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

被引:2
|
作者
Wu, Yirong [1 ]
Wang, Heyu [1 ]
机构
[1] Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Zhejiang, Peoples R China
基金
中国国家自然科学基金;
关键词
Navier-Stokes system; algebraic multigrid precondition; moving mesh; HARMONIC MAPS; DIMENSIONS; MATRICES;
D O I
10.4208/eajam.080416.240516a
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
引用
收藏
页码:353 / 366
页数:14
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