EBR-WENO scheme for solving gas dynamics problems with discontinuities on unstructured meshes

•A new EBR-WENO scheme for problems with discontinuities on unstructured meshes is proposed.•Combining edge-based approach with WENO monotonization technique.•The new scheme reduces to the classical finite-difference WENO method on uniform grid-like meshes.•Lower costs thanks to the quasi-1D reconst...

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Bibliographic Details
Published in:Computers & fluids 2017-11, Vol.157, p.312-324
Main Authors: Bakhvalov, Pavel, Kozubskaya, Tatiana
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Discontinuous solution
Euler equations
Euler-Lagrange equation
Eulers equations
Finite difference method
Gas dynamics
Gases
Reconstruction
Unstructured mesh
Variables
Vertex-centered scheme
WENO scheme
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Summary:•A new EBR-WENO scheme for problems with discontinuities on unstructured meshes is proposed.•Combining edge-based approach with WENO monotonization technique.•The new scheme reduces to the classical finite-difference WENO method on uniform grid-like meshes.•Lower costs thanks to the quasi-1D reconstructions. We develop the Edge-Based Reconstruction 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 combination 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.
ISSN:0045-7930
1879-0747
DOI:10.1016/j.compfluid.2017.09.004