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Boundary conditions for incompressible flows |
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| Authors: | Steven A Orszag Moshe Israeli Michel O Deville |
| Affiliation: | (1) Applied and Computational Mathematics, Princeton University, 08544 Princeton, New Jersey;(2) Université de Louvain, Louvain, Belgium |
| Abstract: | A general framework is presented for the formulation and analysis of rigid no-slip boundary conditions for numerical schemes for the solution of the incompressible Navier-Stokes equations. It is shown that fractional-step (splitting) methods are prone to introduce a spurious numerical boundary layer that induces substantial time differencing errors. High-order extrapolation methods are analyzed to reduce these errors. Both improved pressure boundary condition and velocity boundary condition methods are developed that allow accurate implementation of rigid no-slip boundary conditions. |
| Keywords: | Computational fluid dynamics splitting methods Poisson equation fractional step methods extrapolation methods time-stepping methods incompressible flows boundary conditions |
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