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A discrete artificial boundary condition for steady incompressible viscous flows in a no-slip channel using a fast iterative method

✍ Scribed by Houde Han; ; Jinfu Lu; ; Weizhu BAO

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 466 KB
Volume: 114
Category: Article
ISSN: 0021-9991
DOI: 10.1006/jcph.1994.1160

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✦ Synopsis

We design a discrete artificial boundary condition for the steady incompressible Navier-Stokes equations in stream function vorticity formulation in an infinite channel. The new boundary condition is derived from a linearized Navier-Stokes system and a fast iterative method. Numerical experiments for the nonlinear Navier-Stokes equations are presented. The discrete artificial boundary condition is compared to Dirichlet and Neumann boundary conditions for the flow over a forward or backward facing step and for flow past a rectangular cylinder. Numerical results show that our boundary condition is very effective.

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