D. Balsara, J. Li, and G. Montecinos, An efficient, second order accurate, universal generalized riemann problem solver based on the hlli riemann solver. submitted, 2018.
DOI : 10.1016/j.jcp.2018.09.018

URL : http://arxiv.org/pdf/1801.00450

D. Balsara, G. I. Montecinos, and E. Toro, Exploring various flux vector splittings for the magnetohydrodynamic system, Journal of Computational Physics, vol.311, pp.1-21, 2016.
DOI : 10.1016/j.jcp.2016.01.029

URL : https://manuscript.elsevier.com/S0021999116000371/pdf/S0021999116000371.pdf

R. Brock, The development of roll-waves trains in open channels, J. Hydraulics Division, vol.95, pp.1401-1428, 1969.

R. Brock, Periodic permanent roll waves, J. Hydraulics Division, vol.96, pp.2565-2580, 1970.

A. Chesnokov, V. Liapidevskii, and I. Stepanova, Roll waves structure in two-layer hele-shaw flows, Wave Motion, vol.73, pp.1-10, 2017.
DOI : 10.1016/j.wavemoti.2017.05.001

M. Dumbser and D. Balsara, A new efficient formulation of the hllem riemann solver for general conservative and non-conservative hyperbolic systems, Journal of Computational Physics, vol.304, pp.275-319, 2016.

S. Gavrilyuk, K. Ivanova, and N. Favrie, Multi-dimensional shear shallow water flows: Problems and solutions, Journal of Computational Physics, vol.366, pp.252-280, 2018.
DOI : 10.1016/j.jcp.2018.04.011

URL : https://hal.archives-ouvertes.fr/hal-01529497

S. K. Godunov, A difference scheme for numerical computation of discontinous solutions of equations of fluids dynamics, Math. Sb, vol.47, pp.271-290, 1959.

K. Ivanova, S. Gavrilyuk, B. Nkonga, and G. Richard, Formation and coarsening of rollwaves in shear shallow water flows down an inclined rectangular channel, Computers and Fluids, vol.159, pp.189-203, 2017.
DOI : 10.1016/j.compfluid.2017.10.004

URL : https://hal.archives-ouvertes.fr/hal-01527469

X. Leng and H. Chanson, Breaking bore : Physical observation of roller characteristics, Mechanics Research Communications, vol.65, pp.24-29, 2015.
DOI : 10.1016/j.mechrescom.2015.02.008

URL : http://espace.library.uq.edu.au/view/UQ:354438/Bore337b_highlight.pdf

G. Maso, P. Lefloch, and F. Murat, Definition and weak stability of a non conservative product, J. Math. Pures Appl, vol.74, pp.483-548, 1995.

M. Munoz-ruiz and C. Pares, Godunov method for nonconservative hyperbolic systems, ESAIM: Mathematical Modelling and Numerical Analysis, vol.41, issue.1, pp.169-185, 2007.

G. Richard and S. Gavrilyuk, The classical hydraulic jump in a model of shear shallow-water flows, Journal of Fluid Mechanics, vol.725, pp.492-521, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01459449

V. M. Teshukov, Gas dynamic analogy for vortex free-boundary flows, Journal of Applied Mechanics and Technical Physics, vol.48, pp.303-309, 2007.
DOI : 10.1007/s10808-007-0039-2

S. A. Tokareva and E. F. Toro, A flux splitting method for the baer-nunziato equations of compressible two-phase flow, Journal of Computational Physics, vol.323, pp.45-74, 2016.

E. Toro, Shock-capturing methods for free-surface shear flows, 2001.

E. F. Toro and M. E. Vazquez-cendon, Flux splitting schemes for the euler equations, Computers and Fluids, vol.70, pp.1-12, 2012.
DOI : 10.1016/j.compfluid.2012.08.023

F. Eleuterio, C. E. Toro, B. Castro, and . Lee, A novel numerical flux for the 3d euler equations with general equation of state, Journal of Computational Physics, vol.303, pp.80-94, 2015.