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Non-inertial multiblock Navier-Stokes calculation for hovering rotor flowfields using relative velocity approach

Published online by Cambridge University Press:  04 July 2016

B. Zhong and
N. Qin
B. Zhong
Affiliation:
Centre for Computational Aerodynamics Cranfield University, College of Aeronautics Bedford, UK
N. Qin
Affiliation:
Centre for Computational Aerodynamics Cranfield University, College of Aeronautics Bedford, UK
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Abstract

A three dimensional Navier-Stokes solver is presented for calculating the hovering rotor flowfield using Osher's approximate Riemann solver. The Navier-Stokes equations are recast in the attached blade relative system using relative flow velocities as variables. Multiblock techniques are used to obtain a structured grid around the blade. A modified MUSCL scheme is proposed to alleviate the inaccuracy in the discretisation of the relative variable formulation. The calculations are performed for a two-bladed model rotor on C-H, O-O and C-H cylindrical grid topologies respectively. Computational solutions show reasonably good agreement with the experimental data for different lifting cases. The difficulty and suitability of different grid topologies for capturing the tip vortex is illustrated. The differences between Euler and Navier-Stokes solutions and between wake modelling and wake capturing approaches are also revealed. The results indicate that the relative velocity approach can give reasonable results for hovering rotor flowfields if due care is taken in minimising possible numerical errors.

Information

Type
Research Article
Information
The Aeronautical Journal , Volume 105 , Issue 1049 , July 2001, pp. 379 - 389
Copyright
Copyright © Royal Aeronautical Society 2001 

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References

1. Roberts, T.W. and E.M., Murman Solution method for a hovering helicopter rotor using the Euler equations, AIAA Paper 85-0436, 1985.Google Scholar
2. Chang, I-Chung and Tung, C. Euler solution of the transonic flow for a helicopter rotor, AIAA Paper 87-0523, 1987.Google Scholar
3. Agarwal, R.K. and Deese, J.E. Euler calculations for flowfield of a helicopter rotor in hover. J Aircr, 1987, 24, (4).Google Scholar
4. Srinivansan, G.R. and Mccroskey, W.J. Navier-Stokes calculations of hovering rotor flowfields, y Aircr, 1988, 25, (10).Google Scholar
5. Agarwal, R.K. and Deese, J.E. Euler/Navier-Stokes calculations of the flowfield of a helicopter rotor in hover and forward flight. Applied Computational Aerodynamics, 1990, Hennr, P.A. (Ed)Google Scholar
6. Srinivansan, G.R., Baeder, J.D., Obayashi, S. and Mccroskey, W.J. Flowfield of a lifting hovering rotor - a Navier-Stokes simulation, AIAA J, 1992,30, (10).Google Scholar
7. Ahmad, J., and Duque, E.P.N. Helicopter rotor blade computation in unsteady flows using moving overset grids. J. Aircr, 1996, 33, (1).Google Scholar
8. Berkman, M.E. and Sankar, L.N. Navier-Stokes/full potential/free-wake method for rotor flows, J Aircr, 1997. 34, (5).Google Scholar
9. Hariharan, N. and Sankar, L.N. A review of computational techniques for rotor wake modelling, AIAA Paper 2000-0114, 2000.Google Scholar
10. Caradonna, F.X. Developments and challenges in rotorcraft aerodynamics, AIAA Paper 2000-0109, 2000.Google Scholar
11. Boniface, J.C. and Pahlke, K. Calculations of multibladed rotors in forward flight using 3D Euler methods of DLR and ONERA, 22nd European Rotorcraft Forum, Paper No 58, 1996.Google Scholar
12. Rouzaud, O., Raddatz, J. and Boniface, J.C. Euler calculations of multibladed rotors in hover by DLR and ONERA methods and comparison with helishape tests, American Helicopter Society 53rd Annual Forum, 1997.Google Scholar
13. Wagner, S. On the numerical prediction of rotor wakes using linear and non-linear methods, AIAA Paper 2000-0111. 2000.Google Scholar
14. Allen, C.B. and Jones, D.P. Parallel implementation of an upwind Euler solver for hovering rotor flows. Aeronaut J, 1999, 103, (1021), pp 129–138.Google Scholar
15. Allmaras, S.R. Contamination of laminar boundary layer by artificial dissipation in Navier-Stokes solutions, 7-10 April. 1992, pre-print form ICFD conference on numerical methods for fluid dynamics, Reading.Google Scholar
16. Qin, N. and Foster, G.W. Study of flow interactions due to a supersonic lateral jet using high resolution Navier-Stokes solutions, AIAA J, Spacecraft and Rockets, 1996. 33, (5), pp. 651–656.Google Scholar
17. Qin, N., Ludlow, D.K., Shaw, S.T., Edwards, J.A. and Dupuis, A. Calculation of pitch damping coefficients for projectiles, AIAA Paper 97-0405,January 1997.Google Scholar
18. Prince, S.A. Aerodynamics of High Speed Aerial Weapons, 1999, PhD dissertation, Cranfield College of Aeronautics.Google Scholar
19. Osher, S. and Chakravarthy, S. Upwind schemes and boundary conditions with applications to Euler equations in general coordinates, J Computational Physics, 1983, 50, pp 447–481.Google Scholar
20. Kräme, E. Hertel, J. and Wagner, S. Euler procedure for calculation of the steady rotor flow with emphasis on wake evolution, AIAA 90-3007-CP, 1990.Google Scholar
21. Kroll, N. Berechnung von Strömungsfeldern urn Propeller und Rotoren im Schwebeflug durch die Lösung der Euler-Gleichungen, 1989, DLR-FB 89-37.Google Scholar
22. Baldwin, B.S. and Lomax, H. Thin-layer approximation and algebraic model for separated turbulent flows, AIAA 78-257, 1978.Google Scholar
23. van leer, B. Upwind difference methods for aerospace problems governed by the Euler equation, lecture note in Applied Mathematics, 1985, 22, Part II, pp 327–336.Google Scholar
24. Prince, S.A., Qin, N. and Ludlow, D.K. Phantom vorticity in Euler solution on highly stretched grids, 1CAS 2000-0.2, 2000 Google Scholar
25. Anderson, W., Thomas, J. and van leer, B. A comparison of finite volume flux vector splitting for the Euler equations, AIAA J, 1986, 24, (9).Google Scholar
26. Caradonna, F.X. and Tung, C. Experimental and analytical studies of a model helicopter rotor in hover, NASA TM 181232, 1981.Google Scholar
27. Qin, N. and Zhu, Y. Grid adaptation for shock/turbulent boundary layer interaction, AIAA J, 1999, 37, (9), pp 1129–1131.Google Scholar