Technical Papers
Mar 15, 2012

Conservation Issues for Reynolds-Averaged Navier-Stokes–Based Rotor Aeroelastic Simulations

Publication: Journal of Aerospace Engineering
Volume 25, Issue 2

Abstract

Aeroelastic simulations that are computed by coupling separate computational fluid dynamics (CFD) and computational structural dynamics (CSD) codes will include not only numerical errors in both the CFD and CSD methods, but also errors associated with the data exchange among the codes of the aerodynamic loads and moments and structural deflections. Whereas the numerical errors associated with the data interface have been investigated and quantified for fixed-wing applications, their effect has not been quantified for rotational applications, such as rotors and wind turbines, in which rigid body degrees of freedom cannot be separated from flexible motion of the blades. This paper provides a systematic analysis of the numerical errors introduced by the data interface for high-aspect ratio blades undergoing multibody dynamic motion including rotation. It is demonstrated that the failure to consider conservation of work or energy during the CFD-CSD data exchange can lead to a shift in the mean loading as observed for fixed-wing applications and an alteration of the controls necessary to achieve rotor trim affecting the rotor performance prediction. Various techniques to obtain minimal data transfer errors on a given grid are examined. Data transfer on unstructured CFD meshes appear to be more sensitive than the process on structured CFD meshes.

