Bibliography
Publications of the year
Doctoral Dissertations and Habilitation Theses
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1A. Duran.
Numerical simulation of depth-averaged flow models : a class of Finite Volume and discontinuous Galerkin approaches, Université Montpellier II, October 2014.
https://tel.archives-ouvertes.fr/tel-01109438
Articles in International Peer-Reviewed Journals
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2J.-P. Bernard, E. Frenod, A. Rousseau.
Paralic confinement computations in coastal environment with interlocked areas, in: Discrete and Continuous Dynamical Systems - Series S, February 2015, vol. 8, no 1, pp. 45-54. [ DOI : 10.3934/dcdss.2015.8.45 ]
https://hal.archives-ouvertes.fr/hal-00833340 -
3F. Campillo, M. Joannides, I. Larramendy-Valverde.
Analysis and approximation of a stochastic growth model with extinction, in: Methodology and Computing in Applied Probability, January 2015, pp. 1-17.
https://hal.inria.fr/hal-01111641 -
4A. Duran, F. Marche.
Discontinuous-Galerkin discretization of a new class of Green-Naghdi equations, in: Communications in Computational Physics, October 2014, 37 p.
https://hal.archives-ouvertes.fr/hal-00980826 -
5A. Duran, F. Marche.
Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms, in: Computers and Fluids, June 2014, pp. 35-55. [ DOI : 10.1016/j.compfluid.2014.05.031 ]
https://hal.inria.fr/hal-00998024 -
6M. Guerra, R. Cienfuegos, C. Escauriaza, F. Marche, J. Galaz.
Modeling rapid flood propagation over natural terrains using a well-balanced scheme , in: Journal of Hydraulic Research, February 2014, 36 p. [ DOI : 10.1061/(ASCE)HY.1943-7900.0000881 ]
https://hal.archives-ouvertes.fr/hal-01094954 -
7V. Guinot, C. Delenne.
Macroscopic modelling of urban floods, in: Houille Blanche, December 2014, vol. 6, pp. 19-25. [ DOI : 10.1051/lhb/2014058 ]
https://hal.archives-ouvertes.fr/hal-01101501 -
8D. Lannes, F. Marche.
A new class of fully nonlinear and weakly dispersive Green-Naghdi models for efficient 2D simulations, in: Journal of Computational Physics, December 2014, pp. 238-268. [ DOI : 10.1016/j.jcp.2014.11.016 ]
https://hal.archives-ouvertes.fr/hal-00932858 -
9S. Majdalani, J. Chazarin, C. Delenne, V. Guinot.
Solute tranport in periodical heterogeneous porous media: importance of observation scale and experimental sampling, in: Journal of Hydrology, January 2015, vol. 520, pp. 52-60. [ DOI : 10.1016/j.jhydrol.2014.10.065 ]
https://hal.archives-ouvertes.fr/hal-01101494 -
10M. Tayachi Pigeonnat, A. Rousseau, E. Blayo, N. Goutal, V. Martin.
Design and analysis of a Schwarz coupling method for a dimensionally heterogeneous problem, in: International Journal for Numerical Methods in Fluids, June 2014, vol. 75, no 6, pp. 446-465. [ DOI : 10.1002/fld.3902 ]
https://hal.inria.fr/hal-00766214
Invited Conferences
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11A. Rousseau.
Bioremediation of natural resources: how optimization and numerical simulations can help, in: 3rd franco-chilean workshop on mathematical modeling for bioprocesses, Valparaiso, Chile, March 2014.
https://hal.inria.fr/hal-00931873
International Conferences with Proceedings
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12M. P. Daou, E. Blayo, A. Rousseau, O. Bertrand, M. Tayachi Pigeonnat, C. Coulet, N. Goutal.
Coupling 3D Navier-Stokes and 1D shallow water models, in: Simhydro 2014, Sophia Antipolis, France, June 2014.
https://hal.inria.fr/hal-00995171
National Conferences with Proceedings
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13S. Le Roy, R. Pedreros, C. André, F. Paris, S. Lecacheux, F. Marche, C. Vinchon.
Modélisation de la submersion marine lors de la tempête Johanna (2008) à Gâvres (Morbihan) : phénomène de franchissement en zone urbaine, in: XIIIèmes Journées Nationales Génie Côtier - Génie Civil (JNGCGC), Dunkerque, France, Paralia, July 2014, no 13, pp. 897-906. [ DOI : 10.5150/jngcgc.2014.099 ]
https://hal-brgm.archives-ouvertes.fr/hal-01007015
Conferences without Proceedings
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14A. Duran.
Discontinuous Galerkin approaches for Shallow Water and Green-Naghdi systems, in: International Conference on Hyperbolic Systems (HYP2014), Rio de Janeiro, Brazil, August 2014.
https://hal.inria.fr/hal-01111286 -
15F. Marche.
