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Projection method. I: Convergence and numerical boundary layers. (English) Zbl 0842.76052
The authors present projection methods applied to the viscous incompressible flow calculations. This paper is devoted to the explicit characterization of the numerical boundary layers. The convergence and optimal error estimates for both velocity and pressure up to boundary are given. The authors study different choices of the pressure boundary conditions and compare their performance in terms of accuracy of the numerical solution. The boundary layer structure is strongly influenced by the numerical boundary condition for pressure at the projection step.

MSC:
76M20 Finite difference methods applied to problems in fluid mechanics
76D05 Navier-Stokes equations for incompressible viscous fluids
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
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