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Volume 5, Issue 2
A Pseudo-Stokes Mesh Motion Algorithm

Luciano Gonçalves Noleto, Manuel N. D. Barcelos Jr. & Antonio C. P. Brasil Jr.

Adv. Appl. Math. Mech., 5 (2013), pp. 194-211.

Published online: 2013-05

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  • Abstract

This work presents a moving mesh methodology based on the solution of a pseudo flow problem. The mesh motion is modeled as a pseudo Stokes problem solved by an explicit finite element projection method. The mesh quality requirements are satisfied by employing a null divergent velocity condition. This methodology is applied to triangular unstructured meshes and compared to well known approaches such as the ones based on diffusion and pseudo structural problems. One of the test cases is an airfoil with a fully meshed domain. A specific rotation velocity is imposed as the airfoil boundary condition. The other test is a set of two cylinders that move toward each other. A mesh quality criterion is employed to identify critically distorted elements and to evaluate the performance of each mesh motion approach. The results obtained for each test case show that the pseudo-flow methodology produces satisfactory meshes during the moving process.

  • AMS Subject Headings

76M10, 65M50, 35R37

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COPYRIGHT: © Global Science Press

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@Article{AAMM-5-194, author = {Gonçalves Noleto , LucianoN. D. Barcelos Jr. , Manuel and C. P. Brasil Jr. , Antonio}, title = {A Pseudo-Stokes Mesh Motion Algorithm}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2013}, volume = {5}, number = {2}, pages = {194--211}, abstract = {

This work presents a moving mesh methodology based on the solution of a pseudo flow problem. The mesh motion is modeled as a pseudo Stokes problem solved by an explicit finite element projection method. The mesh quality requirements are satisfied by employing a null divergent velocity condition. This methodology is applied to triangular unstructured meshes and compared to well known approaches such as the ones based on diffusion and pseudo structural problems. One of the test cases is an airfoil with a fully meshed domain. A specific rotation velocity is imposed as the airfoil boundary condition. The other test is a set of two cylinders that move toward each other. A mesh quality criterion is employed to identify critically distorted elements and to evaluate the performance of each mesh motion approach. The results obtained for each test case show that the pseudo-flow methodology produces satisfactory meshes during the moving process.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.11-m1186}, url = {http://global-sci.org/intro/article_detail/aamm/65.html} }
TY - JOUR T1 - A Pseudo-Stokes Mesh Motion Algorithm AU - Gonçalves Noleto , Luciano AU - N. D. Barcelos Jr. , Manuel AU - C. P. Brasil Jr. , Antonio JO - Advances in Applied Mathematics and Mechanics VL - 2 SP - 194 EP - 211 PY - 2013 DA - 2013/05 SN - 5 DO - http://doi.org/10.4208/aamm.11-m1186 UR - https://global-sci.org/intro/article_detail/aamm/65.html KW - Moving boundaries, mesh motion strategy, finite element projection methods. AB -

This work presents a moving mesh methodology based on the solution of a pseudo flow problem. The mesh motion is modeled as a pseudo Stokes problem solved by an explicit finite element projection method. The mesh quality requirements are satisfied by employing a null divergent velocity condition. This methodology is applied to triangular unstructured meshes and compared to well known approaches such as the ones based on diffusion and pseudo structural problems. One of the test cases is an airfoil with a fully meshed domain. A specific rotation velocity is imposed as the airfoil boundary condition. The other test is a set of two cylinders that move toward each other. A mesh quality criterion is employed to identify critically distorted elements and to evaluate the performance of each mesh motion approach. The results obtained for each test case show that the pseudo-flow methodology produces satisfactory meshes during the moving process.

Luciano Gonçalves Noleto, Manuel N. D. Barcelos Jr. & Antonio C. P. Brasil Jr.. (1970). A Pseudo-Stokes Mesh Motion Algorithm. Advances in Applied Mathematics and Mechanics. 5 (2). 194-211. doi:10.4208/aamm.11-m1186
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