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Well-balanced finite volume schemes for 2D non-homogeneous hyperbolic systems. Application to the dam break of Aznalcóllar
M.J. Castro Díaz, T. Chacón Rebollo, E.D. Fernández-Nieto, J.M. González Vida and C. Parés Computer Methods in Applied Mechanics and Engineering 197(45-48) 3932 (2008) https://doi.org/10.1016/j.cma.2008.03.026
Augmented Riemann solvers for the shallow water equations over variable topography with steady states and inundation
On Well‐Balanced Finite Volume Methods for Nonconservative Nonhomogeneous Hyperbolic Systems
M. J. Castro Díaz, T. Chacón Rebollo, E. D. Fernández‐Nieto and Carlos Parés SIAM Journal on Scientific Computing 29(3) 1093 (2007) https://doi.org/10.1137/040607642
Computations of transport of pollutant in shallow water
Geometric Modelling, Numerical Simulation, and Optimization
Trond Runar Hagen, Martin O. Henriksen, Jon M. Hjelmervik and Knut-Andreas Lie Geometric Modelling, Numerical Simulation, and Optimization 211 (2007) https://doi.org/10.1007/978-3-540-68783-2_8
Well-balanced finite volume evolution Galerkin methods for the shallow water equations
Lattice Boltzmann methods for shallow water flow applications
Guido Thömmes, Mohammed Seaïd and Mapundi K. Banda International Journal for Numerical Methods in Fluids 55(7) 673 (2007) https://doi.org/10.1002/fld.1489
Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows
Sebastian Noelle, Normann Pankratz, Gabriella Puppo and Jostein R. Natvig Journal of Computational Physics 213(2) 474 (2006) https://doi.org/10.1016/j.jcp.2005.08.019
High-Order Well-Balanced Finite Difference WENO Schemes for a Class of Hyperbolic Systems with Source Terms
T.R. Hagen, J.M. Hjelmervik, K.-A. Lie, J.R. Natvig and M. Ofstad Henriksen Simulation Modelling Practice and Theory 13(8) 716 (2005) https://doi.org/10.1016/j.simpat.2005.08.006
Computations of shallow water equations with high-order central-upwind schemes on triangular meshes
Compressible two-phase flows by central and upwind schemes
Smadar Karni, Eduard Kirr, Alexander Kurganov and Guergana Petrova ESAIM: Mathematical Modelling and Numerical Analysis 38(3) 477 (2004) https://doi.org/10.1051/m2an:2004024
Non‐oscillatory relaxation methods for the shallow‐water equations in one and two space dimensions