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.