]. R. References, G. Mittal, and . Iaccarino, Immersed boundary methods, Annu. Rev. Fluid. Mech, vol.37, issue.1, pp.239-261, 2005.

J. T. Rasmussen, G. H. Cottet, and J. H. Walther, A multiresolution remeshed Vortex-In-Cell algorithm using patches, Journal of Computational Physics, vol.230, issue.17, pp.6742-6755, 2011.
DOI : 10.1016/j.jcp.2011.05.006

URL : https://hal.archives-ouvertes.fr/hal-00748050

F. Capizzano, Turbulent wall model for immersed boundary methods, AIAA Journal, vol.49, issue.11

R. Ghias, R. Mittal, and H. Dong, A sharp interface immersed boundary method for compressible viscous flows, Journal of Computational Physics, vol.225, issue.1, pp.528-553, 2007.
DOI : 10.1016/j.jcp.2006.12.007

F. Capizzano and E. Iuliano, A Eulerian Method for Water Droplet Impingement by Means of an Immersed Boundary Technique, Journal of Fluids Engineering, vol.136, issue.4
DOI : 10.1115/1.4025867

F. Sotiropoulos and X. L. Yang, Immersed boundary methods for simulating fluid???structure interaction, Progress in Aerospace Sciences, vol.65, pp.1-21, 2014.
DOI : 10.1016/j.paerosci.2013.09.003

F. Tseng, A ghost-cell immersed boundary method for flow in complex geometry, Journal of Computational Physics, vol.192, issue.2, pp.593-623, 2003.
DOI : 10.1016/j.jcp.2003.07.024

Y. Gorsse, A. Iollo, H. Telib, and L. Weynans, A simple second order cartesian scheme for compressible Euler flows, Journal of Computational Physics, vol.231, issue.23, pp.7780-7794, 2012.
DOI : 10.1016/j.jcp.2012.07.014

URL : https://hal.archives-ouvertes.fr/hal-00701277

A. Sarthou, S. Vincent, P. Angot, and J. Caltagirone, The sub-mesh penalty method, Complex Appl. V, pp.633-640, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00390080

M. Linnick and H. , A high-order immersed interface method for simulating unsteady incompressible flows on irregular domains, Journal of Computational Physics, vol.204, issue.1, pp.157-192, 2005.
DOI : 10.1016/j.jcp.2004.09.017

P. Collela, D. Graves, B. Keen, and D. Modiano, A Cartesian grid embedded boundary method for hyperbolic conservation laws, Journal of Computational Physics, vol.211, issue.1, pp.347-366, 2006.
DOI : 10.1016/j.jcp.2005.05.026

P. Angot, C. Bruneau, and P. Fabrie, A penalization method to take into account obstacles in incompressible viscous flows, Numerische Mathematik, vol.81, issue.4, pp.497-520, 1999.
DOI : 10.1007/s002110050401

E. Arquis and J. Caltagirone, Sur les conditions hydrodynamiques au voisinage d'une interface milieu fluide-milieux poreux: application à la convection naturelle, C.R. Acad. Sci. Paris II, vol.299, pp.1-4, 1984.

]. M. Bergmann and A. Iollo, Modeling and simulation of fish-like swimming, Journal of Computational Physics, vol.230, issue.2, pp.329-348, 2011.
DOI : 10.1016/j.jcp.2010.09.017

URL : https://hal.archives-ouvertes.fr/inria-00546358

O. Boiron, G. Chiavassa, and R. Donat, A high-resolution penalization method for large Mach number flows in the presence of obstacles, Computers & Fluids, vol.38, issue.3, pp.703-714, 2009.
DOI : 10.1016/j.compfluid.2008.07.003

URL : https://hal.archives-ouvertes.fr/hal-00259907

R. Abgrall, H. Beaugendre, and C. Dobrzynski, An immersed boundary method using unstructured anisotropic mesh adaptation combined with level-sets and penalization techniques, Journal of Computational Physics, vol.257, pp.83-101, 2014.
DOI : 10.1016/j.jcp.2013.08.052

URL : https://hal.archives-ouvertes.fr/hal-00940302

B. Kadoch, D. Kolomenskiy, P. Angot, and K. Schneider, A volume penalization method for incompressible flows and scalar advection???diffusion with moving obstacles, Journal of Computational Physics, vol.231, issue.12, pp.4365-4383, 2012.
DOI : 10.1016/j.jcp.2012.01.036

