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Finite volume schemes for multidimensional hyperbolic systems based on the use of bicharacteristics
Citation Link: https://doi.org/10.15480/882.135
Publikationstyp
Preprint
Date Issued
2003-03
Sprache
English
Author(s)
Institut
TORE-DOI
In this survey paper we present an overview on recent results for the bicharacteristics based finite volume schemes, the so-called finite volume evolution Galerkin (FVEG) schemes. These methods were proposed to solve multidimensional hyperbolic conservation laws. They combine the usually conflicting design objectives of using the conservation form and following the characteritics, or bicharacteritics. This is realized by combining the finite volume formulation with approximate evolution operators, which use bicharacteristics of multidimensional hyperbolic system. In this way all of the infinitely many directions of wave propagation are taken into account. The main goal of this paper is to study long-time behaviour of the FVEG schemes. We present several numerical experiments which con¯rm the fact that the FVEG methods are well-suited for long-time simulations
Subjects
multidimensional finite volume methods
Bicharacteristics
Hyperbolic systems
Wave equation
Euler equations
DDC Class
510: Mathematik