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

A. Sarthou, Fictitious Domain Methods for the Elliptic and Navier-Stokes Equations. Application to Fluid-Structure Coupling, 2009.

C. S. Peskin, Flow patterns around heart valves: A numerical method, J. Comput. Phys, vol.10, pp.252-271, 1972.

C. S. Peskin, The immersed boundary method. Acta Numer, vol.11, pp.479-517, 2002.

J. Mohd-yusof, Combined Immersed Boundary/b-Spline Methods for Simulations of Flows in Complex Geometries

E. A. Fadlun, R. Verzicco, P. Orlandi, and J. Mohd-yusof, Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations, J. Comput. Phys, vol.161, pp.35-60, 2000.

R. Verzicco, G. Iaccarino, M. Fatica, and P. Orlandi, Flow in a Impeller Stirred Tank Using an Immersed Boundary Method; Annual Research Brief, 2001.

Y. Tseng and J. H. Ferziger, A ghost-cell immersed boundary method for flow in complex geometry, J. Comput. Phys, vol.192, pp.593-623, 2003.

E. Arquis, Convection Mixte Dans une Couche Poreuse Verticale non Confinée. Application à l'Isolation Perméodynamique, 1984.

K. Khadra, P. Angot, S. Parneix, and J. Caltagirone, Fictitious domain approach for numerical modelling of navier-stokes equations, Int. J. Numer. Methods Fluids, vol.34, pp.651-684, 2000.

P. Angot, . Bruneau, and P. .c-h..;-fabrie, A penalization method to take into account obstacles in incompressible viscous flows, Numer. Math, vol.81, pp.497-520, 1999.

I. Ramière, P. Angot, and M. Belliard, A general fictitious domain method with immersed jumps and multilevel nested structured meshes, J. Comput. Phys, vol.225, pp.1347-1387, 2007.

A. Sarthou, S. Vincent, P. Angot, and J. Caltagirone, Finite Volumes for Complex Applications V; Chapter the Sub-Mesh-Penalty Method, pp.633-640, 2008.

A. Sarthou, S. Vincent, .. Caltagirone, and P. Angot, Eulerian-Lagrangian grid coupling and penalty methods for the simulation of multiphase flows interacting with complex objects, Int. J. Numer. Methods Fluids, vol.56, pp.1093-1099, 2008.

M. Fortin, R. Glowinski, and . Méthodes-de-lagrangien-augmenté, Application à la Résolution Numérique de Problèmes aux Limites, 1982.

S. Vincent, A. Sarthou, J. Caltagirone, F. Sonilhac, P. Février et al., Augmented lagrangian and penalty methods for the simulation of two-phase flows interacting with moving solids. application to hydroplaning flows interacting with real tire tread patterns, J. Comput. Phys, vol.230, pp.956-983, 2010.

F. Domenichini, On the consistency of the direct forcing method in the fractional step solution of the navier-stokes equations, J. Comput. Phys, vol.227, pp.6372-6384, 2008.

J. Kim, D. Kim, and H. Choi, An immersed boundary finite volume method for simulations of flow in complex geometries, J. Comput. Phys, vol.171, pp.132-150, 2001.

K. Taira and T. Colonius, The immersed boundary method: A projection approach, J. Comput. Phys, vol.225, pp.2118-2137, 2007.

T. Ikeno and T. Kajishima, Finite-difference immersed boundary method consistent with wall conditions for incompressible turbulent flow simulations, J. Comput. Phys, vol.226, pp.1485-1508, 2007.

Y. T. Ng, C. Min, and F. Gibou, An efficient fluid-Solid coupling algorithm for single-phase flows, J. Comput. Phys, vol.228, pp.8807-8829, 2009.

M. Lepilliez, E. R. Popescu, F. Gibou, and S. Tanguy, On two-phase flow solvers in irregular domains with contact line, J. Comput. Phys, vol.321, pp.1217-1251, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01349346

P. F. Angot and .. Caltagirone,

, Finite Volumes for Complex Applications V; Chapter Vector Penalty-Projection Methods for the Solution of Unsteady Incompressible Flows, pp.169-176, 2008.

