Volume 8, Issue 3
WENO Schemes for Mixed-element Unstructured Meshes

V. A. Titarev and P. Tsoutsanis & D. Drikakis

10.4208/cicp.040909.080110a

Commun. Comput. Phys., 8 (2010), pp. 585-609.

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  • Abstract

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 arbitrarilyshaped 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.

  • History

Published online: 2010-08

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