Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 230, Issue 4, Pages 1585-1601Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2010.11.023
Keywords
WENO; Unstructured; Tetrahedral; Hexahedral; Prismatic; Pyramidal; Mixed-element; Three space dimensions; Very high order; Euler
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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. (C) 2010 Elsevier Inc. All rights reserved.
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