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Article Dans Une Revue ESAIM: Mathematical Modelling and Numerical Analysis Année : 2022

An exact Solution for some Riemann Problems of the shear shallow water model

Résumé

The shear shallow water model is a higher order model for shallow flows which includes some shear effects that are neglected in the classical shallow models. The model is a non-conservative hyperbolic system which can admit shocks, rarefactions, shear and contact waves. The notion of weak solution is based on a path but the choice of the correct path is not known for this problem. In this paper, we construct exact solution for the Riemann problem assuming a linear path in the space of conserved variables, which is also used in approximate Riemann solvers. We compare the exact solutions with those obtained from a path conservative finite volume scheme on some representative test cases.

Dates et versions

hal-03603315 , version 1 (09-03-2022)

Identifiants

Citer

Boniface Nkonga, Praveen Chandrashekar. An exact Solution for some Riemann Problems of the shear shallow water model. ESAIM: Mathematical Modelling and Numerical Analysis, 2022, 56 (4), pp.1115-1150. ⟨10.1051/m2an/2022032⟩. ⟨hal-03603315⟩
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