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Monoslope and multislope MUSCL methods for unstructured meshes by Thierry Buffard; Stéphane Clain is a Engineering article available to read on EtoBox.

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We present new MUSCL techniques associated with cell-centered finite volume method on triangular meshes. The first reconstruction consists in calculating one vectorial slope per control volume by a minimization procedure with respect to a prescribed stability condition. The second technique we propose is based on the computation of three scalar slopes per triangle (one per edge) still respecting some stability condition. The resulting algorithm provides a very simple scheme which is extensible to higher dimensional problems. Numerical approximations have been performed to obtain the convergence order for the advection scalar problem whereas we treat a nonlinear vectorial example, namely the Euler system, to show the capacity of the new MUSCL technique to deal with more complex situations.

Who reads Monoslope and multislope MUSCL methods for unstructured meshes?

Author

Thierry Buffard; Stéphane Clain

Publisher

Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV; Test accounts (ISSN 0021-9991)

Published

2010

Language

EN

Field

Engineering (Physical Sciences)