Aerodynamic force evaluation for ice shedding phenomenon using vortex in cell scheme, penalisation and level set approaches

References

• Adams , J. , Swarztrauber , P. and Sweet , R. 1999 . FISHPACK: Efficient FORTRAN subprograms for the solution of separable eliptic partial differential equations Technical report. Available from: http://www.scd.ucar.edu/css/soft ware/fishpack. [Accessed 2 October]
   Google Scholar
• Angot , P. , Bruneau , C.H. and Fabrie , P. 1999 . A penalization method to take into account obstacles in incompressible viscous flows . Numerische Mathematik , 81 ( 4 ) : 497 – 520 .
   Web of Science ®Google Scholar
• Baruzzi , G. 2007 . Development of a shed-ice trajectory simulation in FENSAP-ICE , Seville, Spain : SAE World Aviation Congress and Exposition . SAE technical paper 2007-01-3360
   Google Scholar
• Beaugendre , H. 2011 . Computation of ice shedding trajectories using Cartesian grids, penalization, and level sets . Modelling and Simulation in Engineering , 2011 : 1 – 15 .
   Google Scholar
• Bendat , J.S. and Piersol , A.G. 1986 . “ Chapter 4 ” . In Random data analysis and measurement procedure , New York : John Wiley & Sons, Inc, 74–102 .
   Google Scholar
• Benson , D. 1992 . Computational methods in Lagrangian and Eulerian hydrocodes . Computer Methods in Applied Mechanics and Engineering , 99 : 235 – 394 .
   Web of Science ®Google Scholar
• Bouaziz , M. , Kessentini , S. and Turki , S. 2010 . Numerical prediction of flow and heat transfer of power-law fluids in a plane channel with a built-in heated square cylinder . International Journal of Heat and Mass Transfer , 53 : 5420 – 5429 .
   Web of Science ®Google Scholar
• Breuer , L. 2000 . Accurate computations of the laminar flow past a square cylinder based on two different methods: lattice-Boltzmann and finite-volume . International Journal of Heat and Fluid Flow , 21 : 186 – 196 .
   Web of Science ®Google Scholar
• Cebeci , T. and Kafyeke , F. 2003 . Aircraft icing . Annual Review of Fluid Mechanics , 35 : 11 – 21 .
   Web of Science ®Google Scholar
• Chandrasekharan , R. and Hinson , M. 2003 . Trajectory Simulation of Ice Shed from a Business Jet , Montreal , , Canada : SAE World Aviation Congress and Exposition . SAE technical paper 2003-01-3032
   Google Scholar
• Cocle , R. 2007 . Combining the vortex-in-cell and parallel fast multipole methods for efficient domain decomposition simulations: DNS and LES approaches , Université Catholique de Louvain . Thesis (PhD)
   Google Scholar
• Coquerelle , M. and Cottet , G.H. 2008 . A vortex level set method for the two-way coupling of an incompressible fluid with colliding rigid bodies . Journal of Computational Physics , 227 ( 21 ) : 9121 – 9137 .
   Web of Science ®Google Scholar
• Coquerelle , M. 2006 . A vortex method for bi-phasic fluids interacting with rigid bodies . Cornell University Library, Arxiv preprint math/0607597, 1–15 ,
   Google Scholar
• Cottet , G.H. and Koumoutsakos , P.D. 2000 . Vortex methods: theory and practice , New York : Cambridge University Press .
   Google Scholar
• Cottet , G.H. 2002 . A comparison of spectral and vortex methods in three-dimensional incompressible flows . Journal of Computational Physics , 175 ( 2 ) : 702 – 712 .
   Web of Science ®Google Scholar
• Deschenes , J. 2011 . FENSAP-ICE: a CFD Monte Carlo approach to shed-ice trajectory and impact , Chicago , IL : SAE World Aviation Congress and Exposition . SAE Technical Paper 2011-38-0089. doi:10.4271/2011-38-0089
   Google Scholar
• Farhat , C. , Geuzaine , P. and Grandmont , C. 2001 . The discrete geometric conservation law and the nonlinear stability of ALE schemes for the solution of flow problems on moving grids . Journal of Computational Physics , 174 : 669 – 694 .
   Web of Science ®Google Scholar
• Fedkiw , R.P. 2002 . Coupling an Eulerian fluid calculation to a Lagrangian solid calculation with the ghost fluid method . Journal of Computational Physics , 175 : 200 – 224 .
   Web of Science ®Google Scholar
• Gallizio , F. 2009 . Analytical and numerical vortex methods to model separated flows Thesis (PhD). Politecnico di Torino, INRIA Université de Bordeaux 1
   Google Scholar
• Henry , R. Development of an electrothermal de-icing/anti-icing model . 30th AIAA aerospace sciences meeting and exhibit . 6–9 January .
   Google Scholar
• Intel® Corporation . 2012 . Intel [textregistered] Math Kernel Library Reference Manual [online]. Intel® Corporation. Available from: http://www.intel.com/software/produc ts/mkl/ [Accessed April 2012].
