A multigrid method for steady incompressible navier‐stokes equations based on flux difference splitting

摘要: The steady Navier–Stokes equations in primitive variables are discretized conservative form by a vertex-centred finite volume method Flux difference splitting is applied to the convective part obtain an upwind discretization. diffusive central way. In its first-order formulation, flux leads discretization of so-called vector positive type. This allows use classical relaxation methods collective form. An alternating line Gauss–Seidel chosen here. used as smoother multigrid method. components this are: full approximation scheme with F-cycles, bilinear prolongation, weighting for residual restriction and injection grid functions. Higher-order accuracy achieved extrapolation In approach fluxes modified adding second-order corrections involving limiting. Here simple MinMod limiter chosen. formulation discrete system solved defect correction. Computational results shown well known GAMM backward-facing step problem channel half-circular obstruction.