Non-dispersive conservative regularisation of nonlinear shallow water (and isothermal Euler) equations - Archive ouverte HAL Access content directly
Journal Articles Communications in Nonlinear Science and Numerical Simulation Year : 2018

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.
Fichier principal
Vignette du fichier
DC-DD-rSV-2017.pdf (533.44 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01509445 , version 1 (17-04-2017)
hal-01509445 , version 2 (10-07-2017)
hal-01509445 , version 3 (14-07-2017)

Licence

Attribution - NonCommercial - ShareAlike

Identifiers

Cite

Didier Clamond, Denys Dutykh. Non-dispersive conservative regularisation of nonlinear shallow water (and isothermal Euler) equations. Communications in Nonlinear Science and Numerical Simulation, 2018, 55, pp.237-247. ⟨10.1016/j.cnsns.2017.07.011⟩. ⟨hal-01509445v3⟩
935 View
287 Download

Altmetric

Share

Gmail Facebook X LinkedIn More