Semi Implicit Method for Pressure Linked Equations (SIMPLE)

SIMPLE algorithm is based on finite-volume discretization of the Navier-Stokes equations. The method was introduced by Patankar and Spalding (1972). The discretization indicated below corresponds to a uniform grid. The more general case of a non-uniform grid can be obtained from Patankar (1980). Consider the continuity equation

For the control volume shown in Fig. 27.2. The application of the finite-volume method to the continuity equation produces the following discretized form of the equation

(27.5)

 

Figure 27.2: Control volume for continuity equation.