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Volume 32, Issue 3
Altering Connectivity with Large Deformation Mesh for Lagrangian Method and Its Application in Multiple Material Simulation

Ruili Wang, Xiao Liang & Zhong Lin

Ann. Appl. Math., 32 (2016), pp. 296-310.

Published online: 2022-06

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  • Abstract

A new approach for treating the mesh with Lagrangian scheme of finite volume method is presented. It has been proved that classical Lagrangian method is difficult to cope with large deformation in tracking material particles due to severe distortion of cells, and the changing connectivity of the mesh seems especially attractive for solving such issues. The mesh with large deformation based on computational geometry is optimized by using new method. This paper develops a processing system for arbitrary polygonal unstructured grid, the intelligent variable grid neighborhood technologies is utilized to improve the quality of mesh in calculation process, and arbitrary polygonal mesh is used in the Lagrangian finite volume scheme. The performance of the new method is demonstrated through series of numerical examples, and the simulation capability is efficiently presented in coping with the systems with large deformations.

  • Keywords

Lagrangian scheme, large deformations, altering connectivity of mesh, finite volume method,

  • AMS Subject Headings

74S10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAM-32-296, author = {Wang , RuiliLiang , Xiao and Lin , Zhong}, title = {Altering Connectivity with Large Deformation Mesh for Lagrangian Method and Its Application in Multiple Material Simulation}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {32}, number = {3}, pages = {296--310}, abstract = {

A new approach for treating the mesh with Lagrangian scheme of finite volume method is presented. It has been proved that classical Lagrangian method is difficult to cope with large deformation in tracking material particles due to severe distortion of cells, and the changing connectivity of the mesh seems especially attractive for solving such issues. The mesh with large deformation based on computational geometry is optimized by using new method. This paper develops a processing system for arbitrary polygonal unstructured grid, the intelligent variable grid neighborhood technologies is utilized to improve the quality of mesh in calculation process, and arbitrary polygonal mesh is used in the Lagrangian finite volume scheme. The performance of the new method is demonstrated through series of numerical examples, and the simulation capability is efficiently presented in coping with the systems with large deformations.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20645.html} }
TY - JOUR T1 - Altering Connectivity with Large Deformation Mesh for Lagrangian Method and Its Application in Multiple Material Simulation AU - Wang , Ruili AU - Liang , Xiao AU - Lin , Zhong JO - Annals of Applied Mathematics VL - 3 SP - 296 EP - 310 PY - 2022 DA - 2022/06 SN - 32 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/20645.html KW - Lagrangian scheme, large deformations, altering connectivity of mesh, finite volume method, AB -

A new approach for treating the mesh with Lagrangian scheme of finite volume method is presented. It has been proved that classical Lagrangian method is difficult to cope with large deformation in tracking material particles due to severe distortion of cells, and the changing connectivity of the mesh seems especially attractive for solving such issues. The mesh with large deformation based on computational geometry is optimized by using new method. This paper develops a processing system for arbitrary polygonal unstructured grid, the intelligent variable grid neighborhood technologies is utilized to improve the quality of mesh in calculation process, and arbitrary polygonal mesh is used in the Lagrangian finite volume scheme. The performance of the new method is demonstrated through series of numerical examples, and the simulation capability is efficiently presented in coping with the systems with large deformations.

Ruili Wang, Xiao Liang & Zhong Lin. (2022). Altering Connectivity with Large Deformation Mesh for Lagrangian Method and Its Application in Multiple Material Simulation. Annals of Applied Mathematics. 32 (3). 296-310. doi:
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