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Vorticity-preserving schemes for the compressible Euler equations

✍ Scribed by A. Lerat; F. Falissard; J. Sidès

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
421 KB
Volume
225
Category
Article
ISSN
0021-9991

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✦ Synopsis

The concept of vorticity-preserving scheme introduced by Morton and Roe is considered for the system wave equation and extended to the linearised and full compressible Euler equations. Useful criteria are found for a general dissipative conservative scheme to be vorticity preserving. Using them, a residual-based scheme is shown to be vorticity preserving for the Euler equations, which is confirmed by vortex flow calculations.

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Numerical Experiments with the Multiresolution Scheme for the Compressible Euler Equations
✍ Björn Sjögreen 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 451 KB

We investigate the performance of the multiresolution method. The method was recently proposed as a way to speed up computations of compressible flows. The method is based on truncating wavelet coefficients. The method showed good performance on one-dimensional test problems. We implement the method