On numerical calculation of transonic flow patterns
HTML articles powered by AMS MathViewer
- by S. Bergman, J. G. Herriot and T. G. Kurtz PDF
- Math. Comp. 22 (1968), 13-27 Request permission
References
-
S. Bergman, "The hodograph method in the theory of compressible fluids," Supplement to Fluid Dynamics by R. von Mises and K. O. Friedrichs, Brown University, Providence, R. I., 1942.
- Stefan Bergman, A formula for the stream function of certain flows, Proc. Nat. Acad. Sci. U.S.A. 29 (1943), 276–281. MR 10079, DOI 10.1073/pnas.29.9.276
- Stefan Bergman, On representation of stream functions of subsonic and supersonic flows of compressible fluids, J. Rational Mech. Anal. 4 (1955), 883–905. MR 74206, DOI 10.1512/iumj.1955.4.54033 S. Bergman, J. G. Herriot & T. G. Kurtz, Numerical Calculation of Transonic Flow Patterns, Tech. Rep. No. CS 51, Computer Science Department, Stanford University, 1966.
- Lipman Bers, Mathematical aspects of subsonic and transonic gas dynamics, Surveys in Applied Mathematics, Vol. 3, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1958. MR 0096477
- Lipman Bers and Abe Gelbart, On a class of differential equations in mechanics of continua, Quart. Appl. Math. 1 (1943), 168–188. MR 8556, DOI 10.1090/S0033-569X-1943-08556-1
- Lipman Bers and Abe Gelbart, On a class of functions defined by partial differential equations, Trans. Amer. Math. Soc. 56 (1944), 67–93. MR 10910, DOI 10.1090/S0002-9947-1944-0010910-5 S. A. Chapltgin, On Gas Jets, Scientific Memoirs, Moscow University MathematicsPhysics Section, 21, 1904, pp. 1–121; English transl., published by NACA TM 1063, 1044. MR 7, 495. G. H. Golub & L. B. Smith, Chebyshev Approximation of Continuous Functions by a Chebyshev’s System of Functions, Tech. Rep. No. CS 72, Computer Science Dept., Stanford University, 1967.
- Richard von Mises, Mathematical theory of compressible fluid flow, Applied Mathematics and Mechanics, Vol. 3, Academic Press, Inc., New York, N.Y., 1958. MR 0094996 P. Molenbroek, "Über einige Bewegungen eines Gases mit Annahme eines Geschwindigkeitspotentials," Arch. Math. Phys. (2), v. 9, 1890, pp. 157–195.
- E. Ya. Remez, General computation methods for Čebyšev approximation. Problems with real parameters entering linearly, Izdat. Akad. Nauk Ukrain. SSR, Kiev, 1957 (Russian). MR 0088788
- J. M. Stark, Application of Bergman’s integral operators to transonic flows, Internat. J. Non-Linear Mech. 1 (1966), 17–34 (English, with French, German and Russian summaries). MR 230508, DOI 10.1016/0020-7462(66)90015-1 J. M. Stark, Transonic Flow Patterns Generated by Bergman’s Integral Operator, Report, Department of Mathematics, Stanford University, 1964.
Additional Information
- © Copyright 1968 American Mathematical Society
- Journal: Math. Comp. 22 (1968), 13-27
- MSC: Primary 76.65
- DOI: https://doi.org/10.1090/S0025-5718-1968-0224335-0
- MathSciNet review: 0224335