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

By Panagiotis Tsoutsanis, Vladimir A. Titarev and Dimitris Drikakis


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

Topics: WENO, Unstructured, Tetrahedral, Hexahedral, Prismatic, Pyramidal, Mixed-element, Three space dimensions, Very high order, Euler
Publisher: Elsevier
Year: 2010
DOI identifier: 10.1016/
OAI identifier:
Provided by: Cranfield CERES

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