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Dernière mise à jour : 13 déc. 2017

Carine Lucas   -   Publications     hal   mathscinet  scopus



Revues internationales
[1] New Developments and Cosine Effect in the Viscous Shallow Water and Quasi-Geostrophic Equations, C. Lucas, A. Rousseau - pdf - bibtex
SIAM Multiscale Modeling and Simulation, doi:10.1137/070705453, 7(2): 796-813, 2008.
(prépublié en rapport de recherche INRIA N°6330)

[2] An energetically consistent viscous sedimentation model, J. D. D. Zabsonré, C. Lucas, E. Fernández-Nieto - pdf - bibtex
Mathematical Models and Methods in Applied Sciences (M3AS), doi: 10.1142/S0218202509003504, 19(3): 477-499, 2009.
(prépublication du LAMA n°07-11d)

[3] Cosine Effect on Shallow Water Equations and Mathematical Properties, C. Lucas - pdf - bibtex
Quarterly of Applied Mathematics, doi: 10.1090/S0033-569X-09-01113-0, 67(2): 283-310, 2009.

[4] Cosine Effect in Ocean Models, C. Lucas, A. Rousseau - pdf - bibtex
Discrete and Continuous Dynamical Systems Series B, doi: 10.3934/dcdsb.2010.13.841, 13(4): 841-857, 2010.

[5] Quasi-Hydrostatic Primitive Equations for Ocean Global Circulation Models, C. Lucas, M. Petcu, A. Rousseau - pdf - bibtex
Chinese Annals of Mathematics Series B, doi: 10.1007/s11401-010-0611-6, 31(6): 939-952, 2010.

[6] A Shallow Water model for the numerical simulation of overland flow on surfaces with ridges and furrows, U. Razafison, S. Cordier, O. Delestre, F. Darboux, C. Lucas, F. James - pdf - bibtex
European Journal of Mechanics B/Fluids, doi: 10.1016/j.euromechflu.2011.07.002, 31: 44-52, 2012

[7] A two time-scale model for tidal bed-load transport, S. Cordier, C. Lucas, J. D. D. Zabsonré - pdf - bibtex
Communications in Mathematical Sciences, doi: 10.4310/CMS.2012.v10.n3.a8, 10(3): 875-888, 2012.

[8] Strong solutions for a 1D viscous bilayer Shallow Water model, J. D. D. Zabsonré, C. Lucas, A. Ouedraogo - pdf - bibtex
Nonlinear Analysis: Real World Applications, doi: 10.1016/j.nonrwa.2012.09.012, 14(2): 1216-1224, 2013.

[9] SWASHES: a compilation of Shallow Water Analytic Solutions for Hydraulic and Environmental Studies, O. Delestre, C. Lucas, P.-A. Ksinant, F. Darboux, C. Laguerre, T.-N.-T Vo, F. James, S. Cordier - pdf - bibtex - pdf avec résultats complémentaires
International Journal for Numerical Methods in Fluids, doi: 10.1002/fld.3741, 72(3): 269-300, 2013, erratum 74(3): 229-230, 2014.

[10] On the influence of the thickness of the sediment moving layer in the definition of the bedload transport formula in Exner systems, E. Fernández-Nieto, C. Lucas, T. Morales De Luna, S. Cordier - pdf - bibtex
Computers & Fluids, doi: 10.1016/j.compfluid.2013.11.031, 91: 87-106, 2014.

[11] A faster numerical scheme for a coupled system modelling soil erosion and sediment transport, M.-H. Le, S. Cordier, C. Lucas, O. Cerdan - pdf - bibtex
Water Resources Research, doi: 10.1002/2014WR015690, 51(2): 987–1005, 2015.

[12] Pressure and shear stress caused by raindrop impact at the soil surface: Scaling laws depending on the water depth, A. Nouhou Bako, F. Darboux, F. James, C. Josserand, C. Lucas - pdf - bibtex
Earth Surface Processes and Landforms, doi: 10.1002/esp.3894, 41(9): 1199-1210, 2016.

