The Integral Equation Method for Transonic Flow Interpreted as Method of Weighted Residuals.

摘要

The integral equation method for transonic flow, originally suggested by Oswatitsch and extended by Spreiter, Zierep, Hancock and Nixon is interpreted as a method of weighted residuals. The underlying mathematical concepts are developed in several appendices. This interpretation makes it possible to combine the method with other weighted residual approaches, for instance, finite difference or finite element methods. The latter methods, because of their strongly-localized character are particularly well-suited to treat the transition through the sonic line and shocks. The integral equation method is best in the subsonic part of the flow field. Using the integral equation method only in far field, one obtains far field conditions which approximately take into account nonlinear terms even in the far field, and, therefore, are more accurate than far field conditions so far available in the literature.