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An AMG Preconditioner for Solving the Navier-Stokes Equations with a Moving Mesh Finite Element Method

Part of: Partial differential equations, initial value and time-dependent initial-boundary value problems

Published online by Cambridge University Press:  19 October 2016

Yirong Wu  and
Heyu Wang
Yirong Wu*
Affiliation:
School of Mathematical Science, ZheJiang University, HangZhou, 310027, China
Heyu Wang*
Affiliation:
School of Mathematical Science, ZheJiang University, HangZhou, 310027, China
*
*Corresponding author. Email addresses:21106058@zju.edu.cn Y. Wu), wangheyu@zju.edu.cn (H. Wang)
*Corresponding author. Email addresses:21106058@zju.edu.cn Y. Wu), wangheyu@zju.edu.cn (H. Wang)
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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.

Keywords

Navier-Stokes systemalgebraic multigrid preconditionmoving mesh

MSC classification

Secondary: 65M60: Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
Type
Research Article
Information
East Asian Journal on Applied Mathematics , Volume 6 , Issue 4 , November 2016 , pp. 353 - 366
Copyright
Copyright © Global-Science Press 2016 

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