Hydrostatic Adjustment in Nonhydrostatic, Compressible Mesoscale Models

Abstract

The ability of various numerical techniques used in compressible, nonhydrostatic models to handlehydrostatic adjustment is intercompared. The exact solution of a linearized model of an isothermal, compressible, nonrotating atmosphere is compared against those from finite-differenced versions of the samemodel. For the semi-implicit scheme, the scheme traps acoustic waves near the point of excitation but haslittle effect on gravity waves. The time-splitting scheme captures hydrostatic adjustment well.