Semi-implicit, semi-lagrangian scheme for the compressible nonhydrostatic equations of the atmosphere

摘要

A semiimplicit, semiLagrangian scheme for the fully compressible Euler equations of the atmosphere has been developed using a Cartesian coordinate system with height as the vertical coordinate. As a result, an efficient algorithm is obtained, which only requires the solution of a symmetric and well conditioned system at each timestep. Furthermore, no spurious flows are generated around steep orography. Numerical simulations of well known lee wave test cases demonstrate the soundness and feasibility of the proposed scheme. (orig.) 34 refs.