Advanced-Research Wrf dynamics and numerics
The WRF-ARW core is based on an Eulerian solver
for the fully compressible nonhydrostatic equations, cast in flux
(conservative) form, using a mass (hydrostatic pressure) vertical
coordinate. Prognostic variables for this solver are column mass
of dry air (mu), velocities u, v and w (vertical velocity), potential
temperature, and geopotential. Non-conserved variables (e.g. temperature,
pressure, density) are diagnosed from the conserved prognostic variables.
The solver uses a third-order Runge-Kutta time-integration scheme
coupled with a split-explicit 2nd-order time integration scheme
for the acoustic and gravity-wave modes. 5th-order upwind-biased
advection operators are used in the fully conservative flux divergence
integration; 2nd-6th order schemes are run-time selectable.
The following papers describe the equations and
numerical schemes used in the WRF ARW core.
Klemp, J. B., W. C. Skamarock, and J. Dudhia,
2007: Conservative split-explicit time integration methods for the
compressible nonhydrostatic equations. Mon. Wea. Rev.,
Skamarock, W. C., and J. B. Klemp, 2007: A time-split
nonhydrostatic atmospheric model for research and NWP applications.
J. Comp. Phys., special issue on environmental modeling. Accepted
Skamarock, W. C., 2006: Positive-Definite and
Montonic Limiters for Unrestricted-Timestep Transport Schemes. Mon.
Wea. Rev., 134, 2241-2250 (pdf
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 Notes-468+STR
Skamarock, W. C., 2004: Evaluating Mesoscale NWP
Models Using Kinetic Energy Spectra. Mon. Wea., Rev., 132,
Wicker, L. J., and W. C. Skamarock, 2002: Time
splitting methods for elastic models using forward time schemes
file). Mon. Wea. Rev., 130, 2088-2097.