Abstract
The approximate factorisation technique for solving the potential flow equation is studied and a condition is derived for determining the form the factorisation should take in a transformed coordinate system. An extension of this scheme to compute transonic flow by solving the nonconservative farm of the potential equation is described. Several results are then presented for the calculation of transonic lifting flow over an aerofoil. The convergence of the approximate factorisation algorithm described in this paper is compared with the corresponding behaviour of a successive line overrelaxation method for the identical flow problem. The improvement in convergence rate shown by these numerical comparisons indicates that approximate factorisation can achieve converged results between five and ten times faster than the successive line overrelaxation methods hitherto used to compute potential flow.
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