Abstract:

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 convergence of the finite element solution are proved . The numerical test Stokes problem is carried out and satisfactory results are obtained

Key words: Stationary viscous impressible fluid, Computation of flowing field: Navier-Stokes equati, Finite clement approximation