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November 3, 2012, 03:56 |
Incompressible Navier-Stokes / channel / BC
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#1 |
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Join Date: Mar 2011
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Hello,
The Chorin's algorithm to solve the incompressible Navier-Stokes equations has three steps: 1- velocity prediction: u_i 2- pressure computation: p 3- velocity correction: u . Using a finite element method to solve the problem, the weak formulation of equation 2- may be written as: if p_n is the pressure computed at a previous step, we seek for a pressure p that verifies int_Omega grad(p).grad(phi) dx = int_Omega grad(p_n).grad(phi) dx + int_OmegaBoundary grad(p_n).normal phi ds + (1/Delta(t)) int_Omega div(u_i) phi dx where phi is a test function. I am wondering what are the right boundary conditions for the pressure equation ? |
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