WENO Schemes for Mixed-Element Unstructured Meshes
V. A. Titarev 1*, P. Tsoutsanis 1, D. Drikakis 11 Fluid Mechanics and Computational Sciences Group, Aerospace Sciences Department, Cranfield University, Cranfield, MK43 0AL, UK.
Received 4 September 2009; Accepted (in revised version) 8 January 2010
Available online 15 April 2010
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.AMS subject classifications: 65M08, 76-04, 76N99
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Key words: WENO, unstructured, mixed-element, triangular, quadrilateral, finite volume.
Email: email@example.com, firstname.lastname@example.org (V. A. Titarev), email@example.com (P. Tsoutsanis), firstname.lastname@example.org (D. Drikakis)