恒定粘性不可压缩流体Navier-Stokes方程的非协调节点展开有限元逼近

NONCONFORMING NODAL EXPANSION FEA FOR STATIONARY VISCOUS IMPRESSIBLE NAVIER-STOKES EQUATIONS

本文把中子扩散方程的节点展开法运用于流场的计算,对恒定粘性不可压缩流体的Navier-Stokes方程提出了非协调节点展开有限元逼近,论证了有限元解的存在唯一性和收敛性,并进行了数值试验,得到了比较满意的结果。

In this paper, the nodal expansion method of neutron diffusion equation is applied to the computation of flowing field and the nonconforming nodal expansion finite element approximation is set up for solving stationary viscous impressible Navier-Stokes equations. The existence uniqueness and convergence of the finite element solution are proved. The numerical test for Stokes problem is carried out and satisfactory results are obtained.