Recent Publications of M.O. Bristeau (since 2000)

• A.C. Boulanger, M.O. Bristeau, J. Sainte-Marie,
  Analytical solutions for the free surface hydrostatic Euler equations.
  Communications in Mathematical Sciences, Preprint, 2012
  
  
• 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, 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, 169-200 , DOI: 10.1051/m2an/2010036, 2011.
  
  
• J. Sainte-Marie, M.-O. Bristeau,
  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.
  
  
• 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, 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.
  
  
• 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.
  
  
• 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.
  
  
• 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.
  
  
• 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.