Explicit Runge-Kutta method for three-dimensional internal incompressible flows

A computer code has been developed to obtain the steady-state solutions for three-dimensional laminar incompressible flow governed by the Navier-Stokes equations. A central difference finite-volume formulation with an explicit one-step multistage Runge-Kutta time-stepping scheme for the primitive variables (i.e., velocity components and pressure) is used. The preconditioning matrix method, which is a generalized version of the artificial compressibility method, is used to construct a pressure equation from the continuity equation. Fourth-order artificial dissipation is used to suppress high-frequency oscillations