A generalized implicit finite difference method for transient analysis of compressible and incompressible fluid flows
Abstract
The SemiImplicit Method for PressureLinked Equations (SIMPLE) algorithm for engineering heat transfer and fluid flow problems is presently modified for use in the transient analysis of high speed (compressible) and low speed (incompressible) fluid flows. The modification expresses the density variation in terms of both pressure variation and the speed of sound. The applicability and validity of the SIMPLE algorithm, using the modifications discussed, are tested in the cases of two problems involving onedimensional transient flow. One case is compressible, the other incompressible. Good agreement is obtained with earlier solutions.
 Publication:

IN: Numerical methods for fluid transient analysis; Proceedings of the Applied Mechanics
 Pub Date:
 1983
 Bibcode:
 1983nmft.proc...17H
 Keywords:

 Compressible Flow;
 Computational Fluid Dynamics;
 Finite Difference Theory;
 Incompressible Flow;
 Pipe Flow;
 Unsteady Flow;
 Boundary Value Problems;
 Flow Velocity;
 Partial Differential Equations;
 Run Time (Computers);
 Surges;
 Fluid Mechanics and Heat Transfer