Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-30T16:13:28.888Z Has data issue: false hasContentIssue false
  • English
  • Français

Aeroelastic computations using algebraic grid motion

Published online by Cambridge University Press:  04 July 2016

C. B. Allen
C. B. Allen*
Affiliation:
Department of Aerospace Engineering, University of Bristol, Bristol, UK
Get access Rights & Permissions [Opens in a new window]

Abstract

Coupling an unsteady flow-solver with a structural model offers the opportunity to simulate aeroelastic behaviour of wings and rotor blades. The moving and deforming surfaces resulting from unsteady simulations require deforming meshes during the simulation, and it is common to use simple interpolation of surface displacements and velocities onto the initial undisturbed mesh. However, aeroelastic simulations can result in large displacements and deformations of solid surfaces, and simple interpolation of perturbations results in poor grid quality and possible grid crossover. A new interpolation technique is presented which is still simple in that it is driven solely by surface motion, but represents rotational effects near the solid surface, to maintain grid quality there. Furthermore, the scheme is fully analytic, so is very cheap computationally and results in grid speeds also being available analytically. Results, in terms of unsteady grid motion and flow solution, show the scheme to be effective and efficient.

Type
Research Article
Information
The Aeronautical Journal , Volume 106 , Issue 1064 , October 2002 , pp. 559 - 570
Copyright
Copyright © Royal Aeronautical Society 2002 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Weeratunoa, S.K. and Pramono, E. Direct coupled aeroelastic analysis through concurrent implicit time integration on a parallel computer, 1994, AIAA Paper 94-1550, 35th Structures, Structural Dynamics and Materials Conference, South Carolina.Google Scholar
2. Farhat, C., Lesoinne, M., Chen, P.S. and Lanteri, S. Parallel heterogeneous algorithms for the solution of three-dimensional transient coupled aeroelastic problems, 1995, AIAA Paper 95-1290, Proceedings of AIAA/ASME/ASCE/AHS Structures, Structural Dynamics and Materials Conference, New York, 1995, pp1146–1160.Google Scholar
3. Piperno, S., Farhat, C. and Larroutorou, B. Partitioned procedures for the transient solution of coupled aeroelastic problems, Comp Meth in App Mech and Eng, June 1995, 124, pp 79–112.Google Scholar
4. Gaitonde, A.L. A Dual-time method for the solution of the unsteady Euler equations, Aeronaut J, Oct 1994, 98, (978) pp 283–291.Google Scholar
5. Allen, C.B. Central-difference and upwind biased schemes for steady and unsteady Euler aerofoil flows, Aeronaut J, Feb 1995, 99, (978), pp 52–62.Google Scholar
6. Gaitonde, A.L. and Fiddes, S.P. A comparison of a cell-centre method and a cell-vertex method for the solution of the 2D unsteady Euler equations on a moving grid, IMechE J Aero Eng, Part G3,1995, 209, pp 203–214.Google Scholar
7. Allen, C.B. The reduction of numerical entropy generated by unsteady Shockwaves, Aeronaut J, Jan 1997, 101, (1001), pp 9–16.Google Scholar
8. Allen, C.B. Grid adaptation for unsteady flow computations, IMechE. J Aero Eng, Part G4, 1997, 211, pp 237–250.Google Scholar
9. Hounjet, M.H.L., Allen, C.B., Vigevano, L., Gasparini, L. and Pagano, A. GEROS: A European grid generator for rotorcraft simulation methods, Proceedings of Sixth International Conference on Numerical Grid Generation in Computational Field Simulations, London, July 1998, pp 813–822.Google Scholar
10. D’Alascio, A., Dubuc, L., Peshkin, D., Vigevano, L., Allen, C.B., Pagano, A., Salvatore, F., Boniface, J-C., Hounjet, M.H.L., Kroll, N, Scholl, E., Kokkalis, A. and Righi, M. First results of the EROS European unsteady Euler code on overlapping grids, presented at ECCOMAS 98 Conference, Athens, Sept 1998.Google Scholar
11. Renzoni, P., D’Alascio, A., Kroll, N., Peshkin, D., Hounjet, M.H.L., Boniface, J-C., Vigevano, L., Morino, L., Allen, C.B., Dubuc, L., Righi, M., Scholl, E. and Kokkalis, A. EROS: A European Euler code for helicopter rotor simulations, J Progress in Aerospace Sci, 2000.Google Scholar
