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 - <p style="text-align: justify;">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.</p>