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On conservative finite element formulations of the inviscid Boussinesq equations

โœ Scribed by K. A. Cliffe

Publisher
John Wiley and Sons
Year
1981
Tongue
English
Weight
454 KB
Volume
1
Category
Article
ISSN
0271-2091

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โœฆ Synopsis

Abstract

The finite element discretization of the inviscid Boussinesq equations is studied with particular emphasis on the conservation properties of the discrete equations. Methods which conserve the total energy, total temperature and total temperature squared, or two of the above mentioned quantities, are presented. The effect of time discretization, and other numerical errors, on the conservation laws is considered. Finally, the theory is supported and illustrated by several numerical experiments.

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