Recursive numerical algorithm for conformal mapping in two-dimensional hydrodynamics

AIAA Journal

Volumn 34, Issue 10, 1996, Pages 2014-2020

  Rabinovich, Boris I ^a,c   Tyurin, Yury V ^a,c   Livshits, Arkady A ^b,d   Leviant, Alexander S ^a,c  

^a Res Indust Assoc HYDROTRUBOPROVOD   (Russian Federation)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^c Faculty of Aerospace Engineering ^*

^d Faculty of Aerospace Engineering

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; HYDRODYNAMICS; MAPPING;

EID: 0030467098     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/3.13347     Document Type: Article

References (25)

1. Theodorsen, T., "Theory of Wing Sections of Arbitrary Shape," NACA TR 411, 1931.
2. Theodorsen, T., and Garrick, I. E., "General Potential Theory of Arbitrary Wing Sections," NACA TR 452, 1940.
3. Symm, G., "An Integral Equation Method in Conformal Mapping," Numerische Mathematik, Bd. 9, 1966, pp. 250-258.
4. Trefethen, L. N., "Numerical Computation of the Schwarz-Christoffel Transformation," SIAM Journal on Scientific and Statistical Computing, Vol. 14, 1986, pp. 435-446.
5. Wegmann, R., "An Iterative Method for Conformal Mapping," Journal of Computational and Applied Mathematics, Vol. 14, 1986, pp. 7-18.
6. Wegmann, R., "An Iterative Method for the Conformal Mapping of Doubly Connected Regions," Journal of Computational and Applied Mathematics, Vol. 14, 1986, pp. 79-98.
7. Trefethen, L. N. (ed.), "Numerical Conformal Mapping," Journal of Computational and Applied Mathematics, Special Issue, Vol. 14, 1986.
8. Kamgnia, E., and Sameh, A., "A Fast Elliptic Solver for Simply Connected Domains," Computer Physics Communications, Vol. 55, No. 1, 1989, pp. 43-69.
9. Choi, D. H., and Landweber, L., "Inviscid Analysis of Two-Dimensional Airfoils in Unsteady Motion Using Conformal Mapping," AIAA Journal, Vol. 28, No. 12, 1990, pp. 2025-2033.
10. Dumitrescu, L. Z., "Flow Near the Trailing Edge of an Airfoil," AIAA Journal, Vol. 30, No. 4, 1992, pp. 865-870.
11. Kang, T. S., and Leal, L. G., "Orthogonal Grid Generation in a 2D Domain via the Boundary Integral Technique," Journal of Computational Physics, Vol. 102, No. 1, 1992, pp. 78-87.
12. Moretti, G., "Orthogonal Grids Around Difficult Bodies," AIAA Journal, Vol. 30, No. 4, 1992, pp. 933-938.
13. Rabinovich, B. I., and Tyurin, Y. V., "On a Recursive Numerical Method in Conformal Mapping," Soviet Mathematical Doklady, Vol. 28, No. 2, 1983, pp. 415-418.
14. Rabinovich, B. I., and Tyurin, Y. V., "A Recursive Numerical Method in the Conformal Mapping of Doubly Connected Regions onto a Circular Annulus," Soviet Mathematical Doklady, Vol. 28, No. 2, 1983, pp. 447-450.
15. Rabinovich, B. I., Lebedev, V. G., and Mytarev, A. I., Vortex Processes and Solid Body Dynamics. The Dynamic Problems of Spacecrafts and Magnetic Levitation Systems, Kluwer, Dordrecht, The Netherlands, 1994.
16. Rabinovich, B. I., and Tyurin, Y. V., "Numerical Solution Method for Plane Problems of Elasticity Based on the RT-Algorithm of Conformal Mapping," Izvestiia, Mekhanika Tverdogo Tela, Vol. 22, No. 2, 1987, pp. 104-112.
17. Livshits, A., "Numerical Solution of the Torsion Problem for Isotropic and Anisotropic Beams, Having Non-Trivial Cross-Section Shapes," Proceedings of the 24th Israel Conference on Mechanical Engineering, Technion, Haifa, Israel, 1992, pp. 1-3.
18. Abramson, H. N. (ed.), "The Dynamic Behavior of Liquids in Moving Containers with Applications to Space Vehicle Technology," NASA SP-106, 1966.
19. Rabinovich, B. I., Introduction to Dynamics of Spacecraft Carrier Rockets, Mashinostroenie, Moscow, 1983 (in Russian).
20. Lavrentiev, M. A., Conformal Mapping, Gostekhizdat, Moscow, Leningrad, 1946 (in Russian).
21. Lavrentiev, M. A., Variation Methods for Boundary Value Problems for Systems of Elleptic Equations, Noordhoff International, Groningen, The Netherlands, 1963.
22. Föppl, L., "Wirbelbewengung Hinter Einen Kreiszylinder," Sitzung Berichte der Bayerischen Academie der Weissenschaften (Math. Physik), 1913, pp. 1-17.
23. Kundu, P. K., Fluid Mechanics, Academic, San Diego, CA, 1990.
24. Dokuchayev, L. V., "On the Attached Moment of Inertia of Liquid in a Cylinder with Ribs Rotating Round Longitudinal Axis," Akademiia Nauk SSSK, Izvestiia, Mekhanika i Mashinostroenie, No. 2, 1964, pp. 23-29 (in Russian).
25. Levyant, A. S., Rabinovich, B. I., and Rabinovich, A. B., "Computation of Seiche Oscillations in Seas of Arbitrary Configuration (Exemplified by the Caspian Sea)" Oceanalogy, Vol. 33, No. 5, 1993, pp. 588-598.