A low-degree strictly conservative finite element method for incompressible flows
A low-degree strictly conservative finite element method for incompressible flows
复制标题
DOI：
10.5802/smai-jcm.85
复制
发表时间：
2021-03
期刊：
影响因子：
--
通讯作者：
Huilan Zeng;Chensong Zhang;Shuo Zhang
中科院分区：
文献类型：
--
作者：
Huilan Zeng;Chensong Zhang;Shuo Zhang
本文针对不可压缩流体，提出了一种新的$P_{2}-P_{1}$有限元副。对于这一对，离散的补上条件和离散的Korn不等式在一般三角剖分上成立。当应用于不可压缩流的模型时，它产生精确的无散度速度近似。从理论上和数值上验证了该副对不可压缩流的鲁棒性。
In this paper, a new $P_{2}-P_{1}$ finite element pair is proposed for incompressible fluid. For this pair, the discrete inf-sup condition and the discrete Korn's inequality hold on general triangulations. It yields exactly divergence-free velocity approximations when applied to models of incompressible flows. The robust capacity of the pair for incompressible flows are verified theoretically and numerically.