Calculation of three-dimensional turbulent flow with a finite volume multigrid method

A numerical method for the efficient calculation of three-dimensional incompressible turbulent flow in curvilinear co-ordinates is presented. The mathematical model consists of the Reynolds averaged Navier–Stokes equations and the k–ε turbulence model. The numerical method is based on the SIMPLE pressure-correction algorithm with finite volume discretization in curvilinear co-ordinates. To accelerate the convergence of the solution method a full approximation scheme-full multigrid (FAS-FMG) method is utilized. The solution of the k–ε transport equations is embedded in the multigrid iteration. The improved convergence characteristic of the multigrid method is demonstrated by means of several calculations of three-dimensional flow cases.