Repository: Freie Universit├Ąt Berlin, Math Department

An analytic solution for linear gravity waves in a channel as a test for numerical models using the non-hydrostatic, compressible Euler equations

Baldauf, M. and Brdar, S. (2013) An analytic solution for linear gravity waves in a channel as a test for numerical models using the non-hydrostatic, compressible Euler equations. Quarterly Journal of the Royal Meteorological Society .

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Official URL: http://onlinelibrary.wiley.com/doi/10.1002/qj.2105...

Abstract

A slightly modified version of the idealized test set-up used by Skamarock and Klemp is proposed: the quasi linear two-dimensional expansion of sound and gravity waves in a flat channel induced by a weak warm bubble. For this test case an exact analytic solution of the linearized compressible, non-hydrostatic Euler equations for a shallow atmosphere has been derived. This solution can be used as a benchmark to assess compressible, non-hydrostatic dynamical cores which are the basis for many of today's, and probably most of the future, atmospheric models. Comparisons and convergence studies of two quite differently designed numerical limited-area simulation models, COSMO and DUNE, against this analytic solution are performed.

Item Type:Article
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
ID Code:1219
Deposited By: Ulrike Eickers
Deposited On:15 Mar 2013 14:13
Last Modified:20 Mar 2013 12:04

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