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

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

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

Published online: 2010-08

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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 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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@Article{CiCP-8-585, author = {}, title = {WENO Schemes for Mixed-Element Unstructured Meshes}, journal = {Communications in Computational Physics}, year = {2010}, volume = {8}, number = {3}, pages = {585--609}, 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 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.040909.080110a}, url = {http://global-sci.org/intro/article_detail/cicp/7586.html} }
TY - JOUR T1 - WENO Schemes for Mixed-Element Unstructured Meshes JO - Communications in Computational Physics VL - 3 SP - 585 EP - 609 PY - 2010 DA - 2010/08 SN - 8 DO - http://doi.org/10.4208/cicp.040909.080110a UR - https://global-sci.org/intro/article_detail/cicp/7586.html KW - AB -

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.

V. A. Titarev, P. Tsoutsanis & D. Drikakis. (2020). WENO Schemes for Mixed-Element Unstructured Meshes. Communications in Computational Physics. 8 (3). 585-609. doi:10.4208/cicp.040909.080110a
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