A ``stratified'' spectral model for stable and convective atmospheres
type: Item
instance of: scholarly article
title: A ``stratified'' spectral model for stable and convective atmospheres
zbMATH Open document ID: 0809.76073
author: V. Pereyra
published in: Journal of Computational Physics
publication date: 1994-10-17T00:00:00Z
review text: Taking advantages of the simplicity of implementing implicit time stepping in spectral models, we solve a non-hydrostatic, fully compressible version of the hydrodynamic equations without the time step restrictions imposed by acoustic and gravity waves. To simplify the nonlinear terms and to conserve the total mass and total angular momentum to round-off accuracy, we introduce a ``stratified'' approximation which limits the nonlinearity of the equations to quadratic. The linear terms remain intact so that all the linear waves are preserved. Tests are presented to illustrate the capabilities and advantages of the present model.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76V05
Mathematics Subject Classification ID: 86A10
Mathematics Subject Classification ID: 65M70
zbMATH DE Number: 651879
zbMATH Keywords: quadratic nonlinearities
zbMATH Keywords: implicit time stepping
zbMATH Keywords: hydrodynamic equations
MaRDI profile type: Publication
full work available at URL: jcph.1994.1128
OpenAlex ID: W2038857549
DOI: 10.1006/JCPH.1994.1128
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description: scientific article; zbMATH DE number 651879