Travaux en cours ou soumis pour publication

E. Audusse, G. Barenechea, A. Decoene, P. Quemar.
An alternative Finite Elements method for the free surface Navier-Stokes equations

E. Audusse, V. Dubos, N. Gaveau and Y. Penel.
Well-balanced and stable colocated finite volume schemes for the numerical approximation of the shallow water equations with Coriolis source term

E. Audusse, L. Boittin, M. Parisot.
On the Exner model and non-local approximations: Modeling, analysis, and numerical simulations [pdf]

E. Audusse, J.G. Caldas, L. Emerald, P. Heinrich, A. Paris, M. Parisot.
Comparison of models for the simulation of landslide generated tsunamis
Accepted for publication in ESAIM: Proceedings and Surveys. CEMRACS 2019.

E. Audusse, V. Dubos, A. Duran, N. Gaveau, Y. Nasseri and Y. Penel.
Numerical approximation of the shallow water equations with Coriolis source term
Accepted for publication in ESAIM: Proceedings and Surveys. CEMRACS 2019.

E. Audusse, M.O. Bristeau, J. Sainte-Marie.
Kinetic entropy for layer-averaged hydrostatic Navier-Stokes equations. [pdf]

Articles (dans ddes revues internationales avec comité de lecture) :

Aguillon, N., Audusse, E., Godlewski, E., Parisot, M.
Analysis of the Riemann Problem for a shallow water model with two velocities [pdf]
SIAM J. Math. Analysis, Vol. 50, pp. 4861-4888, 2018.

Audusse, E., Do, M.H., Omnes, P., Penel, Y.
Analysis of the modified Godunov type scheme for the linear wave equation with Coriolis source term on cartesian mesh [pdf]
J. Comput. Phys., Vol. 373, pp. 91-129, 2018.

Audusse, E., Chalons, C., Ung, P.
Three-wave Approximate Riemann Solver to the Saint-Venant Exner equations [pdf],
Int. J. Num. Meth. Fluids, Vol. 87, pp. 508-528, 2018.

Audusse, E., Bouchut, F., Bristeau, M.O., Sainte-Marie, J.
Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system [pdf],
Math. Comp., Vol. 85, pp. 2815-2837, 2016.

Audusse, E., Chalons, C., Ung, P.
A simple well-balanced and positive numerical scheme for the shallow-water system [pdf],
Comm. in Math. Sciences, Vol. 13, pp. 1317-1332, 2015.

Audusse, E., Benkhaldoun, F., Sari, S., Seaid, M., Tassi, P.
A fast finite volume solver for multi-layered shallow water flows with mass exchange [pdf],
J. Comput. Phys., Vol. 272, pp. 23-45, 2014.

Audusse, E., Benkhaldoun, F., Sainte-Marie, J., Seaid, M.
Multilayer Saint-Venant Equations over movable beds [pdf],
Discrete Contin. Dyn. Syst.-(B), Vol. 15, pp. 917-934, 2011.

Audusse, E., Bristeau, M.O., Pelanti, M., Sainte-Marie, J.
Approximation of the hydrostatic Navier-Stokes system for density stratified flows by a multilayer model. Kinetic interpretation and numerical validation. [pdf],
J. Comput. Phys., Vol. 230, pp. 3453-3478, 2011.

Audusse, E., Bristeau, M.O., Perthame, B., Sainte-Marie, J.
A multilayer Saint-Venant system with mass exchanges for Shallow Water flows. Derivation and Numerical Validation. [pdf],
M2AN Math. Model. Numer. Anal., Vol. 45, pp. 169-200, 2011.

Audusse E., Dreyfuss P., Merlet B.,
Schwartz wave form relaxation for primitive equations of the ocean [pdf],
SIAM J. Sci. Comput., Vol. 32, pp. 2908-2936, 2010.

Audusse, E., Klein, R., and Owinoh, AZ.
Conservative Discretization of Coriolis Force
J. Comput. Phys., Vol. 228, pp. 2934-2950, 2009.

Audusse, E., Bristeau, M.O., Decoene, A.
Numerical simulations of 3d free surface flows by a multilayer Saint-Venant model.
Int. J. for Numerical Methods in Fluids, Vol. 56, pp. 331-350, 2008.

Audusse, E., Bristeau, M.O.,
Finite volume solvers for a multilayer Saint-Venant system.
Int. J. of Applied Mathematics and Computer Science, Vol. 17, pp. 311-320, 2007.

Audusse E., Bristeau M.O.,
A Well-balanced Positivity Preserving "Second-order" Scheme for Shallow Water Flows on Unstructured Grids [preprint],
J. Comput. Phys., Vol. 206, pp. 311-333, 2005.

Audusse E., Perthame B.,
Uniqueness for discontinuous flux via adapted entropies [preprint],
Proc. of the Royal Society of Edinburgh - Section A : Mathematics, Vol. 135, pp. 253-265, 2005.

Audusse E.,
A multilayer Saint-Venant System : Derivation and Numerical Validation [preprint],
Discrete Contin. Dyn. Syst.-(B),, Vol. 5, pp. 189-214, 2005.

Audusse E., Bouchut F., Bristeau M.O., Klein R., Perthame B.,
A Fast and Stable Well-balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows [preprint],
SIAM J. Sci. Comput., Vol. 25, pp. 2050-2065, 2004.

Audusse E., Bristeau M.O.,
Transport of Pollutant in Shallow Water Flows : A Two Time Steps Kinetic Method [preprint],
M2AN Math. Model. Numer. Anal., Vol. 37, pp. 389-416, 2003.

HDR et Thèse :

Audusse E.,
Autour du système de Saint-Venant : Méthodes numériques pour le transport sédimentaire, les fluides en rotation et les équations primitives [pdf],
Université Paris 13 (2018).

Audusse E.,
Modélisation hyperbolique et analyse numérique pour les écoulements en eaux peu profondes [pdf],
Université Paris 6 / INRIA-Rocquencourt (2004).