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A high-order scheme for the incompressible Navier–Stokes equations with open boundary condition

Authors


Correspondence to: Z. Sheng, Laboratory of Science and Technology on Computational Physics, Institute of Applied Physics and Computational Mathematics, P.O.Box 8009 Beijing, 100088, China.

E-mail: shengzhiqiang@gmail.com

SUMMARY

We present a numerical scheme to solve the incompressible Navier–Stokes equations with open boundary condition. After replacing the incompressibility constraint by the pressure Poisson equation, the key is how to give an appropriate boundary condition for the pressure Poisson equation. We propose a new boundary condition for the pressure on the open boundary. Some numerical experiments are presented to verify the accuracy and stability of scheme. Copyright © 2013 John Wiley & Sons, Ltd.

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