another marine radar was on board the R/V Sally Ride. Data from these systems were processed to focus on surface gravity waves as well as longer-time-scale processes, such as tracking internal waves and bores propagating to the coast, rip currents, and buoyant fronts and eddies and instabilities. In addition, spaceborne X-band and C-band SAR and optical satellite images of the study site were collected during the study period.
Conditions during the experiment
Waves were small during the first IOP (significant wave height, Hsig < 2 m; Fig. 3a). Wave heights were variable in October, with Hsig exceeding 3 m during the second IOP and exceeding 5 m on 21 October. Winds were principally upwelling favorable during the experiment with several relaxation events (Fig. 3b). Strong diurnal wind variability was also apparent. Tides were mixed semidiurnal with a peak range of about 1.8 m (Fig. 3c). Stratification was strongest during the first half of September and was reduced and variable during the remainder of the experiment (Fig. 3d). At a water depth of 50 m, the associated mode-one, linear internal wave speed ranged from 0.3 to 0.15 m s−1 (McSweeney et al. 2020b).
Modeling program
The ISDE modeling program centered on realistic and process-based hydrodynamics spanning a range of model hindcast, forecast, and sensitivity studies. The overall approach is briefly described here with more complete methodology provided elsewhere (Suanda et al. 2016; Kumar et al. 2019). The core modeling program consists of the open-source Rutgers Regional Ocean Modeling System (ROMS) and Simulating Waves Nearshore (SWAN) models, integrated in the Coupled Ocean–Atmosphere–Wave–Sediment Transport Modeling System (COAWST; Warner et al. 2010; Kumar et al. 2012). ROMS is a three-dimensional, bathymetry-following, hydrostatic numerical model (Shchepetkin and McWilliams 2005, 2009) with a long history of coastal applications (Olabarrieta et al. 2011; Kumar et al. 2015, 2016; Wu et al. 2020). SWAN is a third-generation, spectral wave model, which simulates shoaling, refraction, energy input from winds, and energy loss from whitecapping, bottom friction, and depth-limited breaking (Booij et al. 1999).
The model system is configured as a series of one-way, offline, nested grids. The outermost parent grid has resolution of 1/30° (Veneziani et al. 2009) covering the eastern Pacific Ocean from the Baja Peninsula, Mexico to Vancouver, Canada (L0). Subsequent child simulations have resolutions of 1 km (L1), 600 m (L2), 200 m (L3), 66 m (L4), and 22 m (L5), resolving processes from the continental slope and shelf break through the inner shelf and a bulk representation of the surfzone transition region (Fig. 5). Surface atmospheric forcing is taken from a nested Coupled Ocean–Atmosphere Mesoscale Prediction System (COAMPS) model (Hodur et al. 2002; Doyle et al. 2009). Tides are applied as boundary forcing on the L2 domain through harmonic sea level and barotropic velocities from the Advanced Circulation (ADCIRC) tidal model (Mark et al. 2004).

Nested Regional Ocean Modeling System grids (L2, L3, L4, L5) and observation locations: (a) second-level nested grid (L2, resolution: 600 m). Color bar is the water depth h in meters; (b) L3 grid (resolution: 200 m), and (c) L4 grid (resolution: 66 m). In (a) dashed black lines are depth contours of 30, 50, 100, 200, 500, 1,000, 1,500, 2,000, 2,500, and 3,000 m. Parent grids L0 and L1 are shown elsewhere (Suanda et al. 2016).
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1

Nested Regional Ocean Modeling System grids (L2, L3, L4, L5) and observation locations: (a) second-level nested grid (L2, resolution: 600 m). Color bar is the water depth h in meters; (b) L3 grid (resolution: 200 m), and (c) L4 grid (resolution: 66 m). In (a) dashed black lines are depth contours of 30, 50, 100, 200, 500, 1,000, 1,500, 2,000, 2,500, and 3,000 m. Parent grids L0 and L1 are shown elsewhere (Suanda et al. 2016).
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1
Nested Regional Ocean Modeling System grids (L2, L3, L4, L5) and observation locations: (a) second-level nested grid (L2, resolution: 600 m). Color bar is the water depth h in meters; (b) L3 grid (resolution: 200 m), and (c) L4 grid (resolution: 66 m). In (a) dashed black lines are depth contours of 30, 50, 100, 200, 500, 1,000, 1,500, 2,000, 2,500, and 3,000 m. Parent grids L0 and L1 are shown elsewhere (Suanda et al. 2016).
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1
All modeled variables are stored hourly, spanning multiple years of simulation available through the data archive (Table 2). The nested model configuration was used to create a multiscale coastal forecasting system, coincident with the field experiment September–October 2017. Sensitivity tests and adjoint modeling were also conducted to determine the relative importance of initial and boundary conditions from the parent grid, and surface forcing.
Model hindcasts conducted in the ISDE and made available as part of data archive.


