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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