Explicit Numerical Diffusion in the WRF Model

Jason C. Knievel National Center for Atmospheric Research,* Boulder, Colorado

Search for other papers by Jason C. Knievel in
Current site
Google Scholar
PubMed
Close
,
George H. Bryan National Center for Atmospheric Research,* Boulder, Colorado

Search for other papers by George H. Bryan in
Current site
Google Scholar
PubMed
Close
, and
Joshua P. Hacker National Center for Atmospheric Research,* Boulder, Colorado

Search for other papers by Joshua P. Hacker in
Current site
Google Scholar
PubMed
Close
Restricted access

We are aware of a technical issue preventing figures and tables from showing in some newly published articles in the full-text HTML view.
While we are resolving the problem, please use the online PDF version of these articles to view figures and tables.

Abstract

Diffusion that is implicit in the odd-ordered advection schemes in early versions of the Advanced Research core of the Weather Research and Forecasting (WRF) model is sometimes insufficient to remove noise from kinematical fields. The problem is worst when grid-relative wind speeds are low and when stratification is nearly neutral or unstable, such as in weakly forced daytime boundary layers, where noise can grow until it competes with the physical phenomena being simulated. One solution to this problem is an explicit, sixth-order numerical diffusion scheme that preserves the WRF model’s high effective resolution and uses a flux limiter to ensure monotonicity. The scheme, and how it was added to the WRF model, are explained. The scheme is then demonstrated in an idealized framework and in simulations of salt breezes and lake breezes in northwestern Utah.

Corresponding author address: Dr. Jason Knievel, NCAR, 3450 Mitchell Ln., Boulder, CO 80301. Email: knievel@ucar.edu

Abstract

Diffusion that is implicit in the odd-ordered advection schemes in early versions of the Advanced Research core of the Weather Research and Forecasting (WRF) model is sometimes insufficient to remove noise from kinematical fields. The problem is worst when grid-relative wind speeds are low and when stratification is nearly neutral or unstable, such as in weakly forced daytime boundary layers, where noise can grow until it competes with the physical phenomena being simulated. One solution to this problem is an explicit, sixth-order numerical diffusion scheme that preserves the WRF model’s high effective resolution and uses a flux limiter to ensure monotonicity. The scheme, and how it was added to the WRF model, are explained. The scheme is then demonstrated in an idealized framework and in simulations of salt breezes and lake breezes in northwestern Utah.

Corresponding author address: Dr. Jason Knievel, NCAR, 3450 Mitchell Ln., Boulder, CO 80301. Email: knievel@ucar.edu

Save
  • Bryan, G. H., 2005: Spurious convective organization in simulated squall lines owing to moist absolutely unstable layers. Mon. Wea. Rev., 133 , 19781997.

    • Search Google Scholar
    • Export Citation
  • Davis, C. A., T. Warner, E. Astling, and J. Bowers, 1999: Development and application of an operational, relocatable mesogamma-scale weather analysis and forecasting system. Tellus, 51A , 710727.

    • Search Google Scholar
    • Export Citation
  • Durran, D. R., 1999: Numerical Methods for Wave Equations in Geophysical Fluid Dynamics. Springer, 465 pp.

  • Errico, R. M., 1985: Spectra computed from a limited area grid. Mon. Wea. Rev., 113 , 15541562.

  • Hundsdorfer, W., B. Koren, M. van Loon, and J. G. Verwer, 1995: A positive finite-difference advection scheme. J. Comput. Phys., 117 , 3546.

    • Search Google Scholar
    • Export Citation
  • Knievel, J. C., G. H. Bryan, and J. P. Hacker, 2005: The utility of 6th-order, monotonic, numerical diffusion in the Advanced Research WRF model. Preprints, Joint WRF/MM5 Users’ Workshop, Boulder, CO, National Center for Atmospheric Research, CD-ROM, P3.15.

  • NCAR, cited. 2006: WRF model version 2.1.2: Known problems and fixes. [Available online at http://www.mmm.ucar.edu/wrf/users/wrfv2/known-prob.html.].

  • Rife, D. L., T. T. Warner, F. Chen, and E. G. Astling, 2002: Mechanisms for diurnal boundary layer circulations in the Great Basin Desert. Mon. Wea. Rev., 130 , 921938.

    • Search Google Scholar
    • Export Citation
  • Skamarock, W. C., 2004: Evaluating mesoscale NWP models using kinetic energy spectra. Mon. Wea. Rev., 132 , 30193032.

  • Skamarock, W. C., J. B. Klemp, J. Dudhia, D. O. Gill, D. M. Barker, W. Wang, and J. G. Powers, 2005: A description of the Advanced Research WRF version 2. NCAR Tech. Note NCAR/TN-468+STR, 88 pp. [Available online at http://www.mmm.ucar.edu/wrf/users/docs/arw_v2.pdf.].

  • Steenburgh, W. J., S. F. Halvorson, and D. J. Onton, 2000: Climatology of lake-effect snowstorms of the Great Salt Lake. Mon. Wea. Rev., 128 , 709727.

    • Search Google Scholar
    • Export Citation
  • Takemi, T., and R. Rotunno, 2003: The effects of subgrid model mixing and numerical filtering in simulations of mesoscale cloud systems. Mon. Wea. Rev., 131 , 20852101. Corrigendum. 133 , 339341.

    • Search Google Scholar
    • Export Citation
  • Whiteman, C. D., 2000: Mountain Meteorology: Fundamentals and Applications. Oxford University Press, 355 pp.

  • Wicker, L. J., and W. C. Skamarock, 2002: Time-splitting methods for elastic models using forward time schemes. Mon. Wea. Rev., 130 , 20882097.

    • Search Google Scholar
    • Export Citation
  • Xu, M., J-W. Bao, T. T. Warner, and D. J. Stensrud, 2001: Effect of time step size in MM5 simulations of a mesoscale convective system. Mon. Wea. Rev., 129 , 502516.

    • Search Google Scholar
    • Export Citation
  • Xue, M., 2000: High-order monotonic numerical diffusion and smoothing. Mon. Wea. Rev., 128 , 28532864.

All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 2415 923 394
PDF Downloads 1090 153 31