Numerical approximation of a new class of 2D dispersive Green-Naghdi equations, in: International Conference on Hyperbolic Systems (HYP2014), Rio de Janeiro, Brazil, August 2014.
https://hal.inria.fr/hal-01111287
Scientific Popularization
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16M. Andler, L. Bel, S. Benzoni-Gavage, T. Goudon, C. Imbert, A. Rousseau.
Brèves de maths, Nouveau Monde Editions, October 2014.
https://hal.inria.fr/hal-01078400 -
17M. Nodet, A. Rousseau, S. Minjeaud.
Courants marins : l’histoire d'une bouteille à la mer, in: Brèves de maths, Nouveau monde, October 2014.
https://hal.inria.fr/hal-01096811 -
18A. Rousseau, A. Rapaport, A. Pacholik, C. Leininger.
Action Dépollution, 2014, A strategic game to learn how to quickly purify a contaminated lake.
https://hal.inria.fr/hal-01086759
Patents
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19A. Rapaport, A. Rousseau, J. Harmand.
Procédé de traitement d'une ressource fluide, programme d'ordinateur et module de traitement associés, February 2014, no FA 78 4546 - FR 13 55129.
https://hal.inria.fr/hal-00859584
Other Publications
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20E. Blayo, D. Cherel, A. Rousseau.
Towards optimized Schwarz methods for the Navier-Stokes equations, April 2014.
https://hal.inria.fr/hal-00982087 -
21M. P. Daou, A. Cabal, C. Coulet, O. Bertrand, E. Blayo, A. Rousseau, A. Degroof.
Modelling crisis management for improved action and preparedness (CRISMA): Modelling submersion on the Charente-Maritime coast, July 2014, Colloque international « Connaissance et compréhension des risques côtiers : Aléas, Enjeux, Représentations, Gestion ».
https://hal.inria.fr/hal-01100923 -
22F. Marche.
Contributions to the numerical approximation of shallow water asymptotics, December 2014, HDR.
https://hal.archives-ouvertes.fr/hal-01109618 -
23A. Pacholik.
Conception d’un simulateur de traitement d'une ressource hydrique à destination du grand public, Institut Supérieur d'Informatique, de Modélisation et d'Informatique, September 2014.
https://hal.inria.fr/hal-01086529
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24J. Auriault.
Heterogeneous medium. Is an equivalent macroscopic description possible?, in: International journal of engineering science, 1991. -
25J. Auriault, P. Adler.
Taylor dispersion in porous media: Analysis by multiple scale expansions, in: Adv. Wat. Res., 1995, vol. 18, pp. 217–226. -
26E. Barthélemy.
Nonlinear shallow water theories for coastal waves, in: Surv Geophys, 2004, vol. 25, pp. 315–337. -
27E. Blayo, L. Debreu.
Revisiting open boundary conditions from the point of view of characteristic variables, in: Ocean Model, 2005, vol. 9, no 3, pp. 231–252. -
28P. Bonneton, F. Chazel, D. Lannes, F. Marche, M. Tissier.
A splitting approach for the fully nonlinear and weakly dispersive Green-Naghdi model, in: Journal of Computational Physics, 2011, vol. 230, no 4, pp. 1479 - 1498. -
29M. Brocchini, N. Dodd.
Nonlinear Shallow Water Equation Modeling for Coastal Engineering, in: Journal of Waterway, 2008. -
30A. Chen, B. Evans, S. Djordjevic, D. Savic.
A coarse-grid approach to representing building blockage effects in 2D urban flood modelling, in: J. Hydrol, March 2012, vol. 426, pp. 1–16. -
31A. Chen, B. Evans, S. Djordjevic, D. Savic.
Multi-layer coarse-grid modelling in 2D urban flood simulations, in: J. Hydrol, March 2012, vol. 470, pp. 1-11. -
32R. Cienfuegos, E. Barthélemy, P. Bonneton.
A fourth-order compact finite volume scheme for fully nonlinear and weakly dispersive Boussinesq-type equations. I. Model development and analysis, in: Internat. J. Numer. Methods Fluids, 2006, vol. 51, no 11, pp. 1217–1253. -
33B. Cushman-Roisin.
Introduction to Geophysical Fluid Dynamics, 1st, Prentice Hall, April 1994. -
34A. Defina, L. D'alpaos.
A new set of equations for very shallow water and partially dry areas suitable to 2D numerical models, in: Modelling Flood Propagation over Initially Dry Areas, 1994, pp. 82–101. -
35V. Dougalis, D. Mitsotakis, J.-C. Saut.
Boussinesq Systems of Bona-Smith Type on Plane Domains: Theory and Numerical Analysis, in: Journal of Scientific Computing, 2010. -
36D. Dutykh, D. Mitsotakis.
On the relevance of the dam break problem in the context of nonlinear shallow water equations, in: DCDS-B, 2010, vol. 13, pp. 799–818. -
37D. Dutykh, R. Poncet, F. Dias.
