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Study of integral equation methods for transonic flow calculations

✍ Scribed by Hong Hu

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
540 KB
Volume
11
Category
Article
ISSN
0955-7997

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✦ Synopsis

An integral equation method based on the full-potential equation for transonic flow calculations is presented. The full-potential equation is written in the moving frame of reference, in the form of the Poisson's equation. The integral equation solution in terms of the velocity field is obtained by the Green's theorem. The numerical solutions are obtained by a time-marching (if unsteady flows), iterative procedure. The computational examples presented in the present paper include steady and unsteady, two-dimensional (airfoil) and three-dimensional (wing) flows. The method of combining the integral equation solution with the finitevolume Euler solution is also presented. Through studying the method and computational examples, the capabilities and limitations of the transonic integral equation method are discussed. Finally, the need for further research is addressed.

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