Article ID Journal Published Year Pages File Type
5011452 Communications in Nonlinear Science and Numerical Simulation 2018 11 Pages PDF
Abstract
A new regularisation of the shallow water (and isentropic Euler) equations is proposed. The regularised equations are non-dissipative, non-dispersive and posses 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.
Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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