The VOLNA code for the numerical modeling of tsunami waves: Generation, propagation and inundation, in: Eur J Mech B Fluids, 2011, vol. 30, no 6, pp. 598–615. -
38B. Engquist, A. Majda.
Absorbing boundary conditions for the numerical simulation of waves, in: Math. Comp., 1977, vol. 31, no 139, pp. 629–651. -
39S. Frazao, Y. Zech.
Undular bores and secondary waves–Experiments and hybrid finite-volume modelling, in: Journal of Hydraulic Research, 2002. -
40E. Frénod, A. Rousseau.
Paralic Confinement: Models and Simulations, in: Acta Appl Math, January 2013, vol. 123, no 1, pp. 1–19. -
41V. Guinot, S. Soares-Frazão.
Flux and source term discretization in two-dimensional shallow water models with porosity on unstructured grids, in: Int. J Numer. Meth. Fluids, 2006, vol. 50, pp. 309–345. -
42V. Guinot.
Multiple porosity shallow water models for macroscopic modelling of urban floods, in: Adv Water Resour, 2012, vol. 37, pp. 40–72. -
43L. Halpern.
Artificial boundary conditions for the linear advection diffusion equation, in: Math. Comp., 1986, vol. 46, no 74, pp. 425–438. -
44J.-M. Hervouét, R. Samie, B. Moreau.
Modelling urban areas in dam-break flood-wave numerical simulations, in: International Seminar and Workshop on Rescue Actions Based on Dambreak Flow Analysis, Seinéjoki, Finland, 2000. -
45J. Klafter, A. Blumen, M. Shlesinger.
Stochastic pathway to anomalous diffusion, in: Physical Review A, 1987, vol. 35, pp. 3081–3085. -
46D. Lannes, P. Bonneton.
Derivation of asymptotic two-dimensional time-dependent equations for surface water wave propagation, in: Phys. Fluids, 2009, vol. 21, no 1, 016601. -
47D. Lannes.
The water waves problem: mathematical analysis and asymptotics, in: Mathematical Surveys and Monographs, 2013. -
48O. Le Métayer, S. Gavrilyuk, S. Hank.
A numerical scheme for the Green–Naghdi model, in: Journal of Computational Physics, 2010, vol. 229, pp. 2034–2045. -
49F. Lemarié, L. Debreu, E. Blayo.
... an Optimized Global-in-Time Schwarz Algorithm for Diffusion Equations with Discontinuous and Spatially Variable Coefficients, Part 1: The Constant Coefficients ..., in: Electronic Transactions on Numerical Analysis, 2012. -
50J. Lhomme.
Modélisation des inondations en milieu urbain: approches unidimensionnelle, bidimensionnelle et macroscopique, Université Montpellier 2, France, 2006. -
51R. Metzler, J. Klafter.
The random walk's guide to anomalous diffusion: a fractional dynamics approach, in: Phys Rep, 2000, vol. 339, no 1, pp. 1–77. -
52G. Papanicolau, A. Bensoussan, J.-L. Lions.
Asymptotic analysis for periodic structures, in: North-Holland, 1978. -
53A. Rousseau, R. Temam, J. Tribbia.
The 3D primitive equations in the absence of viscosity: boundary conditions and well-posedness in the linearized case, in: J. Math. Pures Appl. (9), 2008, vol. 89, no 3, pp. 297–319. -
54B. Sanders, J. Schubert, H. Gallegos.
Integral formulation of shallow-water equations with anisotropic porosity for urban flood modeling, in: J. Hydrol, 2008, vol. 362, pp. 19–38. -
55S. Soares-Frazão, J. Lhomme, V. Guinot, Y. Zech.
Two-dimensional shallow-water model with porosity for urban flood modelling, in: Journal of Hydraulic Research, 2008, vol. 46, no 1, pp. 45–64. -
56M. Tissier, P. Bonneton, F. Marche, F. Chazel, D. Lannes.
A new approach to handle wave breaking in fully non-linear Boussinesq models, in: Coastal Engineering, 2012, vol. 67, pp. 54–66. -
57M. Velickovic.
Macroscopic modeling of urban flood by a porosity approach, Université catholique de Louvain, Belgium, 2012. -
58J. Yan, C. Shu.
Local discontinuous Galerkin methods for partial differential equations with higher order derivatives, in: Journal of Scientific Computing, 2002. -
59X. Zhang, Y. Xia, C.-W. Shu.
Maximum-Principle-Satisfying and Positivity-Preserving High Order Discontinuous Galerkin Schemes for Conservation Laws on Triangular Meshes, in: Journal of Scientific Computing, 2012, vol. 50, no 1, pp. 29-62.
http://dx.doi.org/10.1007/s10915-011-9472-8 -
60M. Zijlema, G. Stelling, P. Smit.
SWASH : an operational public domain code for simulating wave fields and rapidly varying flows in coastal waters, in: Coastal Engineering, 2011, vol. 58, pp. 992–1012.