AN IMPLICIT CONSERVATIVE ALGORITHM FOR STEADY AND UNSTEADY THREE-DIMENSIONAL TRANSONIC POTENTIAL FLOWS 81-1016

A strongly implicit approximate factorization algorithm is described for solving the steady and unsteady transonic full potential equation written in a strong conservation form in a body-fitted coordinate system. A unique feature of the present procedure is that it may be applied either as a relaxation procedure for steady flow problems, or as an accurate non-iterative time-marching procedure for unsteady flows. Numerical results are presented for steady transonic potential flow past an advanced large aspect ratio supercritical wing and compared with experiments. Results are also presented for unsteady transonic potential flow past an impulsively started 64A010 wing at an angle of attack, and for an unswept rectangular wing oscillating in the first bending mode.

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