Publications du projet BANG liées aux Ecoulements Géophysiques / Publications of the team BANG related to Geophysical Flows

• M. Pelanti, F. Bouchut, A. Mangeney,
  A Riemann Solver for Single-Phase and Two-Phase Shallow Flow Models based on Relaxation. Relations with Roe and VFRoe Solvers.
  J. Comput. Phys., Vol. 230, pp. 515-550, 2011.
  
  
• M.O. Bristeau, N. Goutal, J. Sainte-Marie,
  Numerical simulations of a non-hydrostatic shallow water model.
  Computers & Fluids, Vol. 47, No. 1, 51-64, 2011
  
  
• E. Audusse, M.O. Bristeau, M. Pelanti, J. Sainte-Marie,
  Approximation of the hydrostatic Navier-Stokes system for density stratified flows by a multilayer model.
  Kinetic interpretation and numerical validation.
  J. Comput. Phys., Vol. 230, No. 9, 3453-3478, 2011
  
  
• E. Audusse, F. Benkhaldoun, J. Sainte-Marie, M. Seaid,
  Multilayer Saint-Venant Equations over movable beds.
  Discrete Contin. Dyn. Syst.-(B), Vol. 15, No. 4, 917-934, 2011
  
  
• N. Goutal, J. Sainte-Marie,
  A kinetic interpretation of the section-averaged Saint-Venant system for natural river hydraulics.
  Internat. J. Numer. Methods Fluids, published on line, doi: 10.1002/fld.2401, 2010
  
  
• J. Sainte-Marie,
  Vertically averaged models for the free surface Euler system. Derivation and kinetic interpretation.
  M3AS, Vol. 21, No. 3, 459--490, 2011
  
  
• E. Audusse, M.O. Bristeau, B. Perthame, J. Sainte-Marie,
  A multilayer Saint-Venant system with mass exchanges for Shallow Water flows. Derivation and Numerical Validation.
  M2AN Math. Model. Numer. Anal., Vol. 45(1), 169--200 , 2011.
  
  
• A. Decoene, J.-F. Gerbeau,
  Sigma transformation and ALE formulation for three-dimensional free surface flows.
  Internat. J. Numer. Methods Fluids, 59, no. 4, 357--386, 2009.
  
  
• M.-O. Bristeau, J. Sainte-Marie,
  Derivation of a non-hydrostatic shallow water model; Comparison with Saint-Venant and Boussinesq systems.
  Discrete Contin. Dyn. Syst., Ser. B, 10, no. 4, 733--759, 2008.
  
  
• E. Audusse, M.-O. Bristeau, A. Decoene,
  Numerical simulations of 3d free surface flows by a multilayer Saint-Venant model,
  Internat. J. Numer. Methods Fluids, 56, no. 3, 331--350, 2008.
  
  
• E. Audusse, M.-O. Bristeau,
  Finite volume solvers for a multilayer Saint-Venant system,
  Int. J. of Applied Mathematics and Computer Science, 17, 3:311-320, 2007.
  
  
• A. Mangeney, F. Bouchut, N. Thomas, J. P. Vilotte, M.-O. Bristeau,
  Numerical modeling of self-channeling granular flows and of their levée/channel deposits,
  Journal of Geophysical Research - Earth Surface, 112, F02017, DOI:10.1029/2006JF000469, 2007.
  
  
• M. Pirulli, M.-O. Bristeau, A. Mangeney, C. Scavia,
  The effect of the earth pressure coefficients on the runout of granular material,
  Environmental Modelling and Software, 22, 10:1437-1454, 2007.
  
  
• E. Audusse, M.-O. Bristeau, A. Decoene,
  3D free surface flows simulations using a multilayer Saint-Venant model. Comparisons with Navier-Stokes solutions.
  Numerical mathematics and advanced applications, 181--189, Springer, Berlin, 2006.
  
  
• A. Decoene,
  Modèle hydrostatique pour les écoulements à surface libre tridimensionnels et schémas numériques,
  Thesis, Université Pierre et Marie Curie, Paris 6, Mai 2006.
  
