A Local Adaptive Mesh Refinement for JFO Cavitation Model on Cartesian Meshes

Nonuniform mesh is beneficial to reduce computational cost and improve the resolution of the interest area. In the paper, a cell-based adaptive mesh refinement (AMR) method was developed for bearing cavitation simulation. The bearing mesh can be optimized by local refinement and coarsening, allowing...

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Autores principales:	Wanjun Xu, Kang Li, Zhengyang Geng, Mingjie Zhang, Jiangang Yang
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	cavitation AMR Elrod algorithm Richardson extrapolation method Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
Acceso en línea:	https://doaj.org/article/81bc95629c4f471aa74afd8117e1591d
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id	oai:doaj.org-article:81bc95629c4f471aa74afd8117e1591d
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spelling	oai:doaj.org-article:81bc95629c4f471aa74afd8117e1591d2021-11-11T14:59:40ZA Local Adaptive Mesh Refinement for JFO Cavitation Model on Cartesian Meshes10.3390/app112198792076-3417https://doaj.org/article/81bc95629c4f471aa74afd8117e1591d2021-10-01T00:00:00Zhttps://www.mdpi.com/2076-3417/11/21/9879https://doaj.org/toc/2076-3417Nonuniform mesh is beneficial to reduce computational cost and improve the resolution of the interest area. In the paper, a cell-based adaptive mesh refinement (AMR) method was developed for bearing cavitation simulation. The bearing mesh can be optimized by local refinement and coarsening, allowing for a reasonable solution with special purpose. The AMR algorithm was constructed based on a quadtree data structure with a Z-order filling curve managing cells. The hybrids of interpolation schemes on hanging nodes were applied. A cell matching method was used to handle periodic boundary conditions. The difference schemes at the nonuniform mesh for the universal Reynolds equation were derived. Ausas’ cavitation algorithm was integrated into the AMR algorithm. The Richardson extrapolation method was employed as an a posteriori error estimation to guide the areas where they need to be refined. The cases of a journal bearing and a thrust bearing were studied. The results showed that the AMR method provided nearly the same accuracy results compared with the uniform mesh, while the number of mesh was reduced to 50–60% of the number of the uniform mesh. The computational efficiency was effectively improved. The AMR method is suggested to be a potential tool for bearing cavitation simulation.Wanjun XuKang LiZhengyang GengMingjie ZhangJiangang YangMDPI AGarticlecavitationAMRElrod algorithmRichardson extrapolation methodTechnologyTEngineering (General). Civil engineering (General)TA1-2040Biology (General)QH301-705.5PhysicsQC1-999ChemistryQD1-999ENApplied Sciences, Vol 11, Iss 9879, p 9879 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	cavitation AMR Elrod algorithm Richardson extrapolation method Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
spellingShingle	cavitation AMR Elrod algorithm Richardson extrapolation method Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999 Wanjun Xu Kang Li Zhengyang Geng Mingjie Zhang Jiangang Yang A Local Adaptive Mesh Refinement for JFO Cavitation Model on Cartesian Meshes
description	Nonuniform mesh is beneficial to reduce computational cost and improve the resolution of the interest area. In the paper, a cell-based adaptive mesh refinement (AMR) method was developed for bearing cavitation simulation. The bearing mesh can be optimized by local refinement and coarsening, allowing for a reasonable solution with special purpose. The AMR algorithm was constructed based on a quadtree data structure with a Z-order filling curve managing cells. The hybrids of interpolation schemes on hanging nodes were applied. A cell matching method was used to handle periodic boundary conditions. The difference schemes at the nonuniform mesh for the universal Reynolds equation were derived. Ausas’ cavitation algorithm was integrated into the AMR algorithm. The Richardson extrapolation method was employed as an a posteriori error estimation to guide the areas where they need to be refined. The cases of a journal bearing and a thrust bearing were studied. The results showed that the AMR method provided nearly the same accuracy results compared with the uniform mesh, while the number of mesh was reduced to 50–60% of the number of the uniform mesh. The computational efficiency was effectively improved. The AMR method is suggested to be a potential tool for bearing cavitation simulation.
format	article
author	Wanjun Xu Kang Li Zhengyang Geng Mingjie Zhang Jiangang Yang
author_facet	Wanjun Xu Kang Li Zhengyang Geng Mingjie Zhang Jiangang Yang
author_sort	Wanjun Xu
title	A Local Adaptive Mesh Refinement for JFO Cavitation Model on Cartesian Meshes
title_short	A Local Adaptive Mesh Refinement for JFO Cavitation Model on Cartesian Meshes
title_full	A Local Adaptive Mesh Refinement for JFO Cavitation Model on Cartesian Meshes
title_fullStr	A Local Adaptive Mesh Refinement for JFO Cavitation Model on Cartesian Meshes
title_full_unstemmed	A Local Adaptive Mesh Refinement for JFO Cavitation Model on Cartesian Meshes
title_sort	local adaptive mesh refinement for jfo cavitation model on cartesian meshes
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/81bc95629c4f471aa74afd8117e1591d
work_keys_str_mv	AT wanjunxu alocaladaptivemeshrefinementforjfocavitationmodeloncartesianmeshes AT kangli alocaladaptivemeshrefinementforjfocavitationmodeloncartesianmeshes AT zhengyanggeng alocaladaptivemeshrefinementforjfocavitationmodeloncartesianmeshes AT mingjiezhang alocaladaptivemeshrefinementforjfocavitationmodeloncartesianmeshes AT jiangangyang alocaladaptivemeshrefinementforjfocavitationmodeloncartesianmeshes AT wanjunxu localadaptivemeshrefinementforjfocavitationmodeloncartesianmeshes AT kangli localadaptivemeshrefinementforjfocavitationmodeloncartesianmeshes AT zhengyanggeng localadaptivemeshrefinementforjfocavitationmodeloncartesianmeshes AT mingjiezhang localadaptivemeshrefinementforjfocavitationmodeloncartesianmeshes AT jiangangyang localadaptivemeshrefinementforjfocavitationmodeloncartesianmeshes
_version_	1718437903552479232

A Local Adaptive Mesh Refinement for JFO Cavitation Model on Cartesian Meshes

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