Simulated Density Currents beneath Embedded Stratified Layers

Robert B. Seigel Department of Atmospheric Science, Colorado State University, Fort Collins, Colorado

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Susan C. van den Heever Department of Atmospheric Science, Colorado State University, Fort Collins, Colorado

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Abstract

The goal of this research is to investigate the impacts of a stably stratified layer embedded within a neutrally stratified environment on the behavior of density currents in an effort to extend the environmental regimes examined by Liu and Moncrieff. Such environments frequently support severe weather events. To accomplish this goal, nonhydrostatic numerical model experiments are performed in which the strength and height of the embedded stably stratified layer within a neutrally stratified environment are varied. The 1-km-deep stable layer base is varied between 1, 2, and 3 km AGL. Additionally, the strength of the stable layer is systematically varied between Brunt–Väisälä frequencies of 0.006, 0.012, and 0.018 s−1, following the methodology of Liu and Moncrieff. The model and grid setup are also similar to that of Liu and Moncrieff, utilizing the Arakawa C grid, leapfrog advection, a Robert–Asselin filter, and grid spacing of 100 and 50 m in the horizontal and vertical directions, respectively. Results show that the height of the density current decreases and the propagation speed increases with stronger and lower stable layers, provided that the stable layer is sufficiently thin so as to not act as a gravity wave ducting layer. As the strength of the stable layer increases and the height of this layer decreases, the horizontal pressure gradient driving the density current increases, resulting in faster propagation speeds. Such results have implications for cold pool propagation into more stable environments.

Corresponding author address: Robert B. Seigel, 1371 Campus Delivery Drive, Fort Collins, CO 80523. E-mail: rseigel@atmos.colostate.edu

Abstract

The goal of this research is to investigate the impacts of a stably stratified layer embedded within a neutrally stratified environment on the behavior of density currents in an effort to extend the environmental regimes examined by Liu and Moncrieff. Such environments frequently support severe weather events. To accomplish this goal, nonhydrostatic numerical model experiments are performed in which the strength and height of the embedded stably stratified layer within a neutrally stratified environment are varied. The 1-km-deep stable layer base is varied between 1, 2, and 3 km AGL. Additionally, the strength of the stable layer is systematically varied between Brunt–Väisälä frequencies of 0.006, 0.012, and 0.018 s−1, following the methodology of Liu and Moncrieff. The model and grid setup are also similar to that of Liu and Moncrieff, utilizing the Arakawa C grid, leapfrog advection, a Robert–Asselin filter, and grid spacing of 100 and 50 m in the horizontal and vertical directions, respectively. Results show that the height of the density current decreases and the propagation speed increases with stronger and lower stable layers, provided that the stable layer is sufficiently thin so as to not act as a gravity wave ducting layer. As the strength of the stable layer increases and the height of this layer decreases, the horizontal pressure gradient driving the density current increases, resulting in faster propagation speeds. Such results have implications for cold pool propagation into more stable environments.

Corresponding author address: Robert B. Seigel, 1371 Campus Delivery Drive, Fort Collins, CO 80523. E-mail: rseigel@atmos.colostate.edu
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  • Bischoff-Gauss, I., and G. Gross, 1989: Numerical studies on cold fronts. Part I: Gravity flows in a neutral and stratified atmosphere. Meteor. Atmos. Phys., 40, 150158.

    • Search Google Scholar
    • Export Citation
  • Bryan, G. H., and M. D. Parker, 2010: Observations of a squall line and its near environment using high-frequency rawinsonde launches during VORTEX2. Mon. Wea. Rev., 138, 40764097.

    • Search Google Scholar
    • Export Citation
  • Charba, J., 1974: Application of gravity current model to analysis of squall-line gust front. Mon. Wea. Rev., 102, 140156.

  • Clark, T. L., 1977: A small-scale dynamic model using a terrain-following coordinate transformation. J. Comp. Phys., 24, 186215.

  • Davies, J. M., 2004: Estimations of CIN and LFC associated with tornadic and nontornadic supercells. Wea. Forecasting, 19, 714726.

  • Droegemeier, K. K., and R. B. Wilhelmson, 1985: Three-dimensional numerical modeling of convection produced by interacting thunderstorm outflows. Part II: variations in vertical wind shear. J. Atmos. Sci., 42, 24042414.

    • Search Google Scholar
    • Export Citation
  • Droegemeier, K. K., and R. B. Wilhelmson, 1987: Numerical simulation of thunderstorm outflow dynamics. Part I: Outflow sensitivity experiments and turbulence dynamics. J. Atmos. Sci., 44, 11801210.

    • Search Google Scholar
    • Export Citation
  • Engerer, N. A., D. J. Stensrud, and M. C. Coniglio, 2008: Surface characteristics of observed cold pools. Mon. Wea. Rev., 136, 48394849.

