Abstract
A system of equations suitable to follow meso-scale meteorological phenomena is presented. The system describes the non-rotating, non-hydrostatic, compressible and adiabatic, inviscid fluid motions and strictly preserves both the total mass and the total energy when it is applied to a closed domain.
The finite-difference analogues to the original system are employed in the numerical simulation of the evolution of the mountain waves under a typical winter condition. The consequences show fairly good agreement with those of the linear, steady, non-hydrostatic Boussinesque solution, because of the gently sloping mountain profile adopted in the numerical simulation.
The possible future development and merit of the present system are mentioned briefly.
