The incompressible Navier—Stokes equations

Abstract

Methods for the approximate solution of the incompressible Navier-Stokes equations have been investigated rather extensively in the last two decades. Several numerical schemes have been developed for the calculation of both steady and unsteady viscous flows using the various possible formulations of the problem. An important aspect of the numerical methods for solving this class of problems is the proper specification of the boundary conditions, especially when solid walls are present. Of course, the appropriate treatment depends on which variables are chosen as unknowns and, from a numerical viewpoint, the specific form assumed by the boundary conditions may also depend on the method adopted for discretizing space and time.