A Contribution to the Numerical Prediction of Unsteady Flows

Abstract

Methods based on flux-differe nce splitting are investigated with reference to the prediction of unsteady compressible flows. They combine the feature of taking into account the wake-like nature of these flows and the capability of correctly capturing shock waves. Two recently proposed approaches and a third one suggested here are compared for one-dimensional flow, with particular reference to the means of operating the splitting. They are extended to the cases of variable-area ducts and a general transformation of the independent variables. Firstand second-order accurate schemes are presented and procedures for the computation at the boundaries are shown. Finally, numerical experiments are reported and discussed.