Simulated hydrodynamics mirrors the ISDE field campaign focus; the regional transition between summer and fall determined by the prevailing atmospheric conditions (e.g., Dorman and Winant 2000; Melton et al. 2009). A continued emphasis of the model simulations has been comparison against historical and ISDE observations. Model–data comparisons have spanned subtidal water-column temperature and velocity statistics at both outer- and inner-shelf mooring locations (Suanda et al. 2016; Kumar et al. 2019), to semidiurnal tidal band variability on the inner shelf including barotropic (Suanda et al. 2016) and baroclinic tidal oscillations (Suanda et al. 2017; Kumar et al. 2019). These studies document favorable model–data correlation, and reliable simulation of time-mean water-column vertical structure, large-scale sea level gradients, and water-column velocity.
Forecasting during the experiment
An experimental forecasting system for the inner-shelf circulation around Point Sal was operational from 1 September to 30 November 2017 to assist the field experiment of ISDE. Forecast of ocean conditions were conducted daily through the downscaling of several nested COAWST simulation grids (L0 → L1 → L2 → L3), each forced with the COAMPS 2-day atmospheric forecasts at hourly resolution. Comparisons of the field observations to the model forecasts showed that COAWST at 200 m grid resolution has significant skill in simulating near-surface temperature (not shown here).
Ensemble modeling to determine the relative importance of initial, boundary, and surface forcing
To further diagnose the dynamics underlying the model forecast skill, ensemble simulations of the COAWST Point Sal modeling framework were generated with different configurations of boundary and surface forcing conditions. The ensemble was used to quantify the sources of predictability (e.g., deterministic vs internal variability) that originate from knowledge of the open-ocean boundary conditions, surface forcings and initial conditions. The initial conditions result in little skill beyond a few days and that the largest fraction of dynamical skill is associated with knowledge of the surface and open boundary conditions (Sutherland et al. 2011; Giddings et al. 2014). These findings suggest that direct data assimilation to initialize the ocean model state may not be required for an operational ocean forecast at the inner-shelf spatial and temporal scales.
Adjoint modeling to identify the role of physical processes
The efficacy of the ROMS simulations is controlled by model inputs such as initial and boundary conditions, and model parameterizations to be specified a priori. All circulation aspects (e.g., “Background” section) as represented in the model are therefore sensitive to variations in any or all of these factors, and parameters can be quantified using the ROMS adjoint. Specifically, the sensitivity of any scalar function of the circulation to model parameter and input variability can be computed from a single integration of the adjoint model, by utilizing a state-of-the-art four-dimensional variational data assimilation system which forms part of the ROMS framework.
Two specific processes have been the focus of adjoint sensitivity analyses on the L3 grid: the onshore semidiurnal baroclinic energy flux associated with internal waves (e.g., Kumar et al. 2019), and the vertical (over the water column) transfer of horizontal momentum through vertical mixing. For the former, a specific focus has been on the sensitivity to variations in the formulation of bottom drag, bathymetry and vertical mixing parameterizations. In the case of the vertical transfer of momentum, an index based on the gradient Richardson number (i.e., the ratio of the squared buoyancy frequency to the squared velocity shear) is used to explore how each ocean state component controls vertical transfer of momentum. These numerical studies also serve as a useful prelude to the assimilation of the field observations into ROMS since they provide the spatiotemporal sensitivities of scalar functionals to the circulation fields.
Processes investigated and preliminary findings
Field measurements from various in situ sensors and remote sensing platforms, combined with numerical model results are used to highlight four important physical processes in the Santa Maria basin: internal wave dynamics from the midshelf to the inner shelf, flow separation and eddy shedding off Point Sal, offshore ejection of surfzone waters from rip currents, and wind-driven subtidal circulation dynamics. In addition, the capability of using a few wave sensors to create a regional wave forecasting system is discussed.
Internal wave dynamics
Observed nonlinear internal waves (NLIWs) included steep bores, undular bores, and high-frequency waves of elevation and depression. Internal bores propagated into the region every 6 h (McSweeney et al. 2020b) and were detectable in both in situ and remote observations. Data from satellite SAR and land- and ship-based radar stations demonstrate that internal bores were alongshore coherent of order tens of kilometers, with additional short-scale horizontal variability (Fig. 6). This alongshore coherence decreased toward shore (see BAMS-RadarAnimation-IW.mp4 in the online supplementary information; https://doi.org/10.1175/BAMS-D-19-0281.2; McSweeney et al. 2020a), contributing to nearshore semidiurnal temperature variability (Feddersen et al. 2020).

(left) COSMO-SkyMed X-band synthetic aperture radar (SAR) satellite image at 0158:49 UTC 9 Sep 2017, showing surface signatures of multiple internal waves. Yellow contours indicate the 25, 50, and 100 m isobaths. (right) Same SAR image overlaid with data from three land-based X-band radar stations and one shipboard X-band radar (outlined in white). Red dots indicate mooring locations. COSMO-SkyMed Product Agenzia Spaziale Italiana (ASI) 2017 processed under license from ASI. All rights reserved. Distributed by e-GEOS.
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1

