Examples of Decompositions for Time and Space Domains and Discretization of Equations for General Purpose Computational Fluid Dynamics Programs and Historical Perspective of Some Key Developments

Abstract

This paper presents two examples from mid-eighties related to decomposition for time and space domains and discretization of equations for the general purpose Computational Fluid Dynamics (CFD) programs. The first example is related to the implementation of rectangular coordinates to simulate flow and heat transfer in the arbitrarily shaped domains with various heat transfer boundary conditions. The second example demonstrates capabilities to introduce and test implicit and explicit higher order numerical schemes. In both cases the implementation of linearized source terms for various equations is used to allow regrouping and adding new terms in equations without the need for major changes to the general purpose CFD programs. Presented examples provide a historical perspective of some key developments based on the well-planned code architecture. These developments are contrasted with the other selected historical developments and current practices.