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The SIMPLEC (Semi-Implicit Method for Pressure Linked Equations-Consistent) algorithm; a modified form of SIMPLE algorithm; is a commonly used numerical procedure in Computational Fluid Dynamics to solve the very famous Navier-Stokes equations.
This algorithm was developed by Van Doormal and Raithby in 1984. The algorithm follows the same steps like the SIMPLE algorithm with a little variation that the momentum equations are manipulated which allows SIMPLEC velocity correction equations to omit terms that are less significant than those omitted in SIMPLE. Basically, it tries to prevent the effects of dropping velocity neighbor correction terms.
Contents
Algorithm
The steps involved are same as the SIMPLE algorithm and the algorithm is iterative in nature.p*, u*, v* are guessed Pressure, X-direction velocity and Y-direction velocity respectively, p', u', v' are the correction terms respectively and p, u, v are the correct fields respectively; Φ is the property for which we are solving and d terms are involved with the under relaxation factor. So, steps are as follows:
- Specify the boundary conditions and guess the initial values.
- Determine the velocity and pressure gradients.
- Calculate the pseudo velocities.
- Solve for the pressure equation and get the p.
- Set p*=p.
- Using p* solve the discretized momentum equation and get u* and v*.
- Solve the pressure correction equation.
- Get the pressure correction term and evaluate the corrected velocities and get p, u, v, Φ*.
- Solve all other discretized transport equations.
- If Φ shows convergence, then STOP and if not, then set p*=p, u*=u, v*=v, Φ*=Φ and start the iteration again.