SIMPLER algorithm - SIMPLE - Revised

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.