(left) COSMO-SkyMed X-band synthetic aperture radar (SAR) satellite image at 0158:49 UTC 9 Sep 2017, showing surface signatures of multiple internal waves. Yellow contours indicate the 25, 50, and 100 m isobaths. (right) Same SAR image overlaid with data from three land-based X-band radar stations and one shipboard X-band radar (outlined in white). Red dots indicate mooring locations. COSMO-SkyMed Product Agenzia Spaziale Italiana (ASI) 2017 processed under license from ASI. All rights reserved. Distributed by e-GEOS.
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1
(left) COSMO-SkyMed X-band synthetic aperture radar (SAR) satellite image at 0158:49 UTC 9 Sep 2017, showing surface signatures of multiple internal waves. Yellow contours indicate the 25, 50, and 100 m isobaths. (right) Same SAR image overlaid with data from three land-based X-band radar stations and one shipboard X-band radar (outlined in white). Red dots indicate mooring locations. COSMO-SkyMed Product Agenzia Spaziale Italiana (ASI) 2017 processed under license from ASI. All rights reserved. Distributed by e-GEOS.
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1
As internal waves propagated into shallower water, their evolution depended on the shelf stratification and background shear. The pycnocline depth ahead of a bore was found to influence the evolution of frontal steepness (McSweeney et al. 2020a). Cross-shore mooring transects illustrate that an internal bore can maintain a sharp front from the 150 to 9 m isobath, while higher-frequency internal waves evolve over shorter distances (Fig. 7). The high space–time resolution of the continuously sampling shore-based radars provided detailed observations of NLIW transformations, including alongshore variability, speed tracking (Celona et al. 2021), and along-crest scalloping (see BAMS-RadarAnimation-IW.mp4 in supplementary information). Other interesting observations were internal wave–wave merging, wave packet stretching, NLIW reflection, and breaking.

(top to bottom) Data from a cross-shore transect of moorings, ranging from (top) 150 to (bottom) 9 m depth. Data include 16 h high-pass-filtered eastward velocities (colored; positive indicates onshore flow) and 1-min-resolution temperature data (contoured at 1°C intervals; 15°C is bold). Internal wave arrivals are indicated with green triangles. (a) Zoom in on the OC50 mooring data, including temperature contours, (middle) the Richardson number [Ri = the ratio of the squared buoyancy frequency to the squared velocity shear], and (bottom) estimates of E (m2 s−3) from the GusT turbulence probes, as well as (top) the probability density function of E values before and after the internal bore front. (b) Zoom-in on the OC25M mooring data, showing near-bottom (1–6 m above bottom) 10-min-averaged estimates of E from a modified ADCP structure function method (Scannell et al. 2017). Similar figures with internal wave arrivals are discussed extensively in McSweeney et al. (2020b,a).
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1

(top to bottom) Data from a cross-shore transect of moorings, ranging from (top) 150 to (bottom) 9 m depth. Data include 16 h high-pass-filtered eastward velocities (colored; positive indicates onshore flow) and 1-min-resolution temperature data (contoured at 1°C intervals; 15°C is bold). Internal wave arrivals are indicated with green triangles. (a) Zoom in on the OC50 mooring data, including temperature contours, (middle) the Richardson number [Ri = the ratio of the squared buoyancy frequency to the squared velocity shear], and (bottom) estimates of E (m2 s−3) from the GusT turbulence probes, as well as (top) the probability density function of E values before and after the internal bore front. (b) Zoom-in on the OC25M mooring data, showing near-bottom (1–6 m above bottom) 10-min-averaged estimates of E from a modified ADCP structure function method (Scannell et al. 2017). Similar figures with internal wave arrivals are discussed extensively in McSweeney et al. (2020b,a).
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1
(top to bottom) Data from a cross-shore transect of moorings, ranging from (top) 150 to (bottom) 9 m depth. Data include 16 h high-pass-filtered eastward velocities (colored; positive indicates onshore flow) and 1-min-resolution temperature data (contoured at 1°C intervals; 15°C is bold). Internal wave arrivals are indicated with green triangles. (a) Zoom in on the OC50 mooring data, including temperature contours, (middle) the Richardson number [Ri = the ratio of the squared buoyancy frequency to the squared velocity shear], and (bottom) estimates of E (m2 s−3) from the GusT turbulence probes, as well as (top) the probability density function of E values before and after the internal bore front. (b) Zoom-in on the OC25M mooring data, showing near-bottom (1–6 m above bottom) 10-min-averaged estimates of E from a modified ADCP structure function method (Scannell et al. 2017). Similar figures with internal wave arrivals are discussed extensively in McSweeney et al. (2020b,a).
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1
Turbulence dissipation estimates revealed elevated turbulence behind the internal bore front (Figs. 7a, 8), suggesting that NLIWs generate strong mid-water-column mixing due to shear and/or convective instabilities. Elevated near-bottom dissipation from internal bores was also observed with an upward-looking ADCP, which shows an increase of two orders of magnitude in turbulent kinetic energy dissipation (E) after a bore passage (Fig. 7b). Microstructure observations from towed and profiling shipboard instrumentation (VMP-250 and GusTs) and near-surface drifters (Thomson 2012) have allowed for the first comprehensive mapping of the turbulent dissipation rates over the inner shelf, spanning bathymetrically smooth and headland-type region. Shelf variability of dissipation rate is further described in the “Discussion” section.

