Abstract
The basic idea of transonic integral equation which was first derived by Oswatitsch [1], [2] is the following: The nonlinear differential operator governing the transonic flow problem is split into a linear elliptic operator and a nonlinear rest operator, which can be done in many different ways. Then the elliptic operator is transformed to Laplace operator by a linear coordinate transformation. Thus one obtains formally a Poisson equation, the right hand side being the unknown nonlinear rest term. By applying Green’ s formula one obtains the nonlinear Integral Equation.
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References
Oswatitsch, K.: Die Geschwindigkeitsverteilung bei lokalen Überschallgebieten an flachen Profilen. ZAMM, Band 30, Heft 1/2 (1950), 17–24.
Oswatitsch, K.: Die Geschwindigkeitsverteilung an symmetrischen Profilen beim Auftreten lokaler Überschallgebiete. Acta Physica Austriaca, Band IV, Heft 2/3 (1950), 228–271.
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© 1976 Springer-Verlag, Berlin/Heidelberg
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Frohn, A. (1976). Problems and Results of the Integral Equation Method for Transonic Flows. In: Oswatitsch, K., Rues, D. (eds) Symposium Transsonicum II. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81005-3_19
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DOI: https://doi.org/10.1007/978-3-642-81005-3_19
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