Multiple‐Zone Potential Solution around Wing‐Body Configurations
Publication: Journal of Aerospace Engineering
Volume 6, Issue 4
Abstract
An existing computer code to solve a supersonic potential equation around three‐dimensional configurations was modified. Using a generalized boundary‐conforming coordinate system, a full potential equation in conservation form was upwind differenced in supersonic direction. Grids were generated in each two‐dimensional cross‐flow plane using the algebraic method. A new topology for grid generation produced appropriate grids around thin wings and wing bodies. Usage of orthogonal grid generation in cross‐flow plane improved results and extended the various cases that can be handled by the code. A zonal flow field solution was obtained using a new method for the implementation of boundary conditions at wing locations on boundaries of each zone. Approximate factorizations were used to solve the resulting equations implicitly. Using these capabilities thin‐wing and wing‐body results are presented that compare well with other results. The capability of running this code on microcomputers makes this program a potentially valuable design tool in primary and middesign stages.
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References
1.
Alishahi, M. M., and Razavi, A. (1990). “Numerical solution of three dimensional supersonic flow over bodies using boundary conforming grid.” Iranian J. Sci. Tech., 16(1), 77–94.
2.
Grossman, B. (1979). “Numerical procedure for the computation of irrotational conical flows.” AIAA J., 17(8), 828–837.
3.
Karimian, S. M. H. (1990). “Numerical solution of full potential transonic equation about arbitrary airfoils,” MS thesis, Sharif Univ. of Tech., Tehran, Iran.
4.
Priolo, F. J., and Wardlaw, A. B. Jr. (1989). “Supersonic noncircular missile computations.” J. Spacecraft and Rockets, 26(3), 151–157.
5.
Rai, M. M. (1984). “A conservative treatment of zonal boundaries for Euler equations.” AIAA Paper 84‐0164, American Inst. of Aeronautics and Astronomics, New York, N.Y.
6.
Roache, P. J. (1979). Computational fluid dynamics. Hermosa Publishing Co., Albuquerque, N.M.
7.
Savin, R. C. (1958). “Approximate solutions for the flow about flat‐top wing body configurations at high supersonic airspeeds.” NACA RM A58F02.
8.
Shankar, V. (1982). “Conservative full potential, implicit marching scheme for supersonic flows.” AIAA J., 20(11), 1508–1514.
9.
Siclari, M. J. (1980). “Investigation of crossflow shocks on delta wings in supersonic flow.” AIAA J., 18(1), 85–93.
10.
Siclari, M. J. (1985). “Approximate factorization schemes for three‐dimensional nonlinear supersonic potential flow.” AIAA J., 23(1), 14–22.
11.
Szema, K. Y., Riba, W. L., Shankar, V., and Gorski, J. J. (1985). “Computation of supersonic flows over three‐dimensional configurations.” J. Aircraft, 22(12), 1079–1084.
12.
Thompson, J. F., Warsi, Z. U. A., and Mastin, C. W. (1982). “Boundary‐fitted coordinate systems for numerical solution of partial differential equations—A review.” J. of Comput. Physics, 47, 1–108.
13.
Thompson, J. F., Warsi, Z. U. A., and Mastin, C. W. (1985). Numerical grid generation, foundations and applications. North Holland, New York, N.Y.
14.
Wardlaw, A. B. Jr., Solomon, J. M., and Baltakis, F. P. (1981). “Supersonic inviscid flow field computations of missile type bodies.” AIAA J., 19(7), 899–906.
15.
Wardlaw, A. B. Jr., Solomon, J. M., and Baltakis, F. P. (1986). “Euler space marching methods applied to missiles.” Tactical Missile Aerodynamics, M. J. Hemsch and J. N. Nielsen, eds., American Inst. of Aeronautics and Astronautics, New York, 669–722.
Information & Authors
Information
Published In
Journal of Aerospace Engineering
Volume 6 • Issue 4 • October 1993
Pages: 329 - 346
Copyright
Copyright © 1993 American Society of Civil Engineers.
History
Received: Nov 1, 1991
Published online: Oct 1, 1993
Published in print: Oct 1993
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