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Journal articles
Non-dispersive conservative regularisation of nonlinear shallow water (and isothermal Euler) equations
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.
Cited literature [34 references]
https://hal.archives-ouvertes.fr/hal-01509445
Contributor : Denys Dutykh <>
Submitted on : Friday, July 14, 2017 - 3:37:51 PM
Last modification on : Tuesday, May 26, 2020 - 6:50:08 PM
Document(s) archivé(s) le : Friday, January 26, 2018 - 7:42:52 PM
Contributor : Denys Dutykh <>
Submitted on : Friday, July 14, 2017 - 3:37:51 PM
Last modification on : Tuesday, May 26, 2020 - 6:50:08 PM
Document(s) archivé(s) le : Friday, January 26, 2018 - 7:42:52 PM
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