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References

Abras, J. N., Lynch, C. E., Smith, M. J. (2012). “Computational fluid dynamics-computational structural dynamics rotor coupling using an unstructured Reynolds-averaged Navier-Stokes methodology.” J. Am. Helicopter Soc.JHESAK, 57(1), 1–14.
Abras, J. N., Smith, M. J., and Bauchau, O. A. (2006). “Rotor airload predictions using coupled finite element and free wake methods.” Proc., 62nd Annual Forum (CD-ROM), American Helicopter Society, Alexandria, VA, 625–640.
Ahrem, R., Beckert, A., and Wendland, H. (2006). “A meshless spatial coupling scheme for large-scale fluid-structure-interaction problems.” CMESCMESCE, 12(2), 121–136.
Aminpour, M., Pageau, S., and Shin, Y. (2001). “Improved interface modeling technology.” AIAA-2001-1548, 42nd AIAA/ASME/ASC/AHS/AASC Structures, Structural Dynamics, and Materials Conf. & Exhibit, American Institute of Aeronautics and Astronautics (AIAA), Reston, VA.
Ananthan, S., and Baeder, J. (2008). “Prediction and validation of loads on bearingless rotors using a coupled CFD-CSD methodology.” Proc., 64th Annual Forum, American Helicopter Society, Alexandria, VA, 188–217.
Bauchau, O. A., and Ahmad, J. U. (1996). “Advanced CFD and CSD methods for multidisciplinary applications in rotorcraft problems.” AIAA-1996-4151, 6th NASA and ISSMO Symp. on Multidisciplinary Analysis and Optimization, American Institute of Aeronautics and Astronautics (AIAA), Reston, VA.
Bauchau, O. A., Bottasso, C. L., and Nikishkov, Y. G. (2001). “Modeling rotorcraft dynamics with finite element multibody procedures.” Math. Comput. Modell.MCMOEG, 33(10–11), 1113–1137.
Beaumier, P., Costes, M., Rodriguez, B., Poinot, M., and Cantaloube, B. (2005). “Weak and strong coupling between the ElsA CFD solver and the HOST helicopter comprehensive code.” Proc., 31st European Rotorcraft Forum, Curran Associates, Red Hook, NY, 106.1–106.10.
Beniot, B., Dequin, A., Kampa, K., Grunhagen, W., Basset, P., and Gimonet, B. (2000). “HOST, a general helicopter simulation tool for Germany and France.” Proc., 56th Annual Forum, American Helicopter Society, Alexandria, VA.
Bhagwat, M., Ormiston, R., Hossein, S., and Xin, H. (2007). “Application of CFD/CSD coupling for analysis of rotorcraft airloads and blade loads in maneuvering flight.” Proc., 63rd Annual Forum, 3, American Helicopter Society,Alexandria, VA, 2048–2077.
Bir, G., Chopra, I., and Nguyen, K. (1990). “Development of UMARC (Univ. of Maryland advanced rotorcraft code).” Proc., 46th Annual Forum, American Helicopter Society, Alexandria, VA, 55–78.
Conte, S. D., and de Boor, C. (1980). Elementary numerical analysis: An algorithmic approach, McGraw-Hill, New York.
Datta, A., Nixon, M., and Chopra, I. (2007). “Review of rotor loads prediction with the emergence of rotorcraft CFD.” J. Am. Helicopter Soc.JHESAK, 52(4), 287–317.
Duchon, J. (1976). “Fonctions-spline energie invariante par rotation.” Technical Rep, R. R. No. 27, Univ. of Grenoble, Grenoble, France.
Farhat, C., and Lesoinne, M. (1998). “A conservative algorithm for exchanging aerodynamic and elastodynamic data in aeroelastic systems.” AIAA-98-0515, 36th Aerospace Sciences Meeting and Exhibit, American Institute of Aeronautics and Astronautics (AIAA), Reston, VA.
Farhat, C., Lesoinne, M., and LeTallec, P. (1998). “Load and motion transfer algorithms for fluid/structure interaction problems with non-matching discrete interfaces: Momentum and energy conservation, optimal discretization and application to aeroelasticity.” Comput. Methods Appl. Mech. Eng.CMMECC, 157(1-2), 95–114.
Hardy, R., L. (1971). “Multiquadric equations of topography and other irregular surfaces.” J. Geophys. Res.JGREA2, 76(8), 1905–1915.
Johnson, W. (1998). “Rotorcraft dynamic models for a comprehensive analysis.” Proc., 54th Annual Forum, American Helicopter Society, Alexandria, VA, 452–471.
Kansa, E. J. (1990). “Multiquadrics—a scattered data approximation scheme with applications to computational fluid dynamics i: Surface approximations and partial derivative estimates.” Comput. Math. Appl.CMAPDK, 19(8–9), 127–145.
Kunz, D. L. (2005). “Comprehensive rotorcraft analysis: Past, present and future.” Proc., 46th Structures, Structural Dynamics and Materials Conf., American Institute of Aeronautics and Astronautics (AIAA), Reston, VA, 4402–5512.
Lynch, C. E. (2010). “Advanced CFD methods for wind turbine analysis.” Ph.D. dissertation, Georgia Institute of Technology, Atlanta.
Ormiston, R., Potsdam, M., and Yeo, H. (2010). “Application of CFD/CSD to rotor aeroelastic stability in forward flight.” Proc., 62nd Annual Forum (CD-ROM), American Helicopter Society, Alexandria, VA.
Saberi, H., Khoshlahjeh, M., Ormiston, R. A., and Rutkowski, M. J. (2004). “Overview of RCAS and application to advanced rotorcraft problems.” Proc., Int. 4th Decennial Specialists’ Conf. on Aeromechanics, American Helicopter Society, Alexandria, VA, 741–781.
Shelton, A., Braman, K., Smith, M. J., and Menon, S. (2006). “Improved turbulence modeling for rotorcraft.” Proc., 62nd Annual Forum (CD-ROM), American Helicopter Society, Alexandria, VA.
Smith, M. J. (1994). “A fourth-order Euler/Navier-Stokes prediction method for the aerodynamics and aeroelasticity of hovering rotor blades.” Ph.D. dissertation, Georgia Institute of Technology, Atlanta.
Smith, M. J., Cesnik, C. E. S., and Hodges, D. H. (2000a). “An evaluation of computational algorithms suitable for fluid structure interactions.” J. Aircr.JAIRAM, 37(2), 282–294.
Smith, M. J., Hodges, D. H., and Cesnik, C. E. S. (2000b). “An evaluation of algorithms suitable for data transfer between noncontiguous meshes.” J. Aerosp. Eng.JAEEEZ, 13(2), 52–58.
Zaki, A., Reveles, N., Smith, M. J., and Bauchau, O. A. (2010). “Application of CFD/CSD to rotor aeroelastic stability in forward flight.” 66th Annual Forum, American Helicopter Society, Alexandria, VA.

Information & Authors

Information

Published In

Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 25Issue 2April 2012
Pages: 217 - 227

History

Received: Oct 23, 2009
Accepted: Mar 7, 2011
Published online: Mar 15, 2012
Published in print: Apr 1, 2012

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Authors

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Marilyn J. Smith [email protected]
Associate Professor, Daniel Guggenheim School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0150. E-mail: [email protected]

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