SIMPLER algorithm - SIMPLE - Revised

(Difference between revisions)
 Revision as of 20:45, 28 December 2011 (view source)Bluebase (Talk | contribs) (Added Reference)← Older edit Latest revision as of 12:34, 26 August 2012 (view source)Michail (Talk | contribs) (4 intermediate revisions not shown) Line 1: Line 1: {{stub}} {{stub}} + 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 == == 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}} + + ---- + Return to [[Numerical methods | Numerical Methods]]

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.