URL : https://hal.archives-ouvertes.fr/hal-01032208

F. Morency, H. Beaugendre, and F. Gallizio, Aerodynamic force evaluation for ice shedding phenomenon using vortex in cell scheme, penalisation and level set approaches, International Journal of Computational Fluid Dynamics, vol.57, issue.5, pp.9-10, 2012.
DOI : 10.1006/jcph.2000.6614

URL : https://hal.archives-ouvertes.fr/hal-00768349

P. Koumoutsakos and A. Leonard, High-resolution simulations of the flow around an impulsively started cylinder using vortex methods, Journal of Fluid Mechanics, vol.29, issue.-1, pp.1-38, 1995.
DOI : 10.1016/0021-9991(80)90049-2

P. Ploumhans, G. S. Winckelmans, J. K. Salmon, A. Leonard, and M. S. Warren, Vortex Methods for Direct Numerical Simulation of Three-Dimensional Bluff Body Flows: Application to the Sphere at Re=300, 500, and 1000, Journal of Computational Physics, vol.178, issue.2, pp.427-463, 2002.
DOI : 10.1006/jcph.2002.7035

G. Cottet and P. Koumoutsakos, Vortex methods: theory and practice, 2000.
DOI : 10.1017/CBO9780511526442

G. Cottet and P. Poncet, Advances in direct numerical simulations of 3D wall-bounded flows by Vortex-in-Cell methods, Journal of Computational Physics, vol.193, issue.1, pp.136-158, 2003.
DOI : 10.1016/j.jcp.2003.08.025

N. Kevlahan and J. Ghidaglia, Computation of turbulent flow past an array of cylinders using a spectral method with Brinkman penalization, European Journal of Mechanics - B/Fluids, vol.20, issue.3, pp.20-333, 2001.
DOI : 10.1016/S0997-7546(00)01121-3

M. Coquerelle and G. Cottet, A vortex level set method for the two-way coupling of an incompressible fluid with colliding rigid bodies, Journal of Computational Physics, vol.227, issue.21, pp.9121-9137, 2008.
DOI : 10.1016/j.jcp.2008.03.041

URL : https://hal.archives-ouvertes.fr/hal-00297673

C. Mimeau, I. Mortazavi, and G. Cottet, Passive flow control around a semi-circular cylinder using porous coatings, Int. Journal of flow control, vol.6, issue.1, pp.43-60, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01192693

C. Mimeau, F. Gallizio, G. Cottet, and I. Mortazavi, Vortex penalization method for bluff body flows, submitted to Int, Jour. for Num. Meth. in Fluids
DOI : 10.1002/fld.4038

URL : https://hal.archives-ouvertes.fr/hal-00936332/file/paper.pdf

M. Gazzola, B. Hejazialhosseini, and P. Koumoutsakos, Reinforcement Learning and Wavelet Adapted Vortex Methods for Simulations of Self-propelled Swimmers, SIAM Journal on Scientific Computing, vol.36, issue.3, pp.622-639, 2014.
DOI : 10.1137/130943078

G. Cottet, J. Etancelin, F. Perignon, and C. Picard, High order semi-Lagrangian particle methods for transport equations: numerical analysis and implementation issues, ESAIM: Mathematical Modelling and Numerical Analysis, vol.48, issue.4, pp.1029-1064, 2014.
DOI : 10.1051/m2an/2014009

URL : https://hal.archives-ouvertes.fr/hal-00991150

J. Rasmussen, G. Cottet, and J. Waltherw, A multiresolution remeshed Vortex-In-Cell algorithm using patches, Journal of Computational Physics, vol.230, issue.17, pp.6742-6755, 2011.
DOI : 10.1016/j.jcp.2011.05.006

URL : https://hal.archives-ouvertes.fr/hal-00748050

D. Rossinelli, M. Bergdof, G. Cottet, and P. Koumoutsakos, GPU accelerated simulations of bluff body flows using vortex particle methods, Journal of Computational Physics, vol.229, issue.9, pp.3316-3333, 2010.
DOI : 10.1016/j.jcp.2010.01.004

URL : https://hal.archives-ouvertes.fr/hal-00748016

DOI : 10.1006/jfls.1999.0219

M. Pocwierz and A. , Styczek, Calculation of the force on solid body in the unsteady flow of incompressible fluid, Archives of Mechanics, vol.62, issue.2, pp.103-122, 2010.

