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SIMPLE algorithm

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# SIMPLE

• Semi-Implicit Method for Pressure Linked Equations
• By Caretto et al. [9]

The sequence for each iteration follows:

1. Advance to the next iteration $$t = t^{n + 1}$$
2. Initialise $$\u^{n+1}$$ and $$p^{n+1}$$ using latest available values of $$\u$$ and $$p$$
3. Construct the momentum equations
4. Under-relax the momentum matrix
5. Solve the momentum equations to obtain a prediction for $$\u^{n+1}$$
6. Construct the pressure equation
7. Solve the pressure equation for $$p^{n+1}$$
8. Correct the flux for $$\phi^{n+1}$$
9. Under-relax $$p^{n+1}$$
10. Correct the velocity for $$\u^{n+1}$$
11. If not converged, go back to step 2

# SIMPLEC

• By Van Doormaal and Raithby [89]

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