  
• E. Audusse,
  A Multilayer Saint-Venant Model,
  Discrete and Continuous Dynamical Systems-Serie B, 5(2), pp. 189-214, 2005.
  
  
• E. Audusse, M.-O. Bristeau,
  A well-balanced positivity preserving second order scheme for shallow water flows on unstructured meshes,
  J. Comp. Phys., 206, pp. 311-333, 2005.
  
  
• E. Audusse, B. Perthame,
  Uniqueness for a scalar conservation law with discontinuous flux via adapted entropies,
  Proc. of the Royal Society of Edinburgh, 135A:1-13, 2005.
  
  
• E. Audusse,
  Modélisation hyperbolique et analyse numérique pour les écoulements en eaux peu profondes,
  Thesis, Université Pierre et Marie Curie, Paris 6, septembre 2004.
  
  
• E. Audusse, F. Bouchut, M.-O. Bristeau, R. Klein, B. Perthame,
  A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows,
  SIAM J. Sc. Comp., vol. 25, no 6, pp. 2050-2065, 2004.
  
  
• T. Katsaounis, B. Perthame, C. Simeoni,
  Upwinding sources at interfaces in conservation laws,
  Applied Math. Letters, 17:410-430, 2004.
  
  
• E. Audusse, M.-O. Bristeau,
  Transport of Pollutant in Shallow Water. A Two Time Steps Kinetic Method,
  M2AN, vol. 37, no 2, pp. 389-416, 2003.
  
  
• F. Bouchut, A. Mangeney, B. Perthame, J.-P. Vilotte,
  Saint-Venant and savage-hutter type for gravity driven shallow waterflows,
  C. R. Acad. Sci. Paris, Ser. I Mathématique, 336(6):531-536 2003.
  
  
• A. Mangeney-Castelnau, J. P. Vilotte, M.-O. Bristeau, B. Perthame, F. Bouchut, C. Simeoni, S. Yernini,
  Numerical modeling of avalanches based on Saint-Venant equations using a kinetic scheme,
  J. Geophys. Res., vol. 108, no B11, pp. 2527-2542, 2003.
  
  
• A. Paquier, M.-O. Bristeau, S. Proust, N. Rivière, J.-Y. Champagne,
  Comparison of 2d flow modelling around a groyne,
  Proceedings of the XXXth IAHR Congress, Thessaloniki, pp.393-400, 2003.
  
  
• M.-O. Bristeau, B. Perthame,
  Kinetic schemes for solving Saint-Venant equations on unstructured grids,
  in Innovative Methods for Numerical Solutions of Partial Differential Equations,
  M.M. Hafez, J.-J. Chattot eds, World Scientific, pp. 267-277, 2002.
  
  
• C. Simeoni,
  Méthodes Numériques pour des Equations Hyperboliques de type Saint-Venant,
  Thesis , Université Pierre et Marie Curie, novembre, 2002.
  
  
• M.-O. Bristeau, B. Coussin,
  Boundary conditions for the shallow water equations solved by kinetic schemes,
  Rapport de recherche, INRIA, [ RR-4282 ], 2001.
  
  
• M.-O. Bristeau, B. Perthame,
  Transport of pollutant in shallow water using kinetic schemes,
  ESAIM Proceedings , Vol. 10, CEMRACS 1999, pp. 9-21, 2001.
  
  
• J.-F. Gerbeau, B. Perthame,
  Derivation of Viscous Saint-Venant System for Laminar Shallow Water; Numerical Validation,
  Discrete and Continuous Dynamical Systems: Series B 1, 1 2001.
  
  
• B. Perthame, C. Simeoni,
  A kinetic scheme for the Saint-Venant system with a source term,
  Calcolo, 4, 38, pp. 201-231, 2001.
  
  
• R. Botchorishvili, B. Perthame, A. Vasseur,
  Schémas d'équilibre pour des lois de conservation scalaires avec des termes sources raides,
  Rapport de recherche INRIA [RR-3891], 2000.
  
  
• E. Audusse, M.-O. Bristeau, B. Perthame,
  Kinetic Schemes for Saint-Venant Equations with Source Terms on Unstructured Grids,
  Rapport de recherche INRIA [ RR-3989 ], 2000.