12. Allen, C.B. CHIMERA Volume grid generation within the EROS code, IMechE J Aero Eng, Part G, 2000.Google Scholar
13. Dubuc, L. ET AL Solution of the unsteady Euler equations using an implicit dual time method, AIAA J, 1998, 36, pp 1417–1424.Google Scholar
14. Webster, R.S., Chen, J.P. and Whitfield, D.L. Numerical solution of a helicopter rotor in hover and forward flight, Jan 1995, AIAA Paper 95-0193, Reno.NVGoogle Scholar
15. Pahlke, K. and Raddatz, J. 3D Euler methods for multibladed rotors in hover and forward flight, Sept 1993, Paper 20, 19th European Rotorcraft Forum, Cernobbio (Como), Italy.Google Scholar
16. Boniface, J.-C., Mialon, B. and Sides, J. Numerical simulation of unsteady Euler flow around multibladed rotor in forward flight using a moving grid approach, May 1995, American Helicopter Society 51st Forum, Fort Worth, TX.Google Scholar
17. Wagner, S., Altmikus, A.R.M., Hablowetz, T. and Well, K.H. On the accuracy of modular aeroelastic methods applied to fixed and rotary wings, August 2000, AIAA Paper 2000-4224, Proceedings of Applied Aerodynamics Conference, Denver, CO, pp 436–449.Google Scholar
18. Buchtala, B., Wehr, D. and Wagner, S. Coupling of aerodynamic and dynamic methods for the calculation of helicopter rotors in forward flight. Sept 1997,23rd European Rotorcraft Forum, Dresden, pp 5.1–5.12.Google Scholar
19. Allen, C.B. Efficient use of an upwind Euler code for multi-bladed rotor design June 1999, AIAA Paper 99-3227, Proceedings of 17th AIAA Applied Aerodynamics Conference, Norfolk, VA, pp 830–840.Google Scholar
20. Batina, J.T. Unsteady Euler airfoil solutions using unstructured dynamic meshes, Jan 1989, AIAA Paper 89-0115, Reno, NV.Google Scholar
21. Batina, J.T. Unsteady Euler algorithm with unstructured dynamic mesh for cornplex-aircraft aerodynamic analysis, AIAA J, March 1991, 29, (3), pp327–333.Google Scholar
22. Nakahashi, K. and Deiwert, G.S. Self-adaptive-grid method with application to airfoil flow, AIAA J, 1987, 25, pp 513–520.Google Scholar
23. Prananta, B.B., Hounjet, M.H.L. and Zwaan, R.J. A thin-layer Navier- Stokes solver and its applications for aeroelastic analysis of an aerofoil in transonic flows, June 1995, Proceedings of 1995 International Forum on Aeroelasticity and Structural Dynamics, London, pp 15.1–15.15.Google Scholar
24. Prananta, B.B. and Hounjet, M.H.L. Aeroelastic simulation with advanced CFD methods in 2D and 3D transonic flow June 1996, Proceedings RAeS conference on Unsteady Aerodynamics, London.Google Scholar
25. Gordon, W.J. and Hall, C.A. Construction of curvilinear coordinate cystems and applications of mesh generation, 1973, Int J Num Methods in Eng, 7, pp 461–477.Google Scholar
26. Eriksson, L.E. Generation of boundary-bonforming grids around wingbody configurations using transfinite interpolation, 1982, AIAA J, 20, (10), pp 1313–1320.Google Scholar
27. Thompson, J.F. A General three dimensional elliptic grid generation system on a composite block-structure, 1987, Comp Meth in App Mech and Eng, 64, pp 377–411.Google Scholar
28. AGARD, Compendium of unsteady aerodynamic measurements, AGARD-R-720, 1982.Google Scholar
29. Van-Leer, B. Flux-vector splitting for the Euler equations, Lecture Notes in Physics, 1982, 170, pp 507–512.Google Scholar
30. Parpia, I.H., Van-Leer flux-vector splitting in moving coordinates, AIAA J, Jan 1988, 26, ppl 13–115.Google Scholar
31. Anderson, W.K. Thomas, J.L. and Van-Leer, B. Comparison of finite volume flux vector splittings for the Euler equations, AIAA J, Sept 1986, 24, pp 1453–1460.Google Scholar
32. Jameson, A. Time dependent calculations using multigrid, with applications to unsteady flows past airfoils and wings, AIAA Paper 91-1596. 29th AIAA Aerospace Sciences Meeting, Reno, NV.Google Scholar
33. Thomas, P.D. and Lombard, C.K. Geometric conservation law and its application to flow computations on moving grids, AIAA J, Oct 1979, 17, pp 1030–1037.Google Scholar