High-order ADER-WENO ALE schemes on unstructured triangular meshes-application of several node solvers to hydrodynamics and magnetohydrodynamics
نویسندگان
چکیده
منابع مشابه
High Order Fluctuation Schemes on Triangular Meshes
We develop a new class of schemes for the numerical solution of first-order steady conservation laws. The schemes are of the residual distribution, or fluctuation-splitting type. These schemes have mostly been developed in the context of triangular or tetrahedral elements whose degrees of freedom are their nodal values. We work here with more general elements that allow high-order accuracy. We ...
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ADER schemes are recent finite volume methods for hyperbolic conservation laws, which can be viewed as generalizations of the classical first order Godunov method to arbitrary high orders. In the ADER approach, high order polynomial reconstruction from cell averages is combined with high order flux evaluation, where the latter is done by solving generalized Riemann problems across cell interfac...
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Article history: Received 1 November 2012 Received in revised form 16 July 2013 Accepted 23 July 2013 Available online 2 August 2013
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We derive Godunov-type semidiscrete central schemes for Hamilton–Jacobi equations on triangular meshes. High-order schemes are then obtained by combining our new numerical fluxes with high-order WENO reconstructions on triangular meshes. The numerical fluxes are shown to be monotone in certain cases. The accuracy and high-resolution properties of our scheme are demonstrated in a variety of nume...
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ژورنال
عنوان ژورنال: International Journal for Numerical Methods in Fluids
سال: 2014
ISSN: 0271-2091
DOI: 10.1002/fld.3947