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Volume 6, Issue 4
An AMG Preconditioner for Solving the Navier-Stokes Equations with a Moving Mesh Finite Element Method

Yirong Wu & Heyu Wang

DOI: 10.4208/eajam.080416.240516a

East Asian J. Appl. Math., 6 (2016), pp. 353-366.

Published online: 2018-02

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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 system, algebraic multigrid precondition, moving mesh.

  • AMS Subject Headings

65M60

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-6-353, author = {Yirong Wu and Heyu Wang}, title = {An AMG Preconditioner for Solving the Navier-Stokes Equations with a Moving Mesh Finite Element Method}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {6}, number = {4}, pages = {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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.080416.240516a}, url = {http://global-sci.org/intro/article_detail/eajam/10804.html} }
TY - JOUR T1 - An AMG Preconditioner for Solving the Navier-Stokes Equations with a Moving Mesh Finite Element Method AU - Yirong Wu & Heyu Wang JO - East Asian Journal on Applied Mathematics VL - 4 SP - 353 EP - 366 PY - 2018 DA - 2018/02 SN - 6 DO - http://doi.org/10.4208/eajam.080416.240516a UR - https://global-sci.org/intro/article_detail/eajam/10804.html KW - Navier-Stokes system, algebraic multigrid precondition, moving mesh. AB -

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.

Yirong Wu and Heyu Wang. (2018). An AMG Preconditioner for Solving the Navier-Stokes Equations with a Moving Mesh Finite Element Method. East Asian Journal on Applied Mathematics. 6 (4). 353-366. doi:10.4208/eajam.080416.240516a
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