WENO schemes on arbitrary mixed-element unstructured meshes in three space dimensions

Authors:
P. Tsoutsanis;V. A. Titarev;D. Drikakis
Affiliations:
Department of Fluid Mechanics and Computational Science, Cranfield University, Cranfield MK43 0AL, UK;Department of Fluid Mechanics and Computational Science, Cranfield University, Cranfield MK43 0AL, UK;Department of Fluid Mechanics and Computational Science, Cranfield University, Cranfield MK43 0AL, UK
Venue:
Journal of Computational Physics
Year:
2011

Citing 12
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Abstract

The paper extends weighted essentially non-oscillatory (WENO) methods to three dimensional mixed-element unstructured meshes, comprising tetrahedral, hexahedral, prismatic and pyramidal elements. Numerical results illustrate the convergence rates and non-oscillatory properties of the schemes for various smooth and discontinuous solutions test cases and the compressible Euler equations on various types of grids. Schemes of up to fifth order of spatial accuracy are considered.