Operator splitting and upwinding for the navier-stokes equations

摘要

We present an operator splitting scheme for the unsteady navier-Stokes equations for incompressible vis- cous flow. Like other operator spliting methods applied to these equations, the difficulties associated with the nonlinearity and the incompressibility condition are decoupled. At each time step we obtain two subproblems of Stokes type and a linear one of elliptic type. The liner problem gives us uncoupled scalar problems of transport type; then, we may take advantage of well known upwind techniques for such kind of problems in order to handle large Reynolds numbers flow with coarse meshes.