• [1] M.-O. Bristeau, D. Froger, R. Hamouda, A. Mangeney, J. Sainte-Marie, F. Souillé and M. Vallée Numerical simulations of 3d hydrostatic Navier-Stokes system with free surface. (2017)

  • [2] E.Audusse, M.-O.Bristeau, B.Perthame, and J.Sainte-Marie, A multi-layer Saint-Venant system with mass exchanges for Shallow Water flows. Derivation and numerical validation, ESAIM: M2AN 45 (2011), 169–200.

  • [3] M.-O.Bristeau, B.Coussin, Boundary Conditions for the Shallow Water Equations solved by Kinetic Schemes (2001)

  • [4] E.Audusse and M.-O.Bristeau, A well-balanced positivity preserving second-order scheme for Shallow Water flows on unstructured meshes, J. Comput. Phys. 206 (2005), no. 1, 311–333.

  • [5] E.Audusse, A multilayer Saint-Venant model : Derivation and numerical validation, Discrete Contin. Dyn. Syst. Ser. B 5 (2005), no. 2, 189–214.

  • [6] E.Audusse, F.Bouchut, M.-O.Bristeau, R.Klein, and B.Perthame, A fast and stable well-balanced scheme with hydrostatic reconstruction for Shallow Water flows, SIAM J. Sci. Comput. 25 (2004), no. 6, 2050–2065.

  • [7] E.Audusse, M.-O.Bristeau, M.Pelanti, and J.Sainte-Marie, Approximation of the hydrostatic Navier-Stokes system for density stratified flows by a multilayer model. Kinetic interpretation and numerical validation., J. Comp. Phys. 230 (2011), 3453–3478.

  • [8] A.-C.Boulanger and J.Sainte-Marie, Analytical solutions for the free surface hydrostatic Euler equations, Commun.Math. Sci. 11 (2013),no. 4, 993–1010.

  • [9] E.Audusse, F.Bouchut, M.-O.Bristeau, and J.Sainte-Marie, Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system, Math. Comp. 85 (2016), no. 302, 2815–2837. MR3522971

  • [10] Audusse, E. and Klein, R. and Owinoh A., Conservative discretization of Coriolis force in a finite volume, J. Comput. Phys. 228 (2009), no. 8, 2934-2950.

  • [11] Audusse, E. and Dubos, V. and Duran, A. and Gaveau, N. and Nasseri, Y. and Penel, Y., NUMERICAL APPROXIMATION OF THE SHALLOW WATER EQUATIONS WITH CORIOLIS SOURCE TERM, ESAIM Proc. 70 (2021), 31-44.

See also

Other related articles can be found on ANGE website.