A generalized variational principle for 3-D unsteady transonic rotational flow in rotor using Clebsch variables

International Journal of Turbo and Jet Engines

Volumn 14, Issue 1, 1997, Pages 17-21

  He, Ji Huan ^a  

^a SHANGHAI UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031512469     PISSN: 03340082     EISSN: None     Source Type: Journal    
DOI: 10.1515/TJJ.1997.14.1.17     Document Type: Article

References (12)

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3. McCroskey, W.J. Some current research in unsteady fluid dynamics, ASME J. Fluids Engrg., 99 (1), 8-39 (1977).
4. Chan, S.T.K. et al. FE applications to unsteady transonic flow, AIAA paper, 1977.
5. Liu, G.-L. A variable-domain variational theory using Clebsch variables for hybrid problems of 2-D transonic rotational flow, Acta Mechanica, 99, 219-223 (1993).
6. Liu, G.-L. General variational principle family for fully 3-D unsteady transonic flow with shocks around oscillating wings, Science in China, 32(6), 271-279 (1989).
7. Liu, G.-L. A new pseudo-potential function model for rotational flow and its application to transonic-supersonic flow [in Chinese]. J. of Engineering Thermophysics, 12(1), 280-285 (1991).
8. Liu, G.-L. Variational formulation of hybrid problems for fully 3-D transonic flow with shocks in rotor, 3rd International Conf. on Inverse Design & Optimization in Engineering Sciences, Washington, D.C., 1991; 337-346.
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10. Ecer, A. and Akay, H.U. A FE formulation for steady transonic Euler equations, AIAA J., 21, 343-350 (1983).
11. Seliver, R.L. and Whitham, G.C. Variational principles in continuum mechanics, Proceedings of the Royal Society, A305, 1-25 (1968).
12. Finlayson, B.A. The Method of Weighted Residuals and Variational Principles, Academic Press, 1972.