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KIAM Preprint № 23, Moscow, 2017
Authors: Bakhvalov P. A., Kozubskaya T.K.
EBR-WENO scheme for solving gas dynamics problems with discontinuities on unstructured meshes
We develop EBR-WENO scheme for solving Euler equations on unstructured meshes. It belongs to the class of edge-based schemes with quasi-1D reconstruction of variables. The scheme monotonization is provided by using a convex conbination of three lower-order reconstructions of variables in a similar way as it is in the classical finite-difference WENO scheme. The new scheme damps oscillations near shocks on unstructured meshes and, due to its edge-based nature, requires rather low computational costs. The properties of the new scheme are demonstrated on several test problems.
Euler equations, discontinuous solution, edge-based scheme, unstructured mesh, WENO scheme
Publication language: russian,  страниц: 32
Research direction:
Mathematical problems and theory of numerical methods
Russian source text:
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