Aerial views of an internal wave front, including (a) sea surface temperature and (b) relative temperature from plane-mounted longwave infrared (LWIR) cameras (MASS; Melville et al. 2016). (c),(top to bottom) Cross-shore transects of an internal bore from a ship survey, including biosonics from the ship’s echosounder; temperature data from a bow-chain temperature profiler (top layer) and a towed CTD (bottom layer); dissipation rates from a VMP, and (eastward velocity from a pole-mounted, downward-looking ADCP.
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1

Aerial views of an internal wave front, including (a) sea surface temperature and (b) relative temperature from plane-mounted longwave infrared (LWIR) cameras (MASS; Melville et al. 2016). (c),(top to bottom) Cross-shore transects of an internal bore from a ship survey, including biosonics from the ship’s echosounder; temperature data from a bow-chain temperature profiler (top layer) and a towed CTD (bottom layer); dissipation rates from a VMP, and (eastward velocity from a pole-mounted, downward-looking ADCP.
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1
Aerial views of an internal wave front, including (a) sea surface temperature and (b) relative temperature from plane-mounted longwave infrared (LWIR) cameras (MASS; Melville et al. 2016). (c),(top to bottom) Cross-shore transects of an internal bore from a ship survey, including biosonics from the ship’s echosounder; temperature data from a bow-chain temperature profiler (top layer) and a towed CTD (bottom layer); dissipation rates from a VMP, and (eastward velocity from a pole-mounted, downward-looking ADCP.
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1
Analogous to saturated waves in the surfzone, where broken surface gravity waves (bores) have amplitudes that are proportional to the water depth and energy loss depends on water depth and bathymetry slope, internal tides propagating into the inner shelf can reach a saturated state (Becherer et al. 2021a,b). The internal tide saturation region starts where the incident internal tide amplitude becomes comparable to the water depth. This typically occurred at water depths between 40 and 80 m during ISDE. Inside the saturation range, the internal tide loses memory of the energy of the incident wave farther offshore, and energy and energy loss are functions only of stratification (vertical density gradient), water depth, and bathymetric slope. These dependencies allow for a simple parameterization of internal tide energy, energy loss, and mixing in the saturation region that has proven to be applicable generally to inner-shelf regions globally (Becherer et al. 2021a,b).
Nonlinear internal waves can drive strong thermal fronts in the inner shelf that are apparent from remotely sensed measurements. For example, aerial images of sea surface temperature and relative temperature from two airplane-mounted longwave infrared cameras (Figs. 8a,b; Melville et al. 2016) reveal an internal wave front that extends ∼20 km alongshore and is relatively warm (1°C) offshore of the front compared to the water inshore. This NLIW temperature gradient is also evident from cross-front ship transects, which additionally show the internal bore vertical structure and elevated turbulence behind the front (Fig. 8c).
Cross-shore velocities associated with internal waves can drive cross-shore transport of sediment. NLIWs create both onshore and offshore near-bed velocity pulses, with shoreward-propagating elevation (depression) waves advecting fluid shoreward (offshore) near the bed. Observed near-bed, cross-shore currents demonstrate that high-frequency elevation waves generate bed shear stresses that exceed the critical threshold for sediment motion (Fig. 9), and suspended particulates may not settle between internal waves within a packet (based on grab sample measurements of sediment size). Critical bed shear stress was estimated following Allen et al. (2018) (sand, d50 = 0.10 mm). Near-bed turbulence measurements indicate an asymmetry in turbulence across the internal waves, partly due to inflectional instability in adverse pressure gradients and partly due to the residence time of fluid within an internal wave pulse, and this asymmetry may lead to a net onshore transport of sediment (Becherer et al. 2020).

(top) A 1 h temperature time series covering 5–30 m above the bed (mab) from a lander at 35 m depth shows a packet of high-frequency waves of elevation. (middle) East–west velocity profiles over the 3 mab (black box in the top panel) from a pair of up- and down-looking, pulse-coherent, high-resolution ADCPs show strong near-bed velocities during the same time. (bottom) East–west velocity component from an ADV located roughly 1 mab (blue line in the middle panel) show the amplitude of currents associated with the time scale (∼12 min) of internal waves to be typically 4 to 5 times greater than the amplitude of currents associated with the time scale (∼8 s) of surface gravity waves. The ADV and ADCPs logged for 20 min every half hour. The observed near-bed flows exceeded the critical threshold for sediment motion.
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1

