Block-based Adaptive Mesh Refinement Finite-volume Scheme for Hybrid Multi-block Meshes
A block-based adaptive mesh refinement (AMR) finite-volume scheme is developed for solution of hyperbolic conservation laws on two-dimensional hybrid multi-block meshes. A Godunov-type upwind finite-volume spatial-discretization scheme, with piecewise limited linear reconstruction and Riemann-solver...
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ndltd-LACETR-oai-collectionscanada.gc.ca-OTU.1807-336232013-04-20T05:22:49ZBlock-based Adaptive Mesh Refinement Finite-volume Scheme for Hybrid Multi-block MeshesZheng, Zheng Xiongupwind finite-volume methodsadaptive mesh refinement (AMR)block-based hybrid meshdomain decomposition0538A block-based adaptive mesh refinement (AMR) finite-volume scheme is developed for solution of hyperbolic conservation laws on two-dimensional hybrid multi-block meshes. A Godunov-type upwind finite-volume spatial-discretization scheme, with piecewise limited linear reconstruction and Riemann-solver based flux functions, is applied to the quadrilateral cells of a hybrid multi-block mesh and these computational cells are embedded in either body-fitted structured or general unstructured grid partitions of the hybrid grid. A hierarchical quadtree data structure is used to allow local refinement of the individual subdomains based on heuristic physics-based refinement criteria. An efficient and scalable parallel implementation of the proposed algorithm is achieved via domain decomposition. The performance of the proposed scheme is demonstrated through application to solution of the compressible Euler equations for a number of flow configurations and regimes in two space dimensions. The efficiency of the AMR procedure and accuracy, robustness, and scalability of the hybrid mesh scheme are assessed.Groth, Clinton P. T.2012-112012-11-27T20:51:19ZNO_RESTRICTION2012-11-27T20:51:19Z2012-11-27Thesishttp://hdl.handle.net/1807/33623en_ca |
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en_ca |
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topic |
upwind finite-volume methods adaptive mesh refinement (AMR) block-based hybrid mesh domain decomposition 0538 |
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upwind finite-volume methods adaptive mesh refinement (AMR) block-based hybrid mesh domain decomposition 0538 Zheng, Zheng Xiong Block-based Adaptive Mesh Refinement Finite-volume Scheme for Hybrid Multi-block Meshes |
description |
A block-based adaptive mesh refinement (AMR) finite-volume scheme is developed for solution of hyperbolic conservation laws on two-dimensional hybrid multi-block meshes. A Godunov-type upwind finite-volume spatial-discretization scheme, with piecewise limited linear reconstruction and Riemann-solver based flux functions, is applied to the quadrilateral cells of a hybrid multi-block mesh and these computational cells are embedded in either body-fitted structured or general unstructured grid partitions of the hybrid grid. A hierarchical quadtree data structure is used to allow local refinement of the individual subdomains based on heuristic physics-based refinement criteria. An efficient and scalable parallel implementation of the proposed algorithm is achieved via domain decomposition. The performance of the proposed scheme is demonstrated through application to solution of the compressible Euler equations for a number of flow configurations and regimes in two space dimensions. The efficiency of the AMR procedure and accuracy, robustness, and scalability of the hybrid mesh scheme are assessed. |
author2 |
Groth, Clinton P. T. |
author_facet |
Groth, Clinton P. T. Zheng, Zheng Xiong |
author |
Zheng, Zheng Xiong |
author_sort |
Zheng, Zheng Xiong |
title |
Block-based Adaptive Mesh Refinement Finite-volume Scheme for Hybrid Multi-block Meshes |
title_short |
Block-based Adaptive Mesh Refinement Finite-volume Scheme for Hybrid Multi-block Meshes |
title_full |
Block-based Adaptive Mesh Refinement Finite-volume Scheme for Hybrid Multi-block Meshes |
title_fullStr |
Block-based Adaptive Mesh Refinement Finite-volume Scheme for Hybrid Multi-block Meshes |
title_full_unstemmed |
Block-based Adaptive Mesh Refinement Finite-volume Scheme for Hybrid Multi-block Meshes |
title_sort |
block-based adaptive mesh refinement finite-volume scheme for hybrid multi-block meshes |
publishDate |
2012 |
url |
http://hdl.handle.net/1807/33623 |
work_keys_str_mv |
AT zhengzhengxiong blockbasedadaptivemeshrefinementfinitevolumeschemeforhybridmultiblockmeshes |
_version_ |
1716583760952033280 |