NWP | Non-hydrostatic numerical models for the atmosphere

A review of non-hydrostatic numerical models for the atmosphere

Xu, L., Raman, S., & Madala, R. V. (1992, August). A review of non-hydrostatic numerical models for the atmosphere. In 1st World Congress of Nonlinear Analysis Fire and Forest Meteorology. Nonlinear World, Walter de Gruyter, New York, Tampa, FL.

Three major components are discussed.

• Governing equations
  • Various approximations to governing equations
  • The Boussinesq anelastic and fully compressible treatments
  • Various vertical coordinate systems
• Numerical techniques
  • To handle acoustic and fast moving gravity modes
  • Including semi-implicit and split-explicit time integration schemes to control the acoustic modes
  • Method of defining vertical and lateral boundary conditions are also discussed
• Inclusion of nonlinear physical processes
  • Review inclusion of nonlinear physical processes

References

1. Steppeler, J., Hess, R., Schättler, U., & Bonaventura, L. (2003). Review of numerical methods for nonhydrostatic weather prediction models. Meteorology and Atmospheric Physics, 82, 287-301.
2. Xu, L., Raman, S., & Madala, R. V. (1992, August). A review of non-hydrostatic numerical models for the atmosphere. In 1st World Congress of Nonlinear Analysis Fire and Forest Meteorology. Nonlinear World, Walter de Gruyter, New York, Tampa, FL.
3. Skamarock, William C., and Joseph B. Klemp. "The stability of time-split numerical methods for the hydrostatic and the nonhydrostatic elastic equations." Monthly Weather Review 120.9 (1992): 2109-2127.
4. Skamarock, William C. "Numerical methods for non-hydrostastic models" (1991)