Altering Connectivity with Large Deformation Mesh for Lagrangian Method and Its Application in Multiple Material Simulation
Year: 2016
Author: Ruili Wang, Xiao Liang, Zhong Lin
Annals of Applied Mathematics, Vol. 32 (2016), Iss. 3 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2016-AAM-20645
Annals of Applied Mathematics, Vol. 32 (2016), Iss. 3 : pp. 296–310
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Lagrangian scheme large deformations altering connectivity of mesh finite volume method