Random-Choice Solutions for Two-Dimensional and Axisymmetric Supersonic Flows

概要

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A two-dimensional random-choice code has been developed to compute the steady two-dimensional and axisymmetric supersonic inviscid flows over arbitrary body shapes. A two-dimensional Riemann problem is solved for each spatial mesh at each spatial step marching downstream in one way. Its solution is constructed by a combination of an obique shock wave and a Prandtl-Meyer expansion wave. An extended Godunov's iterative technique is developed to get the solution. The oblique coordinates and an operatorsplitting technique are employed which permits the code to march along the body surface and to apply the axisymmetric flow. The computed shock positions and pressure distributions for a confluence of two-dimensional supersonic jets (shock-tube analogy) and for flows over a diamond airfoil and a cone are found to be in good agreements with analytical ones. A conical N-wave solution is obtained in a supersonic flow over a double cone by combining the oblique coordinates with the operator-splitting technique.
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