196
Littérature
91. G. Jiang and C. Shu. Efficient implementation of Weighted ENO schemes. Journal
of Computational Physics, 126(1) :202–228, 1996.
92. S. Kern and P. Koumoutsakos. Simulations of optimized anguilliform swimming.
Journal of Experimental Biology, 209(24) :4841–4857, 2006.
93. W. Kim and H. Choi. Immersed boundary methods for fluid-structure interaction :
A review. International Journal of Heat and Fluid Flow, 2019.
94. R. Kimmel and J. A. Sethian. Computing geodesic paths on manifolds. Proceedings
of the national academy of Sciences, 95(15) :8431–8435, 1998.
95. D. J. Korteweg. Sur la forme que prennent les équations du mouvements des fluides
si l’on tient compte des forces capillaires causées par des variations de densité
considérables mais connues et sur la théorie de la capillarité dans l’hypothèse d’une
variation continue de la densité. Archives Néerlandaises des Sciences exactes et
naturelles, 6 :1–24, 1901.
96. L. Lee and R. J. LeVeque. An immersed interface method for incompressible
navier–stokes equations. SIAM Journal on Scientific Computing, 25(3) :832–856,
2003.
97. R. J. Leveque and Z. Li. The immersed interface method for elliptic equations
with discontinuous coefficients and singular sources. SIAM Journal on Numerical
Analysis, 31(4) :1019–1044, 1994.
98. P. Lubin and H. Lemonnier. Propagation of solitary waves in constant depths over
horizontal beds. Multiphase Science and Technology, 16(1-3) :237–248, 2004.
99. E. Maitre, T. Milcent, G.-H. Cottet, A. Raoult, and Y. Usson. Applications of level
set methods in computational biophysics. Mathematical and Computer Modelling,
49(11) :2161–2169, 2009.
100. E. Maitre, C. Misbah, P. Peyla, and A. Raoult. Comparison between advected-field
and level-set methods in the study of vesicle dynamics. Physica D : Nonlinear
Phenomena, 241(13) :1146–1157, 2012.
101. E. Maitre and F. Santosa. Level set methods for optimization problems involving geometry and constraints ii. optimization over a fixed surface. Journal of
Computational Physics, 227(22) :9596–9611, 2008.
102. B. Maury. A many-body lubrication model. Comptes Rendus de l’Académie des
Sciences-Series I-Mathematics, 325(9) :1053–1058, 1997.
103. B. Maury. Direct simulations of 2D fluid-particle flows in biperiodic domains.
Journal of Computational Physics, 156 :325–351, 1999.
104. B. Merriman, J. K. Bence, and S. J. Osher. Motion of multiple junctions : A level
set approach. Journal of Computational Physics, 112(2) :334–363, 1994.
105. T. Metivet, V. Chabannes, M. Ismail, and C. Prud’homme. High-order finiteelement framework for the efficient simulation of multifluid flows. Mathematics,
6(10) :203, 2018.
106. T. Milcent. Une approche eulérienne du couplage fluide-structure, analyse mathématique et applications en biomécanique. Thèse de doctorat, Université Grenoble
Alpes, 2009.
107. T. Milcent and E. Maitre. Eulerian model of immersed elastic surfaces with full
membrane elasticity. Communications in Mathematical Sciences, 14(3) :857–881,
2016.
108. G. Miller and P. Colella. A conservative three-dimensional eulerian method for
coupled solid-fluid shock capturing. Journal of Computational Physics, 183(1) :26–
82, 2002.
109. C. Min. On reinitializing level set functions. Journal of computational physics,
229(8) :2764–2772, 2010.
Littérature
91. G. Jiang and C. Shu. Efficient implementation of Weighted ENO schemes. Journal
of Computational Physics, 126(1) :202–228, 1996.
92. S. Kern and P. Koumoutsakos. Simulations of optimized anguilliform swimming.
Journal of Experimental Biology, 209(24) :4841–4857, 2006.
93. W. Kim and H. Choi. Immersed boundary methods for fluid-structure interaction :
A review. International Journal of Heat and Fluid Flow, 2019.
94. R. Kimmel and J. A. Sethian. Computing geodesic paths on manifolds. Proceedings
of the national academy of Sciences, 95(15) :8431–8435, 1998.
95. D. J. Korteweg. Sur la forme que prennent les équations du mouvements des fluides
si l’on tient compte des forces capillaires causées par des variations de densité
considérables mais connues et sur la théorie de la capillarité dans l’hypothèse d’une
variation continue de la densité. Archives Néerlandaises des Sciences exactes et
naturelles, 6 :1–24, 1901.
96. L. Lee and R. J. LeVeque. An immersed interface method for incompressible
navier–stokes equations. SIAM Journal on Scientific Computing, 25(3) :832–856,
2003.
97. R. J. Leveque and Z. Li. The immersed interface method for elliptic equations
with discontinuous coefficients and singular sources. SIAM Journal on Numerical
Analysis, 31(4) :1019–1044, 1994.
98. P. Lubin and H. Lemonnier. Propagation of solitary waves in constant depths over
horizontal beds. Multiphase Science and Technology, 16(1-3) :237–248, 2004.
99. E. Maitre, T. Milcent, G.-H. Cottet, A. Raoult, and Y. Usson. Applications of level
set methods in computational biophysics. Mathematical and Computer Modelling,
49(11) :2161–2169, 2009.
100. E. Maitre, C. Misbah, P. Peyla, and A. Raoult. Comparison between advected-field
and level-set methods in the study of vesicle dynamics. Physica D : Nonlinear
Phenomena, 241(13) :1146–1157, 2012.
101. E. Maitre and F. Santosa. Level set methods for optimization problems involving geometry and constraints ii. optimization over a fixed surface. Journal of
Computational Physics, 227(22) :9596–9611, 2008.
102. B. Maury. A many-body lubrication model. Comptes Rendus de l’Académie des
Sciences-Series I-Mathematics, 325(9) :1053–1058, 1997.
103. B. Maury. Direct simulations of 2D fluid-particle flows in biperiodic domains.
Journal of Computational Physics, 156 :325–351, 1999.
104. B. Merriman, J. K. Bence, and S. J. Osher. Motion of multiple junctions : A level
set approach. Journal of Computational Physics, 112(2) :334–363, 1994.
105. T. Metivet, V. Chabannes, M. Ismail, and C. Prud’homme. High-order finiteelement framework for the efficient simulation of multifluid flows. Mathematics,
6(10) :203, 2018.
106. T. Milcent. Une approche eulérienne du couplage fluide-structure, analyse mathématique et applications en biomécanique. Thèse de doctorat, Université Grenoble
Alpes, 2009.
107. T. Milcent and E. Maitre. Eulerian model of immersed elastic surfaces with full
membrane elasticity. Communications in Mathematical Sciences, 14(3) :857–881,
2016.
108. G. Miller and P. Colella. A conservative three-dimensional eulerian method for
coupled solid-fluid shock capturing. Journal of Computational Physics, 183(1) :26–
82, 2002.
109. C. Min. On reinitializing level set functions. Journal of computational physics,
229(8) :2764–2772, 2010.