INTEGRAL SOLUTION OF UNSTEADY FULL-POTENTIAL EQUATION FOR A TRANSONIC PITCHING AIRFOIL

The unsteady full-potential equation formulation in a moving frame of reference has been developed and used to solve unsteady transonic flow problems. An unsteady integral-equation shock-capturing (IE-SC) scheme has been developed. The resulting unsteady IE-SC scheme is applied to a NACA 0012 airfoil undergoing a pitching oscillation. The numerical results are compared with those of an implicit, approximately factored, finite-volume Euler scheme. The present scheme is efficient in terms of the number of iterations as compared to the other existing schemes, which use finite-difference or finite-volume methods. © 1989 American Institute of Aeronautics and Astronautics, Inc. All rights reserved.