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SIMPLE algorithm

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SIMPLE

  • <B>S</B>emi-<B>I</B>mplicit <B>M</B>ethod for <B>P</B>ressure <B>L</B>inked <B>E</B>quations
  • By Caretto et al. 9

The sequence for each iteration follows:

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

SIMPLEC

  • By Van Doormaal and Raithby 82