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A three-dimensional moving mesh method for the calculation of unsteady transonic flows

Published online by Cambridge University Press:  04 July 2016

A. L. Gaitonde  and
S. P. Fiddes
A. L. Gaitonde
Affiliation:
Department of Aerospace EngineeringUniversity of Bristol, Bristol, United Kingdom
S. P. Fiddes
Affiliation:
Department of Aerospace EngineeringUniversity of Bristol, Bristol, United Kingdom
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Abstract

A three-dimensional moving mesh method for solving the Euler equations describing the compressible flow about a wing undergoing arbitrary motions and deformations is described. A finite-volume formulation is chosen where the volumes distort as the wing moves or deforms. By using transfinite interpolation, a technique for generating the required sequence of grids has been developed. Furthermore, as the speeds of the grid at the vertices of the finite volumes are required by the flow solver, transfinite interpolation is also used to obtain these by interpolation of the boundary speeds. A two-dimensional version of the method has also been developed and results for both two- and three-dimensional transonic flows are presented and compared with experimental data where available.

Type
Research Article
Information
The Aeronautical Journal , Volume 99 , Issue 984 , April 1995 , pp. 150 - 160
Copyright
Copyright © Royal Aeronautical Society 1995 

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References

1. Edwards, J.W. and Malone, J.B. Current status of computational methods for transonic unsteady aerodynamics and aeroelastic applications, Paper 1 in Transonic Unsteady Aerodynamics and Aeroelasticity, AGARD CP-507, 1992.Google Scholar
2. Burt, M. The impact of computational unsteady aerodynamics on aerospace engineering — Past, present and future, Paper 12 in: Proceedings of the 1993 European Forum for Recent Developments and Applications in Aeronautical CFD, RAeS Conference, Bristol 1993.Google Scholar
3. Ballhaus, W.F. and Goorjian, P.M. Implicit finite difference computations of unsteady transonic flows about aerofoils, AIAA J, 1977, 15, (12), pp 1728–1735.Google Scholar
4. Shankar, V., Ide, H., Gorski, J. and Osher, S. A fast time-accurate unsteady full potential scheme, AIAA Paper 85-1512, 1991.Google Scholar
5. Sankar, L.M., Ruo, S.Y. and Malone, J.B. Application of surface transpiration in computational aerodynamics, AIAA Paper 86-0511, 1986.Google Scholar
6. Anderson, W.K., Thomas, J.L. and Rumsey, C.L. Extension and applications of flux-vector splitting to unsteady calculations on dynamic meshes, AIAA Paper 87-1152, 1987.Google Scholar
7. Venkatakrishnan, V. and Jameson, A. Computation of unsteady transonic flows by the solution of Euler equations, AIAA J, 1988, 26, (8), pp 974–981.Google Scholar
8. Steger, L. and Bailey, E. Calculation of transonic aileron buzz, AIAA J, 1980, 18, (3), pp 249–255.Google Scholar
9. Batina, J.T. Unsteady Euler algorithm with unstructured dynamic mesh for complex aircraft aerodynamic analysis, AIAA J, 1991, 29, (3), pp 327–333.Google Scholar
10. Eriksson, L.E. Generation of boundary conforming grids around wing body configurations using transfinite interpolation, AIAA J, 1982, 20, (10), pp 1313–1320.Google Scholar
11. Williams, A.L. and Fiddes, S.P. Moving grid generation using transfinite interpolation, Bristol University Aero Eng Dept Report No 431, 1991.Google Scholar
12. Gaitonde, A.L. and Fiddes, S.P. The generation of three-dimensional moving grids using transfinite interpolation, Bristol University Aero Eng Dept Report No 477, 1993.Google Scholar
13. Gaitonde, A.L. A dual-time method for the solution of the unsteady Euler equations, Aeronaut J, 1994, 98, (978), pp 283–291.Google Scholar
14. Jameson, A., Schmidt, W. and Turkel, E. Numerical solutions of the Euler equations by finite volume methods using Runge-Kutta time stepping schemes, AIAA Paper 81-1259, 1981.Google Scholar
15. Thomas, P.D. and Lombard, C.K. Geometric conservation law and its application to flow computations on moving grids, AIAA J, 1979, 17, (10), pp 1030–1037.Google Scholar
16. Venkatakrishnan, V. Computation of Unsteady Transonic Flows Over Moving Aerofoils, PhD Dissertation, Dept of Mechanical and Aerospace Engineering, Princeton University, 1986.Google Scholar
17. Gaitonde, A.L. and Fiddes, S.P. Developments in the calculation of 2D unsteady flows on structured moving grids, Bristol University Aero Eng Dept Report No 474, 1993.Google Scholar
18. Smith, D.M. and Fiddes, S.P. Efficient parallelisation of implicit and explicit solvers on a MIMD computer, In: Proceedings of Parallel CFD 92, New Brunswick, Springer, 1992.Google Scholar
19. AGARD, Compendium of unsteady aerodynamic measurements, AGARD-R-702, 1982.Google Scholar
20. Mabey, D.G., Welsh, B.L. and Pyne, C.R., Measurements of steady and oscillatory pressures on a rectangular wing, RAE Technical Report TR86040, 1986.Google Scholar
21. AGARD Compendium of unsteady aerodynamic measurements, AGARD-R-702, Addendum 1, 1982.Google Scholar