The system of partial differential equations which governs the
motion of a Newtonian fluid has been known for over a century. Yet,
due to the complexity of the equations, an analytical solution is known
only for a few simple geometries or a few special cases such as very
slow motion....
The mathematical technique of overrelaxation is used here to speed the convergence of a numerical method for solving viscous, incompressible fluid flow problems. The method, called MAC, involves approximating the complete two-dimensional incompressible Navier-Stokes equations with analogous finite-difference equations. The MAC method was developed by the Los Alamos Scientific Laboratory...