A new class of fractional step techniques for the incompressible Navier-Stokes equations using direction splitting

作者：Guermond Jean Luc^*; Minev Peter D

来源：Comptes Rendus Mathematique, 2010, 348(9-10): 581-585.

DOI：10.1016/j.crma.2010.03.009

A new direction-splitting-based fractional time stepping is introduced for solving the incompressible Navier-Stokes equations. The main originality of the method is that the pressure correction is computed by solving a sequence of one-dimensional elliptic problems in each spatial direction. The method is very simple to program in parallel, very fast, and has exactly the same stability and convergence properties as the Poisson-based pressure-correction technique, either in standard or rotational form.

• 出版日期2010-5