[Geon-Hong]

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!

Thank you.

Best regards,
Geon-Hong

[valgrinda]

Hei,

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 Chorin´s 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.

Cheers
Hans