Year: 2018
Author: Yidao Dong, Xiaogang Deng, Yaming Chen, Xu Dan, Guangxue Wang
Advances in Applied Mathematics and Mechanics, Vol. 10 (2018), Iss. 3 : pp. 611–633
Abstract
A new high-order conservative patched grid strategy is developed with the concept of collapsed edge. Different from the traditional patched grid algorithm, where the patched interface is a line in two-dimensional space, the new strategy employs a transition region, where a collapsed edge is located within to form four point matched blocks. The introduction of the collapsed edge ensures that the grid generation of neighbouring blocks connected by the transition region is independent. The biggest advantage of this new strategy is that conservation is satisfied automatically since the numerical flux at the collapsed edge is zero. Furthermore, when applied in the framework of high-order finite difference methods based on the coordinate transformation, no essential modifications are needed. Some typical numerical examples are simulated with the new patched grid strategy combined with the fifth-order Weighted Compact Nonlinear Schemes (WCNS) to verify the capability of this new method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2017-0163
Advances in Applied Mathematics and Mechanics, Vol. 10 (2018), Iss. 3 : pp. 611–633
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: Patched grid high-order conservative collapsed-edge WCNS.