ABSTRACT
For incompressible flow, the density is constant and there is no equation for solving pressure. As pressure appears in all three momentum equations, the lack of an independent equation for pressure complicates the solution of Navier-Stokes equations. So even though there is no explicit equation for pressure, there are four equations (i.e. continuity and three momentum equations for four variables u, v, w and p) and the set of equations can be closed by deriving pressure equation from the continuity equation. In other words, satisfying mass conservation will lead to a pressure equation. Chapter 6 deals with the solution of incompressible Navier-Stokes equations. The merit and demerits of co-located and staggered grid arrangements are highlighted. Both vorticity-stream function and primitive variable methods are dealt with. The SIMPLE algorithms and its variants used to solve the incompressible Navier-Stokes equations are described in detail along with associated merits and demerits.
