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Least-squares spectral element method applied to the Euler equations

✍ Scribed by Marc Gerritsma; Rokus van der Bas; Bart De Maerschalck; Barry Koren; Herman Deconinck


Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
551 KB
Volume
57
Category
Article
ISSN
0271-2091

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Least-Squares Spectral Elements Applied
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An adaptive least-squares finite element method is used to solve the compressible Euler equations in two dimensions. Since the method is naturally diffusive, no explicit artificial viscosity is added to the formulation. The inherent artificial viscosity, however, is usually large and hence does not

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In this article we consiruct a class of functions on a bounded irregular region Rc RZ which are of compact support, smooth and locally polynomials. The basic tool is the use of ordinary B-splines associated with the square containing Cl. This construction is then used for approximating the solution