Particle trajectories in the Serre equations
نویسندگان
چکیده
منابع مشابه
On the Galerkin/Finite-Element Method for the Serre Equations
A highly accurate numerical scheme is presented for the Serre system of partial differential equations, which models the propagation of dispersive shallow water waves in the fully-nonlinear regime. The fully-discrete scheme utilizes the Galerkin / finiteelement method based on smooth periodic splines in space, and an explicit fourth-order Runge-Kutta method in time. Computations compared with e...
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The Serre or Green and Naghdi equations are fully-nonlinear and weakly dispersive and have a built-in assumption of irrotationality. However, like the standard Boussinesq equations, also Serre’s equations are only valid for long waves in shallow waters. To allow applications in a greater range of h0/l, where h0 and l represent, respectively, depth and wavelength characteristics, a new set of ex...
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ژورنال
عنوان ژورنال: Applied Mathematics and Computation
سال: 2014
ISSN: 0096-3003
DOI: 10.1016/j.amc.2013.12.018