INCOMPRESSIBLE-FLOW CALCULATIONS WITH A CONSISTENT PHYSICAL INTERPOLATION FINITE-VOLUME APPROACH

The computation of incompressible three-dimensional viscous flow is di scussed. A new physically consistent method is presented for the recon struction for velocity fluxes which arise from the mass and momentum b alance discrete equations. This closure method for fluxes allows the u se of a cell-centered grid in which velocity and pressure unknowns sha re the same location, while circumventing the occurrence of spurious p ressure modes. The method is validated on several benchmark problems w hich include steady laminar flow predictions on a two-dimensional cart esian (lid driven 2D cavity) or curvilinear grid (circular cylinder pr oblem at Re = 40), unsteady three-dimensional laminar flow predictions on a cartesian grid (parallelopipedic lid driven cavity) and unsteady two-dimensional turbulent flow predictions on a curvilinear grid (vor tex shedding past a square cylinder at Re = 22,000).