SOME CURRENT CFD ISSUES RELEVANT TO THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

The goals of this paper are to carefully define a particular class of well-set incompressible Navier-Stokes problems in the continuum (partial differential equation/PDE) setting and to discuss some relevant and sometimes poorly understood issues related to these well-posed PDE problems, both in the continuum world and in its computer counterpart. Emphasized are three common formulations used to generate computer codes: the primitive variable (velocity-pressure) formulation and two derived variable formulations (pressure Poisson equation and vorticity transport equation).