The method of decomposition applied in transonic flow calculations
This paper presents some results concerning recent developments of a special numerical technique, here applied to external transonic flow problems. The potential equation to be solved is of mixed elliptic-hyperbolic type and nonlinear. The basic idea is the decomposition of the original velocity potential into two new functions forming a coupled system, which can be integrated in opposite lateral directions. The two new equations are integrated, one at a time, by a marching procedure, alternating between the flying object and a chosen outer boundary at which a far field relation is assumed. The new functions are solved iteratively until convergence has been obtained. The method is based on finite difference approximations. Axisymmetric bodies and wing-body combinations have been treated.
KeywordsTransonic Flow AIAA Journal Axisymmetric Body Wing Vortex Embed Shock
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