SIMPLE Algorithm - Algorithm

Algorithm

The algorithm is iterative. The basic steps in the solution update are as follows:

1. Set the boundary conditions.
2. Compute the gradients of velocity and pressure.
3. Solve the discretized momentum equation to compute the intermediate velocity field .
4. Compute the uncorrected mass fluxes at faces .
5. Solve the pressure correction equation to produce cell values of the pressure correction .
6. Update the pressure field: where urf is the under-relaxation factor for pressure.
7. Update the boundary pressure corrections .
8. Correct the face mass fluxes:
9. Correct the cell velocities: ; where is the gradient of the pressure corrections, is the vector of central coefficients for the discretized linear system representing the velocity equation and Vol is the cell volume.
10. Update density due to pressure changes.