Volume 9, Issue 1
Quadrilateral Cell-based Anisotropic Adaptive Solution for the Euler Equations

H. W. Zheng, N. Qin, F. C. G. A. Nicolleau & C. Shu

Commun. Comput. Phys., 9 (2011), pp. 68-88.

Published online: 2011-09

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  • Abstract

An anisotropic solution adaptive method based on unstructured quadrilateral meshes for inviscid compressible flows is proposed. The data structure, the directional refinement and coarsening, including the method for initializing the refined new cells, for the anisotropic adaptive method are described. It provides efficient high resolution of flow features, which are aligned with the original quadrilateral mesh structures. Five different cases are provided to show that it could be used to resolve the anisotropic flow features and be applied to model the complex geometry as well as to keep a relative high order of accuracy on an efficient anisotropic mesh.

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@Article{CiCP-9-68, author = {H. W. Zheng, N. Qin, F. C. G. A. Nicolleau and C. Shu}, title = {Quadrilateral Cell-based Anisotropic Adaptive Solution for the Euler Equations}, journal = {Communications in Computational Physics}, year = {2011}, volume = {9}, number = {1}, pages = {68--88}, abstract = {

An anisotropic solution adaptive method based on unstructured quadrilateral meshes for inviscid compressible flows is proposed. The data structure, the directional refinement and coarsening, including the method for initializing the refined new cells, for the anisotropic adaptive method are described. It provides efficient high resolution of flow features, which are aligned with the original quadrilateral mesh structures. Five different cases are provided to show that it could be used to resolve the anisotropic flow features and be applied to model the complex geometry as well as to keep a relative high order of accuracy on an efficient anisotropic mesh.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.101009.120210a}, url = {http://global-sci.org/intro/article_detail/cicp/7491.html} }
TY - JOUR T1 - Quadrilateral Cell-based Anisotropic Adaptive Solution for the Euler Equations AU - H. W. Zheng, N. Qin, F. C. G. A. Nicolleau & C. Shu JO - Communications in Computational Physics VL - 1 SP - 68 EP - 88 PY - 2011 DA - 2011/09 SN - 9 DO - http://dor.org/10.4208/cicp.101009.120210a UR - https://global-sci.org/intro/cicp/7491.html KW - AB -

An anisotropic solution adaptive method based on unstructured quadrilateral meshes for inviscid compressible flows is proposed. The data structure, the directional refinement and coarsening, including the method for initializing the refined new cells, for the anisotropic adaptive method are described. It provides efficient high resolution of flow features, which are aligned with the original quadrilateral mesh structures. Five different cases are provided to show that it could be used to resolve the anisotropic flow features and be applied to model the complex geometry as well as to keep a relative high order of accuracy on an efficient anisotropic mesh.

H. W. Zheng, N. Qin, F. C. G. A. Nicolleau & C. Shu. (1970). Quadrilateral Cell-based Anisotropic Adaptive Solution for the Euler Equations. Communications in Computational Physics. 9 (1). 68-88. doi:10.4208/cicp.101009.120210a
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