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

Luciano Gonc¸alves 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 criteria 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.

  • Keywords

Moving boundaries mesh motion strategy finite element projection methods

  • AMS Subject Headings

76M10 65M50 35R37

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-5-194, author = {Luciano Gonc¸alves Noleto, Manuel N. D. Barcelos Jr. and Antonio C. P. Brasil Jr.}, 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 criteria 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 - Luciano Gonc¸alves Noleto, Manuel N. D. Barcelos Jr. & Antonio C. P. Brasil Jr. JO - Advances in Applied Mathematics and Mechanics VL - 2 SP - 194 EP - 211 PY - 2013 DA - 2013/05 SN - 5 DO - http://dor.org/10.4208/aamm.11-m1186 UR - https://global-sci.org/intro/aamm/65.html KW - Moving boundaries KW - mesh motion strategy KW - 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 criteria 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 Gonc¸alves 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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