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 - <p style="text-align: justify;">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.</p>