Computations of viscous flows using a multigrid finite volume lambda formulation

The viscous finite volume lambda formulation is presented The suggested tec hnique is apt to compute viscous flows with heat fluxes. The inviscid terms are evaluated by means of the non-conservative, very accurate upwind metho dology, known as the finite volume lambda formulation The diffusive terms, on the contrary, are approximated by a central scheme. Both methods are cha racterized by a nominal second order accuracy in space. Efficiency is enhan ced by means of a multigrid technique which directly combines each grid lev el with each stage of an explicit multistage time integration technique. A laminar-viscous flow about a NACA 0012 airfoil and a turbulent one about a RAE 2822 airfoil have been computed as well as the two- and three-dimension al turbulent flows inside the Stanitz elbow The computed numerical results are in very good agreement with well assessed published numerical or experi mental results The suggested multigrid technique allows significant work re ductions for laminar as well as for turbulent flow computations.