(top) A 1 h temperature time series covering 5–30 m above the bed (mab) from a lander at 35 m depth shows a packet of high-frequency waves of elevation. (middle) East–west velocity profiles over the 3 mab (black box in the top panel) from a pair of up- and down-looking, pulse-coherent, high-resolution ADCPs show strong near-bed velocities during the same time. (bottom) East–west velocity component from an ADV located roughly 1 mab (blue line in the middle panel) show the amplitude of currents associated with the time scale (∼12 min) of internal waves to be typically 4 to 5 times greater than the amplitude of currents associated with the time scale (∼8 s) of surface gravity waves. The ADV and ADCPs logged for 20 min every half hour. The observed near-bed flows exceeded the critical threshold for sediment motion.
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1
(top) A 1 h temperature time series covering 5–30 m above the bed (mab) from a lander at 35 m depth shows a packet of high-frequency waves of elevation. (middle) East–west velocity profiles over the 3 mab (black box in the top panel) from a pair of up- and down-looking, pulse-coherent, high-resolution ADCPs show strong near-bed velocities during the same time. (bottom) East–west velocity component from an ADV located roughly 1 mab (blue line in the middle panel) show the amplitude of currents associated with the time scale (∼12 min) of internal waves to be typically 4 to 5 times greater than the amplitude of currents associated with the time scale (∼8 s) of surface gravity waves. The ADV and ADCPs logged for 20 min every half hour. The observed near-bed flows exceeded the critical threshold for sediment motion.
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1
To complement observations, regional numerical simulations were used to identify the potential generation region of tidally forced internal waves (Kumar et al. 2019). The model indicated negligible local shelfbreak barotropic to baroclinic energy conversion compared to persistent but spatially variable energy conversion at an offshore escarpment located 80 km from the continental shelf, with near- and supercritical bottom bathymetry relative to an internal tidal beam (Kumar et al. 2019).
Headland wakes at Point Sal during the inner-shelf experiment
Headland wakes at Point Sal are expected to exhibit considerable complexity. The incident flow on this asymmetric headland is a combination of tidal and low-frequency currents, potentially leading to asymmetric vorticity production on either side of the point (MacKinnon et al. 2019). Furthermore, the strong internal tide, soliton, and bore phenomena described herein (“Internal wave dynamics” section, Fig. 7) may interact in heretofore unknown ways with the shear and vorticity of wake eddies. Here, we report preliminary observations of headland wakes from the ISDE.
A headland wake SST feature is observed at 1042 PDT 11 September 2017 from an airplane equipped with the MASS package (Fig. 10c). Here, a cold (<15°C) water wake is seen at the tip of Point Sal streaming to the southwest (SW) for 1 km. The cold wake may be induced by enhanced turbulent mixing from the rough rocky bathymetry with colder water below or offshore advection of colder nearshore water. Depth-limited wave breaking on a 3-m-depth rocky shoal 500 m west of Point Sal (see Fig. 10a) acts via vertical mixing as a secondary cold water source also streaming SW. The surface velocities west of Point Sal are SW at 0.15 to 0.2 m s−1 consistent with the spatial evolution of the cold wake. The headland wake also has smaller-scale features to ∼100 m. After about 1 km, the cold wake bends southeast, consistent with surface velocities, for another 1 km as it warms and broadens before its signature disappears. Based on a surface velocity of 0.15 m s−1, we hypothesize that the wake’s leading edge was generated 3.75 h previously.

Schematic of Point Sal headland wake sampling and modeling. (a) The R/V Sally Ann sampling within 100 m of Point Sal with wave breaking on offshore shoal in the background. (b) The R/V Sally Ride on an onshore transect toward Point Sal. (c) Aerial sea surface temperature near Point Sal at 1042 PDT 11 September 2017 from the airborne MASS system (Melville et al. 2016) in the east (x)–north (y) coordinate system with origin at Point Sal (34.9030°N, 120.6721°W). The color scale is set to highlight cold features streaming off of Point Sal. Note the curving streak of cold water emanating off of Point Sal. The near-surface (black arrows) and near-bed (gray arrows) ADCP velocities indicate regions of both convergence and vorticity consistent with the cold streak. A 25 cm s−1 velocity scale arrow is shown for reference. (d) R/Vs Kalipi, Sally Ann, and Sally Ride vessel surface temperature and near-surface velocity transects near Point Sal with overlaid bathymetry contours (15, 20, 25, and 30 m). The recirculation of the wake and the onshore-propagating warm bore are indicated. (e) Three-dimensional view of single R/Vs Sally Ann and Sally Ride temperature transects near Point Sal, indicating onshore-propagating warm bore and wake region in lee of Point Sal. (f) ROMS model at 1100 PDT 12 September 2017: (top) surface temperature and currents and (bottom) cross-shore temperature transect at the dashed line of the top panel. Note the colder water streaming off of Point Sal and the near-surface velocity arrows indicating a headland wake, recirculation, and vorticity.
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1

