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The method of characteristics for steady supersonic rotational flow in three dimensions

Published online by Cambridge University Press:  28 March 2006

Maurice Holt
Maurice Holt
Affiliation:
Division of Applied Mathematics, Brown University, Providence
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Abstract

The method of characteristics for steady supersonic flow problems in three dimensions, due to Coburn & Dolph (1949), is extended so that flow with shocks and entropy changes may be treated. Equations of motion based on Coburn & Dolph's characteristic coordinate system are derived and a scheme is described for solving these by finite differences.

A linearized method of characteristics is developed for calculating perturbations of a given three-dimensional field of flow. This is a generalization of the method evolved by Ferri (1952) for perturbations of plane flow and conical flow.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 1 , Issue 4 , October 1956 , pp. 409 - 423
Copyright
© 1956 Cambridge University Press

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References

Coburn, N. & Dolph, C. L. 1949 Proc. 1st Symp. Appl. Math., Amer. Math. Soc.
Ferrari, C. 1936 Atti d. Re. Aca. d. Sc. d. Torino, 72, 140.
Ferri, A. 1952 Nat. Adv. Comm. Aero., Wash., Rep. no. 1102.
Guderley, G. 1947 Lilienthal Gesellschaft Rep. no. 139, Part 2, p. 15. (Also as Aero. Res. Counc., Lond., Rep. no. 10261.)
Meyer, R. E. & Holt, M. 1951 Aero. Quart. 2, 195.
Sauer, R. 1950 Z. angew. Math. Mech. 30, 11.
Thornhill, C. K. 1952 Aero. Res. Counc., Lond., Rep. & Mem. no. 2615.
Titt, E. W. 1939 Ann. Math. (2), 40, 862.