Numerical Simulation of Viscous Incompressible Flow with Variational Multiscale Method
Xiaodong Wang · Jisuan wuli · 2011
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.