TY - JOUR
T1 - Moving Mesh Finite Element Method for Unsteady Navier-Stokes Flow
AU - Wu , Yirong
AU - Wang , Heyu
JO - Advances in Applied Mathematics and Mechanics
VL - 3
SP - 742
EP - 756
PY - 2018
DA - 2018/05
SN - 9
DO - http://doi.org/10.4208/aamm.2016.m1457
UR - https://global-sci.org/intro/article_detail/aamm/12173.html
KW - Navier-Stokes system, $4P_1−P_1$, hierarchy geometry tree, moving mesh method.
AB - <p style="text-align: justify;">In this paper, we use moving mesh finite element method based upon $4P_1−
P_1$ element to solve the time-dependent Navier-Stokes equations in 2D. Two-layer
nested meshes are used including velocity mesh and pressure mesh, and velocity mesh
can be obtained by globally refining pressure mesh. We use hierarchy geometry tree
to store the nested meshes. This data structure provides convenience for adaptive mesh
method and the construction of multigrid preconditioning. Several numerical problems
are used to show the effect of moving mesh.</p>