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

Abstract : 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.
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https://hal.inria.fr/hal-00931030
Contributor : Marc Thiriet <>
Submitted on : Tuesday, January 14, 2014 - 6:07:46 PM
Last modification on : Friday, March 27, 2020 - 2:57:23 AM

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Marc Thiriet, Z. Sheng, Frédéric Hecht. A high-order scheme for the incompressible Navier-Stokes equations with open boundary condition. International Journal for Numerical Methods in Fluids, Wiley, 2013, 73 (1), pp.58-73. ⟨10.1002/fld.3792⟩. ⟨hal-00931030⟩

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