Volume 9, Issue 3
Moving Mesh Finite Element Method for Unsteady Navier-Stokes Flow

Yirong Wu & Heyu Wang

Adv. Appl. Math. Mech., 9 (2017), pp. 742-756.

Published online: 2018-05

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  • Abstract

In this paper, we use moving mesh finite element method based upon 4P1− P1 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 make convienence for adaptive mesh method and the construction of multigrid preconditioning. Several numerical problems are used to show the effect of moving mesh.

  • Keywords

Navier-Stokes system, 4P1−P1, hierarchy geometry tree, moving mesh method.

  • AMS Subject Headings

65M60

  • Copyright

COPYRIGHT: © Global Science Press

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