J. D. Eldredge, Dynamically coupled fluid???body interactions in vorticity-based numerical simulations, Journal of Computational Physics, vol.227, issue.21, pp.9170-94, 2008.
DOI : 10.1016/j.jcp.2008.03.033

X. Q. Zhang, P. Theissen, and J. U. Schlüter, Towards simulation of flapping wings using immersed boundary method, International Journal for Numerical Methods in Fluids, vol.20, issue.2, pp.522-536, 2013.
DOI : 10.1002/fld.3678

R. Mittal, V. Seshadri, and H. S. , Flutter, Tumble and Vortex Induced Autorotation, Theoretical and Computational Fluid Dynamics, vol.17, issue.3, pp.165-170, 2004.
DOI : 10.1007/s00162-003-0101-5

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=

R. Glowinski, T. W. Pan, T. I. Hesla, D. D. Joseph, and J. Périaux, A Fictitious Domain Approach to the Direct Numerical Simulation of Incompressible Viscous Flow past Moving Rigid Bodies: Application to Particulate Flow, Journal of Computational Physics, vol.169, issue.2, pp.363-426, 2001.
DOI : 10.1006/jcph.2000.6542

S. Bonisch and V. Heuveline, On the numerical simulation of the unsteady free fall of a solid in a fluid: I. The Newtonian case, Computers & Fluids, vol.36, issue.9, 2007.
DOI : 10.1016/j.compfluid.2007.01.010

P. R. Andronov, D. A. Grigorenko, S. V. Guvernyuk, and G. Y. Dynnikova, Numerical simulation of plate autorotation in a viscous fluid flow, Fluid Dynamics, vol.42, issue.5, pp.719-750, 2007.
DOI : 10.1134/S0015462807050055

D. M. Hargreaves, B. Kakimpa, and J. S. Owen, The computational fluid dynamics modelling of the autorotation of square, flat plates, Journal of Fluids and Structures, vol.46, 2014.
DOI : 10.1016/j.jfluidstructs.2013.12.006

G. Cottet, B. Michaux, S. Ossia, and G. Vanderlinden, A Comparison of Spectral and Vortex Methods in Three-Dimensional Incompressible Flows, Journal of Computational Physics, vol.175, issue.2, pp.702-712, 2002.
DOI : 10.1006/jcph.2001.6963

J. Monaghan, Extrapolating B splines for interpolation, Journal of Computational Physics, vol.60, issue.2, pp.253-262, 1985.
DOI : 10.1016/0021-9991(85)90006-3

H. Beaugendre, F. Morency, F. Gallizio, and S. Laurens, Computation of ice shedding trajectories using cartesian grids, penalization, and level sets, Modelling and Simulation in Engineering, pp.1-15, 2011.

M. Lai and C. Peskin, An Immersed Boundary Method with Formal Second-Order Accuracy and Reduced Numerical Viscosity, Journal of Computational Physics, vol.160, issue.2, pp.705-719, 2000.
DOI : 10.1006/jcph.2000.6483

C. Liu, X. Zheng, and C. Sung, Preconditioned Multigrid Methods for Unsteady Incompressible Flows, Journal of Computational Physics, vol.139, issue.1, pp.35-57, 1998.
DOI : 10.1006/jcph.1997.5859

]. H. Gopalan and A. Povitsky, Lift Enhancement of Flapping Airfoils by Generalized Pitching Motion, Journal of Aircraft, vol.47, issue.6, pp.1884-1897, 2010.
DOI : 10.2514/1.47219

T. Kinsey and G. Dumas, Parametric study of an oscillating airfoil n a power-extraction regime, AIAA Journal, vol.46, issue.6, pp.543-561, 2008.

M. S. Campobasso and J. Drofelnik, Compressible Navier???Stokes analysis of an oscillating wing in a power-extraction regime using efficient low-speed preconditioning, Computers & Fluids, vol.67, pp.26-40, 2012.
DOI : 10.1016/j.compfluid.2012.07.002

M. A. Ashraf, J. Young, and J. C. Lai, Reynolds number, thickness and camber effects on flapping airfoil propulsion, Journal of Fluids and Structures, vol.27, issue.2, 2011.
DOI : 10.1016/j.jfluidstructs.2010.11.010

F. Morency, H. Beaugendre, and R. Dufrénot, Mathematical model for ice wall interactions within a level set method, proceedings for the 49th International Symposium of Applied Aerodynamics 3AF, 2014.
DOI : 10.1504/IJESMS.2016.075552

URL : https://hal.archives-ouvertes.fr/hal-01250169