M. Belliard and C. Fournier, Penalized direct forcing and projection schemes for navier-stokes, C. R. Math, vol.348, pp.1133-1136, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00522647

K. Goda, A multistep technique with implicit difference schemes for calculating two-or three-dimensional cavity flows, J. Comput. Phys, vol.30, pp.76-95, 1978.

L. J. Timmermans, P. D. Minev, and F. N. Van-de-vosse, An approximate projection scheme for incompressible flow using spectral elements, Int. J. Numer. Methods Fluid, vol.22, pp.673-688, 1996.

I. Gustafsson, On First and Second Order Symmetric Factorization Methods for the Solution of Elliptic Difference Equations, 1978.

. Van-der and H. A. Vorst, Bi-cgstab: A fast and smoothly converging variant of bi-cg for the solution of nonsymmetric linear systems, SIAM J. Sci. Stat. Comput, vol.13, pp.631-644, 1992.

J. Kim and P. Moin, Application of a fractional-step method to incompressible Navier-Stokes equations, J. Comput. Phys, vol.59, pp.308-323, 1985.

J. L. Guermond, P. Minev, and J. Shen, An overview of projection methods for incompressible flows, Comput. Methods Appl. Mech. Eng, vol.195, pp.6011-6045, 2006.

K. J. Arrow, L. Hurwicz, and H. Uzawa, Studies in linear and Nonlinear Programming-Iterative Method for Concave Programming, 1958.

C. Févriére, J. Laminie, P. Poullet, and P. Angot, On the penalty-projection method for the navier-stokes equations with the mac mesh, J. Comput. Appl. Math, vol.226, pp.228-245, 2009.

S. Vincent, J. Caltagirone, P. Lubin, T. N. Randrianarivelo, and . Randrianarivelo, An adaptative augmented lagrangian method for three-dimensional multimaterial flows, Comput. Fluids, vol.33, pp.1273-1289, 2004.

K. Fujii, Unified Zonal Method Based on the Fortified Solution Algorithm, J. Comput. Phys, vol.118, pp.92-108, 1995.

A. Sarthou, S. Vincent, and J. P. Caltagirone, A second-order curvilinear to cartesian transformation of immersed interfaces and boundaries. Application to fictitious domains and multiphase flows, Comput. Fluids, vol.46, pp.422-428, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00479705

C. J. Ogayar, R. J. Segura, and F. R. Feito, Point in solid strategies, Comput. Graph, vol.29, pp.616-624, 2005.

P. Angot, Contribution à l'étude des Transferts Thermiques dans des Systèmes Complexes aux Composants Électroniques, 1989.

I. Ramière, Convergence analysis of the q 1 -finite element method for elliptic problems with non-boundary-fitted meshes, Int. J. Numer. Methods Eng, vol.75, pp.1007-1052, 2007.

J. B. Perot, An analysis of the fractional step method, J. Comput. Phys, vol.108, pp.51-58, 1993.

P. J. Roache, Verification and Validation in Computational Science and Engineering, 1998.

E. Guendelman, A. Selle, F. Losasso, and R. Fedkiw, Coupling water and smoke to thin deformable and rigid shells, Proceedings of the ACM SIGGRAPH, pp.973-981, 2005.

P. Angot, M. Jobelin, and J. Latché, Error analysis of the penalty-projection method for the time-dependant stokes equations, Int. J. Finite, vol.6, pp.1-26, 2009.

I. Orlanski, A simple boundary condition for unbounded hyperbolic flows, J. Comput. Phys, vol.21, pp.251-269, 1976.

A. Poux, S. Glockner, and M. Azaïez, Improvements on open and traction boundary conditions for navier-stokes time-splitting methods, J. Comput. Phys, vol.230, pp.4011-4027, 2011.
URL : https://hal.archives-ouvertes.fr/hal-01597552