SIMPLE algorithm

- Note
*Under construction*- please check again later

**S**emi-**I**mplicit**M**ethod for**P**ressure**L**inked**E**quations- By
*Caretto et al.*[9]

The sequence for each iteration follows:

- Advance to the next iteration \( t = t^{n + 1} \)
- Initialise \( \u^{n+1} \) and \( p^{n+1} \) using latest available values of \( \u \) and \( p \)
- Construct the momentum equations
- Under-relax the momentum matrix
- Solve the momentum equations to obtain a prediction for \( \u^{n+1} \)
- Construct the pressure equation
- Solve the pressure equation for \( p^{n+1} \)
- Correct the flux for \( \phi^{n+1} \)
- Under-relax \( p^{n+1} \)
- Correct the velocity for \( \u^{n+1} \)
- If not converged, go back to step 2

- By
*Van Doormaal and Raithby*[89]

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