# SIMPLER algorithm - SIMPLE - Revised

(Difference between revisions)
 Revision as of 12:33, 26 August 2012 (view source)Michail (Talk | contribs)← Older edit Latest revision as of 12:34, 26 August 2012 (view source)Michail (Talk | contribs) Line 4: Line 4: 1. Start with a guessed velocity field. 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 $u_{nb}$ 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 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 $u^{*},v^{*},w^{*}$ 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 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 6. Correct the velocity field by use, by not ''do not'' correct the pressure + 7. Solve the discretization equations for other $\varphi$ if necessary 7. Solve the discretization equations for other $\varphi$ if necessary + 8. Return to step 2 and repeat until convergence 8. Return to step 2 and repeat until convergence

## 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:

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

## References

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