Monoslope and multislope MUSCL methods for unstructured meshes
نویسندگان
چکیده
منابع مشابه
Monoslope and multislope MUSCL methods for unstructured meshes
We present new MUSCL techniques associated with cell-centered Finite Volume method on triangular meshes. The first reconstruction consists in calculating a 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 edges) still respec...
متن کاملMultislope MUSCL method for general unstructured meshes
The multislope concept has been recently introduced in the literature to deal with MUSCL reconstructions on triangular and tetrahedral unstructured meshes in the finite volume cell-centered context. Dedicated scalar slopes are used to compute the interpolations on each face of a given element, in opposition to the monoslope methods in which a unique limited gradient is used. The multislope appr...
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A nite volume method for the numerical solution of axisymmetric inviscid swirling ows is presented. The governing equations of the ow are the axisymmetric compressible Euler equations including swirl (or tangential) velocity. A rst-order scheme is introduced. In this one, convective uxes at cell interfaces are evaluated by the Rusanov or the HLLC numerical ux and geometric source terms are disc...
متن کاملA multislope MUSCL method on unstructured meshes applied to compressible Euler equations for swirling ows
A nite volume method for the numerical solution of axisymmetric inviscid swirling ows is presented. The governing equations of the ow are the axisymmetric compressible Euler equations including swirl (or tangential) velocity. A rst-order scheme is introduced. In this one, convective uxes at cell interfaces are evaluated by the Rusanov or the HLLC numerical ux and geometric source terms are disc...
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We consider second-order accuracy MUSCL schemes to approximate the solutions of hyperbolic system of conservation laws. In the context of the 2D unstructured grids, we propose a limitation procedure on the gradient reconstruction to enforce several stability properties. We establish that the MUSCL scheme preserves the invariant domains and satisfy a set of entropy inequalities. A conservation a...
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ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2010
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2010.01.026