Abstract
Many fluid-flow phenomena are one- or two-dimensional in their behavior and can be analyzed by equations formulated in these dimensions, flows in the real world are three-dimensional and are unsteady. Many two-dimensional fluid flows of interest to aerodynamicists can be resolved to a high degree of accuracy and with reasonable run times by the standard scientific computers of the 1970s. This is not true for unsteady three-dimensional flows. This chapter discusses the problems that arise in constructing efficient programs to be used for the large three-dimensional flow simulations. It presents a computational procedure designed for making time-accurate simulations of general compressible fluid flows. It is designed specifically for the Illinois automatic computer (ILLIAC), however, the concepts are useful for other computers with similar architectures. The solution of three-dimensional, time-accurate problems based on the Reynolds-averaged, Navier–Stokes equations for compressible fluid flows can easily require several million words of storage.
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