ABSTRACT

The main task in this chapter is to convert the indirect information in the continuity equation into a direct algorithm for the calculation of pressure. The pressure field is indirectly specified through the continuity equation. When the correct pressure field is substituted into the momentum equations, the resulting velocity field satisfies the continuity equation. The difficulty associated with the determination of pressure has led to methods that eliminate pressure from the governing equations. The pressure, which has been so cleverly eliminated, frequently happens to be an important desired result or even an intermediate outcome required for the calculation of density and other fluid properties. The complexity is actually greater than that of treating the three velocity components and pressure directly. If a certain smooth pressure field is obtained as a solution, any number of additional solutions can be constructed by adding a checkerboard pressure field to that solution.