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Argiris I. Delis; Hervé Guillard; YihChin Tai Numerical simulations of hydraulic jumps with the Shear Shallow Water model SMAIJournal of computational mathematics, 4 (2018), p. 319344, doi: 10.5802/smaijcm.37 Article PDF Keywords: Shear Shallow Water model, Shallow Water equations, Turbulent Hydraulic jumps, Free surface flows, Finite Volumes, Wellbalancing Abstract An extension and numerical approximation of the shear shallow water equations model, recently proposed in [25], is considered in this work. The model equations are able to describe the oscillatory nature of turbulent hydraulic jumps and as such correct the deficiency of the classical nonlinear shallow water equations in describing such phenomena. The model equations, originally developed for horizontal flow or flows occurring over small constant slopes, are straightforwardly extended here for modeling flows over nonconstant slopes and numerically solved by a secondorder wellbalanced finite volume scheme. 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