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

Marc Thiriet (1) , Z. Sheng (2) , Frédéric Hecht (3)

1 REO - Numerical simulation of biological flows
2 Institute of Applied Physics and Computational Mathematics - IACM (Beijing, China))
3 LJLL - Laboratoire Jacques-Louis Lions

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.

Domaines: Biomécanique [physics.med-ph]; Biomécanique [physics.med-ph]

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, 2013, 73 (1), pp.58-73. ⟨10.1002/fld.3792⟩. ⟨hal-00931030⟩