What is advantage of SIMPLE algorithm?
I tried to solve incompressible Navier-Stokes equations using SIMPLE algorithm as pressure-velocity coupling procedure.
Why many commercial CFD tools use SIMPLE(or family of) algorithm as the pressure-velocity correction procedure to solve incompressible Navier-Stokes equations?
What is advantage of SIMPLE algorithm when it is compared to other methods such as fractional step method?
I need your help!
SIMPLE vs FSM
The strength of the SIMPLE method is, that together with implicit time treatment of the flow variables you can efficiently obtain a steady state solution or use rather large time steps for unsteady flow computations (CFL>1).
In contrast, if you need a detailed and more accurate resolution of the time scale, than FSM is probably more attractive. Here explicit time treatment of the velocities and Chorinīs projection method for the pressure are used, which makes it comparably easy to devise a high-order time discretization scheme (for example 3rd or 4th order Runge-Kutta). Since the CFL criterion needs to be fulfilled, time steps are rather small.
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