    • Search Google Scholar
    • Export Citation
  • Goff, R. C., 1976: Vertical structure of thunderstorm outflows. Mon. Wea. Rev., 104, 14291440.

  • Haase, S. P., and R. K. Smith, 1989: The numerical simulation of atmospheric gravity currents. Part II: Environments with stable layers. Geophys. Astrophys. Fluid Dyn., 46, 3551.

    • Search Google Scholar
    • Export Citation
  • Jin, Y., S. E. Koch, Y.-L. Lin, F. M. Ralph, and C. Chen, 1996: Numerical simulations of an observed gravity current and gravity waves in an environment characterized by complex stratification and shear. J. Atmos. Sci., 53, 35703588.

    • Search Google Scholar
    • Export Citation
  • Lindzen, R. S., and K.-K. Tung, 1976: Banded convective activity and ducted gravity waves. Mon. Wea. Rev., 104, 16021617.

  • Liu, C.-H., and M. W. Moncrieff, 1996a: A numerical study of the effects of ambient flow and shear on density currents. Mon. Wea. Rev., 124, 22822303.

    • Search Google Scholar
    • Export Citation
  • Liu, C.-H., and M. W. Moncrieff, 1996b: An analytical study of density currents in sheared, stratified fluids including the effects of latent heating. J. Atmos. Sci., 53, 33033312.

    • Search Google Scholar
    • Export Citation
  • Liu, C.-H., and M. W. Moncrieff, 2000: Simulated density currents in idealized stratified environments. Mon. Wea. Rev., 128, 14201437.

    • Search Google Scholar
    • Export Citation
  • Miles, J. W., 1961: On the stability of heterogeneous shear flows. J. Fluid Mech., 10, 496508.

  • Moncrieff, M. W., and C. Liu, 1999: Convection initiation by density currents: Role of convergence, shear, and dynamical organization. Mon. Wea. Rev., 127, 24552464.

    • Search Google Scholar
    • Export Citation
  • Raymond, D. J., and R. Rotunno, 1989: Response of a stably stratified flow to cooling. J. Atmos. Sci., 48, 28302837.

  • Schmidt, J. M., and W. R. Cotton, 1989: A high plains squall line associated with severe surface winds. J. Atmos. Sci., 46, 281302.

  • Simpson, J., 1969: A comparison between laboratory and atmospheric density currents. Quart. J. Roy. Meteor. Soc., 95, 758765.

  • Simpson, J., 1997: Gravity Currents in the Environment and the Laboratory. John Wiley, 244 pp.

  • Smith, W. P., and R. L. Gall, 1989: Tropical squall lines of the Arizona monsoon. Mon. Wea. Rev., 117, 15531569.

  • Straka, J. M., and J. R. Anderson, 1993: Extension and application of a local, minimum aliasing method to multidimensional problems in limited-area domains. Mon. Wea. Rev., 121, 29032918.

    • Search Google Scholar
    • Export Citation
  • Straka, J. M., R. B. Wilhelmson, L. J. Wicker, J. R. Anderson, and K. K. Droegemeier, 1993: Numerical solutions of a non-linear density current: A benchmark solution and comparisons. Int. J. Numer. Methods Fluids, 17, 122.

    • Search Google Scholar
    • Export Citation
  • Thorpe, A. J., M. J. Miller, and M. W. Moncrieff, 1980: Dynamical models of two-dimensional downdraughts. Quart. J. Roy. Meteor. Soc., 106, 463484.

    • Search Google Scholar
    • Export Citation
  • Wolfson, M. M., 1983: Understanding and predicting microbursts. Ph.D. dissertation, Massachusetts Institute of Technology, 303 pp.

  • Xu, Q., 1992: Density currents in shear flows—A two-fluid model. J. Atmos. Sci., 49, 511524.

  • Xu, Q., M. Xue, and K. K. Droegemeier, 1996: Numerical simulation of density currents in sheared environments within a vertically confined channel. J. Atmos. Sci., 53, 770786.

    • Search Google Scholar
    • Export Citation
  • Xue, M., 2000: Density currents in two-layer shear flows. Quart. J. Roy. Meteor. Soc., 126, 13011320.

  • Xue, M., 2002: Density currents in shear flows: Effects of rigid lid and cold-pool internal circulation, and application to squall line dynamics. Quart. J. Roy. Meteor. Soc., 128, 4773.

    • Search Google Scholar
    • Export Citation
  • Ziegler, C. L., E. R. Mansell, J. M. Straka, D. R. MacGorman, and D. W. Burgess, 2010: The impact of spatial variations of low-level stability on the life cycle of a simulated supercell storm. Mon. Wea. Rev., 138, 17381766.

    • Search Google Scholar
    • Export Citation
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