A New Look at the Pseudo-Incompressible Solution to Lamb's Problem of Hydrostatic Adjustment

Ann S. Almgren


The pseudo-incompressible solution to Lamb's problem of the hydrostatic adjustment of the atmosphere is revisited using a generalized formulation which allows time variation of the base state. It is found that the generalized pseudo-incompressible equations do reproduce the compressible solution of the nonlinear hydrostatic adjustment in the limit of small heating.