Abstract : A new regularisation of the shallow water (and isentropic Euler) equations is proposed. The regularised equations are non-dissipative, non-dispersive and possess a variational structure. Thus, the mass, the momentum and the energy are conserved. Hence, for instance, regularised hydraulic jumps are smooth and non-oscillatory. Another particularly interesting feature of this regularisation is that smoothed `shocks' propagates at exactly the same speed as the original discontinuous ones. The performance of the new model is illustrated numerically on some dam-break test cases, which are classical in the hyperbolic realm.
https://hal.archives-ouvertes.fr/hal-01509445 Contributor : Denys DutykhConnect in order to contact the contributor Submitted on : Friday, July 14, 2017 - 3:37:51 PM Last modification on : Tuesday, January 4, 2022 - 3:45:22 AM Long-term archiving on: : Friday, January 26, 2018 - 7:42:52 PM