A space-time discontinuous Galerkin finite-element discretization of the Euler equations using entropy variables

Conference paper (2006)

Authors

L. Pesch

J.J.W. Van der Vegt

Discontinuous Galerkin Euler equations Equation of state Compressible/incompressible fluids Entropy variables

More Info

expand_more

To reference this document use:

http://resolver.tudelft.nl/uuid:d6d67859-a38a-4661-88e3-34314ab328f0

Published Date

05-09-2006

Reuse Rights

Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.

Abstract

A method to numerically solve the Euler equations for fluids with general equations of state is presented. It is based on a formulation solving the conservation equations for either pressure primitive variables or entropy variables, instead of the commonly used conservation variables. We use a space-time discontinuous Galerkin finite-element discretization, which yields a highly local, potentially higher-order scheme. The algorithm is applied to test cases for compressible fluids to demonstrate its capabilities and the performance of the different variable sets.

Files

Pesch.pdf

(pdf | 0.19 Mb)