Volume 11, Issue 4
Adaptive Cloud Refinement (ACR) - Adaptation in Meshless Framework

M. Somasekhar, S. Vivek, Keshav. S. Malagi, V. Ramesh & S. M. Deshpande

Commun. Comput. Phys., 11 (2012), pp. 1372-1385.

Published online: 2012-04

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  • Abstract

In the present work adaptation in meshless framework is proposed. The grid adaptation or mesh adaptation is quite well developed area in case of conventional gridbasedsolvers andis popularly knownasAdaptivemeshrefinement(AMR). In suchcases the adaptationis done by subdividing the cells or elements into finer cells or elements. Incaseofmeshless methods therearenocells orelements butonly acloud of points. In this work we propose to achieve the meshless adaptation by locally refining the point density in the regions demanding higher resolution. This results into an adaptive enriched cloud of points. We call this method as Adaptive Cloud Refinement (ACR). The meshless solvers need connectivity information, which is a set of neighboring nodes. It is crucial part of meshless solvers. Obviously because of refining point density, the connectivity of nodes in such regions gets modified and hence has to be updated. An efficient connectivity update must exploit the fact that the node distribution would be largely unaffected except the region of adaptation. Hence connectivity updating needs to be done locally, only in these regions. In this paper we also present an extremely fast algorithm to update connectivity over adapted cloud called as ACU (Automatic Connectivity Update).


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@Article{CiCP-11-1372, author = {M. Somasekhar, S. Vivek, Keshav. S. Malagi, V. Ramesh and S. M. Deshpande}, title = {Adaptive Cloud Refinement (ACR) - Adaptation in Meshless Framework}, journal = {Communications in Computational Physics}, year = {2012}, volume = {11}, number = {4}, pages = {1372--1385}, abstract = {

In the present work adaptation in meshless framework is proposed. The grid adaptation or mesh adaptation is quite well developed area in case of conventional gridbasedsolvers andis popularly knownasAdaptivemeshrefinement(AMR). In suchcases the adaptationis done by subdividing the cells or elements into finer cells or elements. Incaseofmeshless methods therearenocells orelements butonly acloud of points. In this work we propose to achieve the meshless adaptation by locally refining the point density in the regions demanding higher resolution. This results into an adaptive enriched cloud of points. We call this method as Adaptive Cloud Refinement (ACR). The meshless solvers need connectivity information, which is a set of neighboring nodes. It is crucial part of meshless solvers. Obviously because of refining point density, the connectivity of nodes in such regions gets modified and hence has to be updated. An efficient connectivity update must exploit the fact that the node distribution would be largely unaffected except the region of adaptation. Hence connectivity updating needs to be done locally, only in these regions. In this paper we also present an extremely fast algorithm to update connectivity over adapted cloud called as ACU (Automatic Connectivity Update).


}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.130510.150511s}, url = {http://global-sci.org/intro/article_detail/cicp/7417.html} }
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