SIMPLER algorithm - SIMPLE - Revised

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The revised algorithm consist of solving the pressure equation to obtain the pressure field and solving the pressufre-correction equation only to correct the velocities. The sequence of operations can be stated as:

1. Start with a guessed velocity field.

2. Calculate the cofficients for the momentum equations and hence calculate <math>\hat{u}, \hat{v}, \hat{w} </math> from momentum equations by substituting the value of the neiboughbor velocities <math>u_{nb}</math>

3. Calculate the cofficients for the pressure equation, and solve it to obtain pressure field

4. Treating this pressure field as <math>p^{*}</math>, solve the momentum equation to obtain <math>u^{*},v^{*},w^{*}</math>

5. Calculate the mass source <math>b</math> and hence solve the p^{'} equation

6. Correct the velocity field by use, by not ''do not'' correct the pressure

7. Solve the discretization equations for other <math>\varphi</math> if necessary

8. Return to step 2 and repeat until convergence

== References ==

* {{reference-book|author=Patankar, S.V. |year=1980|title=Numerical Heat Transfer and Fluid Flow|rest=Hemisphere Publishing Corporation, Taylor & Francis Group, New York. ISBN-13: 978-0891165223}}

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