Schematic of Point Sal headland wake sampling and modeling. (a) The R/V Sally Ann sampling within 100 m of Point Sal with wave breaking on offshore shoal in the background. (b) The R/V Sally Ride on an onshore transect toward Point Sal. (c) Aerial sea surface temperature near Point Sal at 1042 PDT 11 September 2017 from the airborne MASS system (Melville et al. 2016) in the east (x)–north (y) coordinate system with origin at Point Sal (34.9030°N, 120.6721°W). The color scale is set to highlight cold features streaming off of Point Sal. Note the curving streak of cold water emanating off of Point Sal. The near-surface (black arrows) and near-bed (gray arrows) ADCP velocities indicate regions of both convergence and vorticity consistent with the cold streak. A 25 cm s−1 velocity scale arrow is shown for reference. (d) R/Vs Kalipi, Sally Ann, and Sally Ride vessel surface temperature and near-surface velocity transects near Point Sal with overlaid bathymetry contours (15, 20, 25, and 30 m). The recirculation of the wake and the onshore-propagating warm bore are indicated. (e) Three-dimensional view of single R/Vs Sally Ann and Sally Ride temperature transects near Point Sal, indicating onshore-propagating warm bore and wake region in lee of Point Sal. (f) ROMS model at 1100 PDT 12 September 2017: (top) surface temperature and currents and (bottom) cross-shore temperature transect at the dashed line of the top panel. Note the colder water streaming off of Point Sal and the near-surface velocity arrows indicating a headland wake, recirculation, and vorticity.
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1
Schematic of Point Sal headland wake sampling and modeling. (a) The R/V Sally Ann sampling within 100 m of Point Sal with wave breaking on offshore shoal in the background. (b) The R/V Sally Ride on an onshore transect toward Point Sal. (c) Aerial sea surface temperature near Point Sal at 1042 PDT 11 September 2017 from the airborne MASS system (Melville et al. 2016) in the east (x)–north (y) coordinate system with origin at Point Sal (34.9030°N, 120.6721°W). The color scale is set to highlight cold features streaming off of Point Sal. Note the curving streak of cold water emanating off of Point Sal. The near-surface (black arrows) and near-bed (gray arrows) ADCP velocities indicate regions of both convergence and vorticity consistent with the cold streak. A 25 cm s−1 velocity scale arrow is shown for reference. (d) R/Vs Kalipi, Sally Ann, and Sally Ride vessel surface temperature and near-surface velocity transects near Point Sal with overlaid bathymetry contours (15, 20, 25, and 30 m). The recirculation of the wake and the onshore-propagating warm bore are indicated. (e) Three-dimensional view of single R/Vs Sally Ann and Sally Ride temperature transects near Point Sal, indicating onshore-propagating warm bore and wake region in lee of Point Sal. (f) ROMS model at 1100 PDT 12 September 2017: (top) surface temperature and currents and (bottom) cross-shore temperature transect at the dashed line of the top panel. Note the colder water streaming off of Point Sal and the near-surface velocity arrows indicating a headland wake, recirculation, and vorticity.
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1
Multiple vessels transected near Point Sal on 13 September 2017; however, thick clouds prevented airplane observations. Transects over a 1.5 h (1130–1300 PDT) duration are shown in Fig. 10 together with sea surface temperature and shipboard ADCP surface velocities. The composite shipboard measurements reveal aspects of the wake structure. Upstream of the point, the flow is warm offshore and cooler inshore, with strong cross-shore shear in the southward flow (Figs. 10a,b). This cross-shore shear is in the sense of positive (cyclonic) vorticity. Headland flow separation transports vorticity offshore, producing the ∼1-km-sized cyclonically rotating eddy visible both in the airborne image and the shipboard current data. Near x = 0 m, the R/V Sally Ann velocity measurements show recirculation as cooler water is drawn back toward the headland. Subsurface, the wake reduces stratification and isopycnal tilt as seen for example both in the Sally Ann transect near x = 0 m (Fig. 10e) and in the model transect (lower portion of Fig. 10f). Mooring data (not shown) reveal a strong tidal component to the flow, making wake generation an often regular tidal cycle event. Kovatch et al. (2021) further explore headland vorticity generation.
A defining feature of this field program is the capability to observe the superposition of multiple different physical features, in complex and often interacting ways. Here, onshore-propagating nonlinear tidal bores and solitons often propagated through wakes. An example of which is seen in Fig. 10e). Warm water in the offshore end of both the R/V Sally Ann and Sally Ride transects were bounded by very sharp gradients. The onshore-propagating warm bore was at least 10 m thick with 0.2–3 m s−1 onshore velocities. These warm bores were similar to those seen around Oceano (McSweeney et al. 2020b) and they propagate deep into the bay in the lee of Point Sal (not shown).
The Point Sal region ROMS simulations (described in more detail in the “Modeling program” section) also show similar headland wake generation (Fig. 10f). For 1100 PDT 12 September 2017, the model has a headland wake but no incident warm bores. Just north of Point Sal, flow is down-coast to the SSW and the near-shoreline waters are cooler, which separate from Point Sal and propagate in a cold streak to the SW before curving SE after 1 km. This overall pattern is consistent with the SST and ADCP velocities in Fig. 10c. At the south coast of Point Sal, the westward velocities bring colder water that merges with the wake. On the cross-shore transect, isotherms can be significantly displaced leading to regions of reduced or increased stratification consistent with Fig. 10e. Overall, the modeled headland wake features are qualitatively consistent with the observations.
Exchange and interactions with the surfzone
One objective of the ISDE was to quantify the role of the surfzone as an onshore “boundary condition” to the shelf. In particular, it is not known how cross-shore exchange, or the magnitude of onshore or offshore material transport, varies along a complex coastline. Furthermore, the extent to which shelf and surfzone processes, including rip currents and internal waves, influence each other is poorly understood.
To quantify bathymetric and transient rip currents, eddies, fronts, internal waves, and other processes in the surfzone to inner-shelf transition region, the team collected observations of temperature, salinity, turbidity, fluorescence, radar backscatter, and velocities from a range of complementary observational platforms: moorings in 5–10 m water depth, drifters, land-based X-band radar, sUAS-based visible imaging, manned aircraft thermal IR and visible imaging, and along-coast surveys coordinated from multiple vessels. On many occasions the aircraft, small-boat, and shore-based radar/sUAS teams used real-time visual or instrumental observations to target interesting events opportunistically. The resulting dataset is rich with signatures of processes driving exchange between the surfzone and inner shelf, with strong variations at a range of space and time scales.
Particularly striking are events in which rip currents appear to collide with shoreward-propagating internal waves and fronts. On numerous occasions fronts or internal waves were observed in radar or airborne data to reach the surfzone edge (several hundred meters from the shoreline), sometimes appearing to “wrap around” rip-current plumes that extended up to several surfzone widths offshore (up to 1 km from the shoreline; Fig. 11b).

