On Chorin’s projection method for the incompressible Navier-Stokes equations. (English) Zbl 0769.76053

The Navier-Stokes equations II - theory and numerical methods, Proc. Conf., Oberwolfach/Ger. 1991, Lect. Notes Math. 1530, 167-183 (1992).
[For the entire collection see Zbl 0759.00010.]
Pseudo-compressibility methods are frequently used in computational fluid dynamics in order to cope with the algebraic difficulties caused by the incompressibility constraint. A popular example is the pressure stabilization (Petrov-Galerkin) method which can be applied to the stationary as well as to the nonstationary Navier-Stokes problem. Also the classical projection method of A. J. Chorin can be interpreted as a variant of this method. This observation sheds some new light on the approximation properties of the projection method, particularly for the pressure.


76M25 Other numerical methods (fluid mechanics) (MSC2010)
76D05 Navier-Stokes equations for incompressible viscous fluids
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
35Q30 Navier-Stokes equations


Zbl 0759.00010