   Google Scholar
• Jacob , J. 2005 . Experimental and computational aerodynamic analysis of ice fragments shed from aircraft surface , Wichita State University . Master's thesis
   Google Scholar
• Kohlman , D.L. and Winn , R.C. Analytical prediction of trajectories of ice pieces after release in an airstream . 39th AIAA aerospace sciences meeting & exhibit, 8–11 January . NV, AIAA Paper 2001-0680
   Google Scholar
• Labeas , G.N. , Diamantakos , I.D. and Sunaric , M.M. 2006 . Simulation of the electroimpulse de-icing process of aircraft wings . Journal of Aircraft , 43 ( 6 ) : 1876 – 1885 .
   Web of Science ®Google Scholar
• Lai , M.C. and Peskin , C. 2000 . An immersed boundary method with formal second-order accuracy and reduced numerical viscosity . Journal of Computational Physics , 60 : 705 – 719 .
   Web of Science ®Google Scholar
• Lepage , C. and Habashi , W. Conservative interpolation of aerodynamic loads for aeroelastic computations. In: 41st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference and Exhibit, 3–06 April, Atlanta, GA . AIAA Paper 2000-1449 .
   Google Scholar
• Lepage , C.Y. and Habashi , W.G. Fluid-Structure interactions using the ALE formulation. 37th AIAA Aerospace Sciences Meeting and Exhibit, 11–14 January, Reno, NV . AIAA Paper No 99-0660 .
   Google Scholar
• Liu , C. , Zheng , X. and Sung , C.H. 1998 . Preconditioned multigrid methods for unsteady incompressible flows . Journal of Computational Physics , 139 ( 1 ) : 35 – 57 .
   Web of Science ®Google Scholar
• Mittal , R. and Iaccarino , G. 2005 . Immersed boundary methods . Annual Review of Fluid Mechanics , 37 : 239 – 262 .
   Web of Science ®Google Scholar
• Monaghan , J.J. 1985 . Extrapolating B splines for interpolation . Journal of Computational Physics , 60 ( 2 ) : 253 – 262 .
   Web of Science ®Google Scholar
• Mukhopadhyay , A. , Biswas , G. and Sundararajan , T. 1992 . Numerical investigation of confined wakes behind a square cylinder in a channel . International Journal of Numerical Methods in Fluids , 14 : 1473 – 1484 .
   Web of Science ®Google Scholar
• Noca , F. , Shiels , D. and Jeon , D. 1999 . A comparison of methods for evaluating time-dependent fluid dynamic forces on bodies, using only velocity fields and their derivatives . Journal of Fluids and Structures , 13 : 571 – 578 .
   Web of Science ®Google Scholar
• Papadakis , M. , Yeong , H.W. and Suares , I.G. Simulation of Ice Shedding from a Business Jet Aircraft . 45th AIAA Aerospace Sciences Meeting and Exhibit, 8–11 January, Reno, NV. AIAA Paper 2007-506 .
   Google Scholar
• Ploumhans , P. and Winckelmans , G.S. 2000 . Vortex methods for high-resolution simulations of viscous flow past bluff bodies of general geometry . Journal of Computational Physics , 165 : 354 – 406 .
   Web of Science ®Google Scholar
• Roache , P.J. 1994 . Perspective: a method for uniform reporting of grid refinement studies . Journal of Fluids Engineering, Transactions of the ASME , 116 ( 3 ) : 405 – 413 .
   Web of Science ®Google Scholar
• Santos , L.C.C. , Papa , R. and Ferrari , M.A.S. A simulation model for ice impact risk evaluation . 41st aerospace sciences meeting & exhibit . January 6–9 .
   Google Scholar
• Scavuzzo , R.J. , Chu , M.L. and Ananthaswamy , V. 1994 . Influence of aerodynamic forces in ice shedding . Journal of Aircraft , 31 ( 3 ) : 526 – 530 .
   Web of Science ®Google Scholar
• Sethian , J. 1996 . Level set methods and fast marching methods: evolving interfaces in computational geometry , Cambridge : Cambridge University Press .
   Google Scholar
• Suares , I.G. 2005 . Ice particle trajectory simulation , Wichita State University . Master's thesis
   Google Scholar
• Thomas , S.K. , Cassoni , R.P. and MacArthur , C.D. 1996 . Aircraft anti-icing and de-icing techniques and modeling . Journal of Aircraft , 33 ( 5 ) : 841 – 854 .
   Web of Science ®Google Scholar
• Yang , W. , Song , B. and Song , W. Numerical study of flapping wing air vehicle based on chimera grid . 47th AIAA Aerospace Sciences Meeting . 5–8 January .
   Google Scholar
• Zhang , S. 2012a . FEM analysis of in-flight ice break-up . Finite Elements in Analysis and Design , 57 : 5 – 66 .
   Web of Science ®Google Scholar
• Zhang , S. Computational modeling of ice cracking and break-up from helicopter blades. In: 4th AIAA Atmospheric and Space Environments Conference, 25–28 June, New Orleans, LA . AIAA paper 2012-2675 .
   Google Scholar