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Impingement of Supercooled Large Droplets via Reduced Order Models
Technical Paper
2011-38-0013
ISSN: 0148-7191, e-ISSN: 2688-3627
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English
Abstract
The high computational cost of 3-D viscous turbulent aero-icing simulations is one of the main limitations to address in order to more extensively use computational fluid dynamics to explore the wide variety of icing conditions to be tested before achieving aircraft airworthiness. In an attempt to overcome the computational burden of these simulations, a Reduced Order Modeling (ROM) approach, based on Proper Orthogonal Decomposition (POD) and Kriging interpolation techniques, is applied to the computation of the impingement pattern of supercooled large droplets (SLD) on aircraft. Relying on a suitable database of high fidelity full-order simulations, the ROM approach provides a lower-order approximation of the system in terms of a linear combination of appropriate functions. The accuracy of the resulting surrogate solution is successfully compared to experimental and CFD results for sample 2-D problems and then extended to a typical 3-D case.
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Citation
Fossati, M., Habashi, W., and Baruzzi, G., "Impingement of Supercooled Large Droplets via Reduced Order Models," SAE Technical Paper 2011-38-0013, 2011, https://doi.org/10.4271/2011-38-0013.Also In
References
- Petty, K.R. Floyd, C.D.J. “A statistical review of aviation airframe icing accidents in the US” Proc 11th Conference on Aviation Range and Aerospace October 2004
- Langmuir, I. Blodgett, K.B. A mathematical Investigation of Water Droplet Trajectories Army Air Forces Technical Report No. 5418 1946
- Wright, W.B. Potapczuk, M.G. “Semiempirical modelling of sld physics” Proc 42nd AIAA Aerospace Sciences Meeting and Exhibit Reno, NV January 2004
- Schmel, R. “Advanced Modeling of Droplet Deformation and Breakup for CFD Analysis of Mixture Preparation” ILASS-Europe 2002 Zaragoza 9 11 September 2002
- Papadakis, M. Rachman, A. Wong, S. Yeong, H. Kuohsing, E. Giao, T. Bidwell, C.S. “Water Droplet Impingement on Simulated Glaze, Mixed, and Rime Ice Accretions” NASA/TM2007-213961 2007
- Papadakis, M. Rachman, A. Wong, S. Bidwell, C. et al. “An Experimental Investigation of SLD Impingement on Airfoils and Simulated Ice Shapes,” SAE Technical Paper 2003-01-2129 2003 10.4271/2003-01-2129
- Hospers, J.M. Hoeijmakers, H.W.M. “Numerical simulation of SLD ice accretion” 27th international congress of the aeronautical science 2010
- Habashi, W. G. “Recent Advances in CFD for In-Flight Icing Simulations” Journal of Japan Society of Fluid Mechanics 28 99 118 2009
- Bourgault, Y. Habashi, W.G. Dompierre, J. Baruzzi, G.S. “A finite element method study of Eulerian droplets impingement models” International Journal for Numerical Methods in Fluids 29 429 449 1999
- Bourgault, Y. Beaugendre, H. Habashi, W.G. “Development of a shallow-water icing model in FENSAP-ICE” Journal of Aircraft 37 640 646 2000
- Lucia, D.J. Beran, P. S. Silva, W.A. “Reduced-order modeling: new approaches for computational physics” Progress in Aerospace Sciences 40 51 117 2004
- Bui-Thanh, T. Damodaran, M. Willcox, K. “Proper orthogonal decomposition extensions for parametric applications in transonic aerodynamics” AIAA Paper 2003-4213, 21st AIAA Applied Aerodynamics Conference Orlando, Florida 2003
- Chatterjee, A. “An introduction to the proper orthogonal decomposition” Current Science 78 808 817 2000
- Everson, R. Sirovich, L. “Karhunen-Love Procedure for Gappy Data” Journal of the Optical Society of America A-Optics Image Science and Vision 12 1657 1664 1995
- Ly, H.V. Tran, H.T. “Modeling and control of physical processes using proper orthogonal decomposition” Mathematical and Computer Modeling 33 223 236 2001
- Ravindran, S.S. “A reduced-order approach for optimal control of fluids using proper orthogonal decomposition” International Journal for Numerical Methods in Fluids 34 425 448 2000
- Nakakita, K. Habashi, W. G. Nadarajah, S. “Toward real-time aero-icing simulation using reduced order models” Journal of Aircraft 47 96 109 2010
- Lappo, V. Habashi, W.G. “POD/Kriging approximations of multi-disciplinary CFD simulation with application to in-flight icing” 17 th CFDSC conference Ottawa May 2009
- Mifsud, M. J. Shaw, S. T. MacManus, D. G. “A high-fidelity low-cost aerodynamic model using proper orthogonal decomposition” International Journal of Bifurcation and Chaos 2009
- Statnikov, R.B. Matusov, J.B. “Multicriteria Optimization and Engineering” Chapman and Hall New York 1995
- Iollo, A. “Remarks on the approximation of the Euler equations by a low order model” INRIA-RR 3329 1997
- Vigo, G. La décompositions orthogonale propre appliquée aux équations de Navier-Stokes compressible instationnaire” INRIA-RR 3385 1998
- Holmes, P. Lumley, J. L. Berkooz, G. “Turbulence, Coherent Structures, Dynamical Systems and Symmetry” Cambridge University Press Cambridge 1996
- Sirovich, L. “Turbulence and the dynamics of coherent structures: 1 Coherent structures” Quarterly of Applied Mathematics 45 561 571 1987
- Van Beers, W.C.M. Kleijnen, J.P.C. “Kriging for interpolation in random simulation” Journal of the Operational Research Society 54 255 262 2003
- Jeong, S. Murayama, M. Yamamoto, K. “Efficient optimization design method using Kriging model” Journal of Aircraft 42 413 2005
- Fossati, M. Guardone, A. Vigevano, L. A finite element / finite volume mesh adaptation technique for compressible flows 40th AIAA Fluid dynamics Conference and Exhibit 2010
- Pilch, M. Erdman, C.A. “Use of Breakup Time Data and Velocity History Data to Predict the Maximum Size of Stable Fragments for Acceleration-induced Breakup of a Liquid Drop” Int. J. Multiphase Flow 13 6 1987
- Trujillo, M.F. Mathews, W.S. Lee, C.F. Peters, J.E. “Modeling and experiment of impingement and atomization of a liquid spray on a wall” International journal of engine research 1 1 87 105 2000
- http://www.clumeq.mcgill.ca
- Wright, W.B. User Manual for the NASA Glenn Ice Accretion Code LEWICE, 2.2.2 Final Report, NASA/CR2002-211793