An AMG Preconditioner for Solving the Navier-Stokes Equations with a Moving Mesh Finite Element Method
Year: 2016
East Asian Journal on Applied Mathematics, Vol. 6 (2016), Iss. 4 : pp. 353–366
Abstract
AMG preconditioners are typically designed for partial differential equation solvers and divergence-interpolation in a moving mesh strategy. Here we introduce an AMG preconditioner to solve the unsteady Navier-Stokes equations by a moving mesh finite element method. A $4P1$ − $P1$ element pair is selected based on the data structure of the hierarchy geometry tree and two-layer nested meshes in the velocity and pressure. Numerical experiments show the efficiency of our approach.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.080416.240516a
East Asian Journal on Applied Mathematics, Vol. 6 (2016), Iss. 4 : pp. 353–366
Published online: 2016-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Navier-Stokes system algebraic multigrid precondition moving mesh.