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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:
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1. Start with a guessed velocity field.
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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>
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3. Calculate the cofficients for the pressure equation, and solve it to obtain pressure field
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4. Treating this pressure field as <math>p^{*}</math>, solve the momentum equation to obtain <math>u^{*},v^{*},w^{*}</math>
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5. Calculate the mass source <math>b</math> and hence solve the p^{'} equation
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6. Correct the velocity field by use, by not ''do not'' correct the pressure
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7. Solve the discretization equations for other <math>\varphi</math> if necessary
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8. Return to step 2 and repeat until convergence
== References ==
== 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}}
* {{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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----
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<i> Return to [[Numerical methods | Numerical Methods]] </i>

Latest revision as of 12:34, 26 August 2012


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 \hat{u}, \hat{v}, \hat{w} from momentum equations by substituting the value of the neiboughbor velocities u_{nb}

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

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

5. Calculate the mass source b 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 \varphi if necessary

8. Return to step 2 and repeat until convergence

References

  • Patankar, S.V. (1980), Numerical Heat Transfer and Fluid Flow, Hemisphere Publishing Corporation, Taylor & Francis Group, New York. ISBN-13: 978-0891165223.

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