Navier-Stokes: SIMPLE Algorithm

This lecture covers the application of the SIMPLE algorithm in solving steady incompressible Navier-Stokes equations. The algorithm involves deriving pressure corrections to enforce continuity, neglecting neighbor contributions in velocity corrections, and iterating to update velocity and pressure values. Variants like SIMPLER and SIMPLEC are discussed, along with the PISO method for faster convergence. The lecture also compares staggered grid vs. collocated grid approaches in numerical flow simulations, highlighting the challenges and solutions to avoid checkerboard modes. Guidelines for solving coupled momentum and continuity equations, and methods for handling incompressible flows, are provided.