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...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.展开更多
文摘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.