[13] On nontraditional quasi-geostrophic equations, C. Lucas, J. MacWilliams, A. Rousseau - pdf - bibtex
ESAIM: Mathematical Modelling and Numerical Analysis, doi: 10.1051/m2an/2016041, 51(2): 427-442, 2017.

[14] Raindrop Interaction in Interrill Erosion: a Probabilistic Approach, A. Nouhou Bako, F. Darboux, F. James, C. Lucas - pdf - bibtex
Water Resources Research, doi:10.1002/2017WR020568, 53(5):4361–4375, 2017.

[15] FullSWOF: Full Shallow-Water equations for Overland Flow, O. Delestre, F. Darboux, F. James, C. Lucas, C. Laguerre, S. Cordier - pdf - bibtex
Journal of Open Source Software, https://doi.org/10.21105/joss.00448, 2(20), 448, 2017.

[16] Large scale ocean models beyond the traditional approximation, C. Lucas, J. MacWilliams, A. Rousseau - pdf - bibtex
A paraître dans Annales de la Faculté des Sciences de Toulouse. Série 6, https://hal.archives-ouvertes.fr/hal-01329209.

Revues nationales
[Fr-1] Effet cosinus sur un modèle visqueux de type Saint-Venant et ses équations limites de type quasi-géostrophique et lacs, C. Lucas - pdf - bibtex
Comptes Rendus Mathematique, doi: 10.1016/j.crma.2007.07.013, 345(6): 313-318, 2007.

Chapitres de livres
[B-1] Multiscale analyses for the Shallow Water equations, D. Bresch, R. Klein, C. Lucas - pdf - bibtex
Notes on Numerical Fluid Mechanics and Multidisciplinary Design, Computational Science and High Performance Computing IV, doi: 10.1007/978-3-642-17770-5_12, 149-164, 2011.

[B-2] FullSWOF: A Software for Overland Flow Simulation, O. Delestre, S. Cordier, F. Darboux, M. Du, F. James, C. Laguerre, C. Lucas, O. Planchon - pdf - bibtex
Advances in Hydrauinformatics - SimHydro 2012 - New Frontiers of Simulation, doi: 10.1007/978-981-4451-42-0_19, 221-231, 2014.

[B-3] SWASHES : A Library for Benchmarking in Hydraulics, O. Delestre, C. Lucas, P.-A. Ksinant, F. Darboux, C. Laguerre, F. James, S. Cordier - pdf - bibtex
Advances in Hydrauinformatics - SimHydro 2012 - New Frontiers of Simulation, doi: 10.1007/978-981-4451-42-0_20, 233-243, 2014.

Rapports de recherche
[RR-1] FullSWOF: A free software package for the simulation of shallow water flows, O. Delestre, F. Darboux, F. James, C. Lucas, C. Laguerre, S. Cordier - pdf - bibtex
http://hal.archives-ouvertes.fr/hal-00932234, 2014.

Articles soumis
[S-1] Rainfall erosivity depending on flow depth in interrill erosion: a numerical approach, A. Nouhou Bako, F. Darboux, F. James, C. Lucas, 2016.

[S-2] A time reversal algorithm in acoustic media with Dirac measure approximations, É. Bretin, C. Lucas, Y. Privat
https://hal.archives-ouvertes.fr/hal-01529580, 2017.

Thèse de Doctorat
Effets de petites échelles, du tenseur des contraintes, des conditions au fond et à la surface sur les équations de Saint-Venant, C. Lucas - pdf - bibtex
Université Joseph Fourier (Grenoble), 2007.

Habilitation à diriger des recherches
Modélisation de problèmes de mécanique des fluides : approches théoriques et numériques, C. Lucas - pdf
Université d'Orléans, 2016.

Vulgarisation
Eviter que les petits ruisseaux ne deviennent de grandes rivières, C. Lucas - pdf
Hors-série Microscoop (CNRS Centre Limousin Poitou-Charentes), octobre 2013.

Erosion des sols agricoles : que d'eau !!! C. Lucas
Un jour, une brève, mpt2013.