Interactions between surfzone rip currents and internal waves on the shelf. (a) Airborne thermal infrared image (°C, calibrated with radiometer), taken on 15 Oct 2017 starting at 1639 UTC, composed of a mosaicked set of images from a continuous nearly 50-km along-coast transect centered at Point Sal (near y = 0 m). Cool “plumes” driven by rip currents (e.g., cool features emerging from the surfzone) with several-hundred-meter cross-shore scales at 0 < y < 22 km and −12 < y < −7 km are observed, along with signatures of fronts and internal waves (e.g., strong frontal signature at −4 < y < −6 km). In the southernmost half of the image, a strong front was observed to intersect with plumes in the surfzone. Inset shows zoom to 1 km × 5 km region with cool plumes. Dashed box in (a) shows the location of the radar image in (b) and the blue dot shows mooring location in both panels. (b) X-band radar subimage. Dashed box in (b) shows the location of the sUAS image in (c). (c) Rectified visible image from sUAS. (d) Mooring time series of the east–west velocity profile. (e) Temperature vs depth time series for an event in which an internal wave [bright band in (b), white foam line in (c) indicated by arrows] intersected with a rip current [plumelike feature in (b) and (c) near y = 8 km] on 12–13 Sep 2017. The time of the radar image is shown with a vertical line in the velocity and temperature profiles. The gap in the temperature profiles in (e) from approximately z = −3 to −5 m is due to the loss of two temperature sensors during the deployment period.
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1

Interactions between surfzone rip currents and internal waves on the shelf. (a) Airborne thermal infrared image (°C, calibrated with radiometer), taken on 15 Oct 2017 starting at 1639 UTC, composed of a mosaicked set of images from a continuous nearly 50-km along-coast transect centered at Point Sal (near y = 0 m). Cool “plumes” driven by rip currents (e.g., cool features emerging from the surfzone) with several-hundred-meter cross-shore scales at 0 < y < 22 km and −12 < y < −7 km are observed, along with signatures of fronts and internal waves (e.g., strong frontal signature at −4 < y < −6 km). In the southernmost half of the image, a strong front was observed to intersect with plumes in the surfzone. Inset shows zoom to 1 km × 5 km region with cool plumes. Dashed box in (a) shows the location of the radar image in (b) and the blue dot shows mooring location in both panels. (b) X-band radar subimage. Dashed box in (b) shows the location of the sUAS image in (c). (c) Rectified visible image from sUAS. (d) Mooring time series of the east–west velocity profile. (e) Temperature vs depth time series for an event in which an internal wave [bright band in (b), white foam line in (c) indicated by arrows] intersected with a rip current [plumelike feature in (b) and (c) near y = 8 km] on 12–13 Sep 2017. The time of the radar image is shown with a vertical line in the velocity and temperature profiles. The gap in the temperature profiles in (e) from approximately z = −3 to −5 m is due to the loss of two temperature sensors during the deployment period.
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1
Interactions between surfzone rip currents and internal waves on the shelf. (a) Airborne thermal infrared image (°C, calibrated with radiometer), taken on 15 Oct 2017 starting at 1639 UTC, composed of a mosaicked set of images from a continuous nearly 50-km along-coast transect centered at Point Sal (near y = 0 m). Cool “plumes” driven by rip currents (e.g., cool features emerging from the surfzone) with several-hundred-meter cross-shore scales at 0 < y < 22 km and −12 < y < −7 km are observed, along with signatures of fronts and internal waves (e.g., strong frontal signature at −4 < y < −6 km). In the southernmost half of the image, a strong front was observed to intersect with plumes in the surfzone. Inset shows zoom to 1 km × 5 km region with cool plumes. Dashed box in (a) shows the location of the radar image in (b) and the blue dot shows mooring location in both panels. (b) X-band radar subimage. Dashed box in (b) shows the location of the sUAS image in (c). (c) Rectified visible image from sUAS. (d) Mooring time series of the east–west velocity profile. (e) Temperature vs depth time series for an event in which an internal wave [bright band in (b), white foam line in (c) indicated by arrows] intersected with a rip current [plumelike feature in (b) and (c) near y = 8 km] on 12–13 Sep 2017. The time of the radar image is shown with a vertical line in the velocity and temperature profiles. The gap in the temperature profiles in (e) from approximately z = −3 to −5 m is due to the loss of two temperature sensors during the deployment period.
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1
Aircraft thermal infrared observations captured numerous signatures of plumes originating in the surfzone interacting with fronts and internal waves on the shelf (Fig. 11a). These signatures were strongest (1°C) in the infrared maps of the ocean skin temperature during periods of relatively weak winds, and thus were complementary to the X-band radar measurements, which require moderate wind conditions. A noteworthy observation was that the surface temperature of rip current plumes often was distinct (either cooler or warmer) from surface temperatures on the shelf. Cool plumes were more prevalent in the morning (Fig. 11a; also see Grimes et al. 2020b) and warm plumes were more common in the afternoon (Hally-Rosendahl et al. 2014; Moulton et al. 2021). At times, both cool and warm plumes were present (not shown), possibly as a function of location relative to headland topography, or as a result of differential transport by shore-intersecting internal bores. Preliminary results suggest that cross-shore length scales of cool plumes are smaller than warm plumes, and that the plume temperature also controls vertical structure, with cool plumes subducting (e.g., Kumar and Feddersen 2017c; Grimes et al. 2020a) and warm plumes spreading in a thin layer near the surface (Moulton et al. 2021). Infrared signatures of shoreward-propagating fronts were observed to reach the surfzone and interact with rip currents (Fig. 11a; y < −5 km), similar to the X-band radar observations.
Hydrodynamic features such as rip currents, fronts, and internal waves appear in X-band radar imagery as areas of increased or decreased backscatter intensity. Figure 11b shows a large rip current (high intensity feature at y = 8.1 km) appearing to interact with an onshore-propagating internal bore (visible as alongshore bands of high and low backscatter). An optical image of the same interaction (Fig. 11c) from a sUAS shows a white foam line carried by the internal bore as it bends around the rip current plume (with the location of the foam line indicated with arrows). Temporally overlapping mooring data show temporal patterns in the east–west velocity and temperature fields associated with the passing features observed in the radar imagery (Figs. 11d and 11e, respectively; the blue dot indicates sensor location in Fig. 11b). The bright linear radar feature (transecting the blue dot) is collocated with the back face of a cold pulse at depth (5°C cooler than the surface water; see Fig. 11e) lasting around 6 h at the sensor location. These and other mooring data indicate that internal waves alter the stratification outside of the surfzone on relatively short time scales. This rapid stratification of an unstratified region is expected to influence offshore material transport by rip currents (Kumar and Feddersen 2017b,c,a).
Subtidal, wind-driven, mesoscale, relaxation
Subtidal motions and water-column structure at the study region are dominated by wind forcing, but an along-shelf pressure gradient is also important for driving northward currents over the inner to midshelf in this region (Winant et al. 2003; Cudaback et al. 2005; Melton et al. 2009; Fewings et al. 2015). This along-shelf pressure gradient can be associated with prevailing winds in combination with local coastline topographic variability, wind relaxation events, or with remotely generated coastal-trapped waves (Auad et al. 1998; Hickey et al. 2003; Melton et al. 2009; Washburn et al. 2011).
Here, we use a subset of the observations collected during the ISDE to focus on subtidal flows to the north of Point Sal, a region of relatively simple, planar continental shelf bathymetry, and around the three-dimensional point itself. We use 26 mooring–lander pairs that measured water-column temperature and velocity using thermistors and bottom-mounted ADCPs, as well as water-column observations made during the two intensive observation periods (Fig. 3). We use water-column velocity measured from a downward-looking, 600 (1,200)-kHz ADCP mounted on a side pole from R/V Oceanus (R/V Kalipi).
Mooring, lander and wind time series are low-pass filtered to remove diurnal, semi-diurnal and shorter time-scale fluctuations. At each mooring, temperature anomalies are defined by subtracting the time-mean temperature at each mooring sensor across the entire moored array. These temperature anomalies are objectively mapped onto the study region (Fig. 12).

