Abstract: Velocity filed is decomposed into "coarse" and "fine" scales with a variational mulitiscale method.The "fine" scale is modeled by bubble functions,and solved with Petrov-Galerkin method.A stabilized term and stabilization parameter are introduced by coupling the "fine" and "coarse" scales.A variational multiscale equation which preserves properties of both "fine" and "coarse" scales is solved with a finite element method.It shows that the method is stable and accurate.It eliminates spurious oscillations caused by dominated advection term and uncoupling between velocity and pressure in numerical simulation of incompressible flows.The stabilization parameter can be applied to structure and unstructure meshes as well.

Key words: viscous incompressible, variational multiscale, stabilized method, stabilization parameter