Journal
COMMUNICATIONS IN COMPUTATIONAL PHYSICS
Volume 8, Issue 3, Pages 585-609Publisher
GLOBAL SCIENCE PRESS
DOI: 10.4208/cicp.040909.080110a
Keywords
WENO; unstructured; mixed-element; triangular; quadrilateral; finite volume
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The paper extends weighted essentially non-oscillatory (WENO) schemes to two-dimensional quadrilateral and mixed-element unstructured meshes. The key element of the proposed methods is a reconstruction procedure suitable for arbitrarily-shaped cells. The resulting schemes achieve the designed uniformly high-order of accuracy and compute discontinuous solutions without spurious oscillations at interfaces between cells of two different types.
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