A numerical study of water waves on sloping beaches
نویسندگان
چکیده
منابع مشابه
Conservation Laws for Shallow Water Waves on a Sloping Beach
Shallow water waves are governed by a pair of non-linear partial differential equations. We transfer the associated homogeneous and non-homogeneous systems, (corresponding to constant and sloping depth, respectively), to the hodograph plane where we find all the non-simple wave solutions and construct infinitely many polynomial conservation laws. We also establish correspondence between conserv...
متن کاملDraw-down and run-up of tsunami waves on sloping beaches
Christian Klettner PhD Post-doctoral Fellow, National University Hospital Singapore, Singapore Sridhar Balasubramanian PhD Post-doctoral Research Scientist, Physics Division, Los Alamos National Laboratory, Los Alamos, NM, USA Julian Hunt PhD Emeritus Professor of Climate Modelling, University College London, London, UK; Visiting Professor, Arizona State University, Tempe, AZ, USA; Visiting Pro...
متن کاملTheoretical and experimental study of particle trajectories for nonlinear water waves propagating on a sloping bottom.
A third-order asymptotic solution in Lagrangian description for nonlinear water waves propagating over a sloping beach is derived. The particle trajectories are obtained as a function of the nonlinear ordering parameter ε and the bottom slope α to the third order of perturbation. A new relationship between the wave velocity and the motions of particles at the free surface profile in the waves p...
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ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 1981
ISSN: 0307-904X
DOI: 10.1016/s0307-904x(81)80053-4