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.
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Orszag, S.A., Israeli, M. & Deville, M.O. Boundary conditions for incompressible flows. J Sci Comput 1, 75–111 (1986). https://doi.org/10.1007/BF01061454
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DOI: https://doi.org/10.1007/BF01061454