Conformal mapping and relaxation techniques are applied to the computation of supercritical cascade flow. A con formal transformation enabling the mapping of cascades found in engines and a conformal transformation producing an improved finite-difference grid are introduced. A variant of the standard line-relaxation implementation, called dynamic sweeping/' has been found to enhance the stability of the transonic relaxation process. Calculations are presented for the test cases of Gostelow and Korn to demonstrate the accuracy that can be achieved with modest computation times.
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IVES et al. (1977) studied this question.