Unconditional Stable Solutions of the Euler Equations for Two and Three-D Wings in Arhitrary Motion

Gao Zhenghong

Volume 16 Issue 12

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Article Navigation > Applied Mathematics and Mechanics > 1995 > 16(12): 1123-1134

Gao Zhenghong. Unconditional Stable Solutions of the Euler Equations for Two and Three-D Wings in Arhitrary Motion[J]. Applied Mathematics and Mechanics, 1995, 16(12): 1123-1134.

Citation:

Gao Zhenghong. Unconditional Stable Solutions of the Euler Equations for Two and Three-D Wings in Arhitrary Motion[J]. Applied Mathematics and Mechanics, 1995, 16(12): 1123-1134.

Citation:

Gao Zhenghong. Unconditional Stable Solutions of the Euler Equations for Two and Three-D Wings in Arhitrary Motion[J]. Applied Mathematics and Mechanics, 1995, 16(12): 1123-1134.

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Unconditional Stable Solutions of the Euler Equations for Two and Three-D Wings in Arhitrary Motion

Gao Zhenghong

Northwestern Polgtechnical Unipersity, Xi'an 710072, P. B. China

Received Date: 1995-01-12
Publish Date: 1995-12-15

Abstract

Abstract

The work presented here shows the unsteady inviscid results obtained for the twoand three-dimensional wings which are in rigid and flexible osciliations.The results are generated by a finite volume Euler method.It is based on theRunge-Kutta time stepping scheme developed by Jameson et al..To increase the timestep which is limited by the stability of Runge-Kutta scheme,the implicit residual smoothing which is modified by using variable coefficients in prerent the loss of flowphysics for the unsteady flows is engaged in the calculations.With this unconditional stable solver the unsteady flws about the wings in arbitrary motion can be received efficiently.The two-and three-dimensional rectangular wings which are in rigid andflexible pitching oscillations in the transonic flow are invesigated here,some of the computational results are compared with the experimental data.The influence of thereduced frequency for the two kinds of the wings are researched.All the results givenin this work are reasonable.
- Euler equations,
- unsteady flow,
- transonic flow,
- CFD

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References(6)

References

[1]	H.W.M.Hoeijmakers,et al..Numerical simulation of vortical flow over a delta wing at subsonic and transonic speed,Pnoceedings of the 17th ICAS Congress in 1990 IC.4S-90-3.3.3(1990).
[2]	A.Jameson,et al.,Numerical Solution of Euler Equations by Finite Volume Methods Using Runge-Kutta Time-Stepping Scheme,ALAA paper 81-1259(1981)
[3]	D.L.Wtitefiled and J.M.Janus,Three-Dimensional Unsteady Euler Equations Solution Using Flux Vector Splitting,.AIAA paper 84-1014(1984)
[4]	H.Hollanders,et al.,Three-Dimensional calculation of transonic viscous flows by an implicity method..AJAA J.23,11(1985).1670-1678.
[5]	P.C.E.Jorgenson,et al..An unconditional stable Runge-Kutta method for unsteady flows.27th Aerospace Sciences Meeting,Reno,Nevade.Jan.9-12(1989)
[6]	Gan Zhenghong,Unconditional Stable Solutions of Unsteady Euler Equations for Rigid and Flexible Oscillating Airfiols FLM-9418.Lehrstuhl fuer Fluid Mechanik,TU Muenchen Deutschslan(1994).

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