Year: 2017
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 3 : pp. 742–756
Abstract
In this paper, we use moving mesh finite element method based upon $4P_1− P_1$ element to solve the time-dependent Navier-Stokes equations in 2D. Two-layer nested meshes are used including velocity mesh and pressure mesh, and velocity mesh can be obtained by globally refining pressure mesh. We use hierarchy geometry tree to store the nested meshes. This data structure provides convenience for adaptive mesh method and the construction of multigrid preconditioning. Several numerical problems are used to show the effect of moving mesh.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2016.m1457
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 3 : pp. 742–756
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Navier-Stokes system $4P_1−P_1$ hierarchy geometry tree moving mesh method.