(top) North–south wind speed (m s−1) from NDBC buoy 46011. Periods when winds are upwelling-favorable (southward) and greater than 4 m s−1 are highlighted with a thick blue curve. (bottom) Average (left) near-surface (1 m) temperature anomalies from objective mapping of moored sensors, and currents (8 m) and (right) 25 m currents during an upwelling-favorable wind event on 14 Oct 2017. Currents measured by the mooring array are in black and those from repeated ship surveys around Point Sal are in green (R/V Oceanus) and magenta (R/V Kalipi). Dashed colored lines indicate sections for computing fluxes. Isobaths are plotted every 10 m to 50 m and then the 100 m isobath is plotted.
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1

(top) North–south wind speed (m s−1) from NDBC buoy 46011. Periods when winds are upwelling-favorable (southward) and greater than 4 m s−1 are highlighted with a thick blue curve. (bottom) Average (left) near-surface (1 m) temperature anomalies from objective mapping of moored sensors, and currents (8 m) and (right) 25 m currents during an upwelling-favorable wind event on 14 Oct 2017. Currents measured by the mooring array are in black and those from repeated ship surveys around Point Sal are in green (R/V Oceanus) and magenta (R/V Kalipi). Dashed colored lines indicate sections for computing fluxes. Isobaths are plotted every 10 m to 50 m and then the 100 m isobath is plotted.
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1
(top) North–south wind speed (m s−1) from NDBC buoy 46011. Periods when winds are upwelling-favorable (southward) and greater than 4 m s−1 are highlighted with a thick blue curve. (bottom) Average (left) near-surface (1 m) temperature anomalies from objective mapping of moored sensors, and currents (8 m) and (right) 25 m currents during an upwelling-favorable wind event on 14 Oct 2017. Currents measured by the mooring array are in black and those from repeated ship surveys around Point Sal are in green (R/V Oceanus) and magenta (R/V Kalipi). Dashed colored lines indicate sections for computing fluxes. Isobaths are plotted every 10 m to 50 m and then the 100 m isobath is plotted.
Citation: Bulletin of the American Meteorological Society 102, 5; 10.1175/BAMS-D-19-0281.1
In this region, because along-shelf pressure gradients due to warm water to the south of nearby coastal promontories, most notably Point Conception, California, drive currents to the north even in the presence of substantial nonzero, upwelling-favorable winds,