关键词: Navier_Stokes equations, approximate inertial manifold, non_singular solution

Abstract: A kind simple postprocess procedure for classical Galerkin method for steady Navier_Stokes equations with stream function form was presented in this paper. The main ideal was to construct an approximate interactive rule between lower frequency components and higher frequency components by using the conception of Approximate Inertial Manifold(AIM) and a kind of new decomposition of the true solution. It is demonstrated in this paper that this kind of postprocess Galerkin method could derive a higher accuracy solution with lower computing efforts.

Key words: Navier_Stokes equations, approximate inertial manifold, non_singular solution