Abstract

In the previous chapters we have analyzed the projection methods of Chorin and of Van Kan, based on their reformulation as semi-explicit quasi-compressibility methods. Due to the resulting Poisson equation for the pressure function in combination with homogeneous boundary conditions, these schemes possess a singular perturbation character. This chapter is devoted to the question of whether it is possible to construct projection type algorithms that do not suffer from numerically induced boundary layers for the pressure approximation. The complete removal of the boundary layers would give rise to a regular perturbation formulation of the incompressible Stokes operator.

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