
doi: 10.1137/0732047
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.
optimal error estimates, pressure boundary conditions, Navier-Stokes equations for incompressible viscous fluids, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Finite difference methods applied to problems in fluid mechanics
optimal error estimates, pressure boundary conditions, Navier-Stokes equations for incompressible viscous fluids, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Finite difference methods applied to problems in fluid mechanics
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