A dual graph-norm refinement indicator for finite volume approximations of the Euler equations |
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Authors: | Thomas Sonar Endre Süli |
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Institution: | Institut für Angewandte Mathematik, Universit?t Hamburg, Bundesstra?e 55, D-20146 Hamburg, Germany; e-mail: Thomas.Sonar@math.uni-hamburg.de, DE Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford OX1 3OD, UK; e-mail: Endre.Suli@comlab.oxford.ac.uk, GB
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Abstract: | Summary. We generalise and apply a refinement indicator of the type originally designed by Mackenzie, Süli and Warnecke in 15] and
16] for linear Friedrichs systems to the Euler equations of inviscid, compressible fluid flow. The Euler equations are symmetrized
by means of entropy variables and locally linearized about a constant state to obtain a symmetric hyperbolic system to which
an a posteriori error analysis of the type introduced in 15] can be applied. We discuss the details of the implementation of the refinement
indicator into the DLR--Code which is based on a finite volume method of box type on an unstructured grid and present numerical results.
Received May 15, 1995 / Revised version received April 17, 1996 |
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Keywords: | Mathematics Subject Classification (1991): 65M20 65M50 65M60 76M99 |
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