Optimal airfoil in an inverse problem of jet aerodynamics

• Autorzy: Lupu M. , Scheiber E.
• Konferencja: International Conference on Numerical Methods and Continuum Mechanics (7 ; October 6-9, 1998, Stará Lesná ; High Tatras ; Slovakia)
• Języki publikacji: EN

Abstrakty

EN

The paper deals with a special inverse boundary problem, when the boundary of the domain is completely unknown and a singular integral equation for the velocity angle is obtained. For the model of free plane symmetric incompressible jet forked by an airfoil, the boundary equations and airfoil shape are ``a posteriori'' determined, while the velocity along them is ``a priori'' prescribed. With the aim to obtain minimum drag, in the present paper there is solved the optimization problem for airfoils, using the penalty method and the golden section method. In the case of optimum, numerical computations are performed and the airfoil design together with the drag coefficient are obtained.

Słowa kluczowe

EN

optimization; aerodynamics

PL

optymalizacja; aerodynamika

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2000
• Tom: Vol. 7, No. 2
• Strony: 227--238
• Opis fizyczny: Bibliogr. 11 poz., rys., tab., wykr.

Twórcy

autor

Lupu M.

• Transilvania University of Brasov, Deparment of Mathematics, 2200 Brasov, B-dul Eroilor 9, Romania

autor

Scheiber E.

• Transilvania University of Brasov, Deparment of Mathematics, 2200 Brasov, B-dul Eroilor 9, Romania

Bibliografia

• [1] U. Cisotti. Idromeccanica Piana. Libreria Editice Politecnica Milano, ti. 1921, t2. 1922.
• [2] A.A. Hamidov. Plane and Axial Symmetrical Jet Problems (in Russian). Tashkent University Press, Tashkent, 1978.
• [3] C. Iacob. Introduction Math6matique ci la M6canique des Fluides. Gauthier-Villars, Bucarest-Paris, 1959.
• [4] V. Karmanov. Programmation Math6matique. Mir Publishers, Moscow, 1977.
• [5] M. Lupu. Obtaining and studying Beltrami type equations for axial-symmetric jets in M.G.D. In: V. Barbu, ed., Differential equations and control theory„ 171-181. Ed. Longman Sci. & Tech., NY, 1991.
• [6] M. Lupu, E. Scheiber, A study on some inverse boundary problems in the case of incompressible fluid jets (in Romanian). Studii Cercetdri Matematice (Mathematical Reports), 49: 197-209, 1997.
• [7] N. I. Mushelishvili, Singular Integral Equations. Noordhoff, Groningen, The Netherlands, 1953.
• [8] T. Petrila. On the design of an airfoil. Revue Roumaine des Math. Pures et Appliques, 7: 649-660, 1992.
• [9] S. Popp, Mathematical Models in Cavity Flow Theory (in Romanian). Technical Publishing House, Bucharest, 1985.
• [10] A.V. Potashev, N.B. Il'inskiy, A.M. Elizarov. Inverse Boundary Value Problems of Aerohydrodynamics (in Russian). Ed. Fiz. Mat., Moscow, 1994.
• [11] B.N. Pshenichny, Y.M. Danilin. Numerical Methods in Extremal Problems. Mir Publishers, Moscow, 1978.