Fractional-step projection method

Abstract

Dulcis in fundo, the last method to be described for the solution of the incompressible Navier-Stokes is the fractional-step projection method introduced by Chorin (1968a-b and 1969) and Temam (1969a-b, see also [35, p. 395]). This method is the most frequently used for solving the primitive variable Navier-Stokes equations and has been the first numerical scheme enabling a cost-effective solution of three-dimensional time-dependent problems. Since its initial appearance, the fractional-step method has been repeatedly considered in CFD literature and several implementations have been proposed using spatial discretizations based on finite difference, finite elements or spectral methods. A general description of the method with the details of its most relevant variants can be found in [35], [14] and [6].KeywordsProjection MethodFinite Element EquationOrthogonal Projection OperatorPiecewise Constant ApproximationConsistent Mass MatrixThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.