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 کاملEdge waves along a sloping beach
Standing on a gently sloping straight beach, it is a matter of observation that various waveforms propagate on the surface of the sea. Among these we find edge waves water waves that progress along the shoreline. These waves, often difficult to visualize (this has, probably, prevented the regarding of this waveform as important for a long time), are coastal trapped, i.e. their amplitude is maxi...
متن کاملAnalytical solutions for forced long waves on a sloping beach
= ∂f ∂t2 for x > 0, in which Y (x, t) denotes an unknown variable, f (x, t) a prescribed forcing function and b a positive constant. This equation has been used to describe landslidegenerated tsunamis and also long waves induced by moving atmospheric pressure distributions. We discuss particular and general solutions. We then compare our results with numerical solutions of the same equation and...
متن کاملSPH Model of Solitary Waves Shoaling on a Mild Sloping Beach
Shoaling of solitary waves on a uniform plane beach connected to a constant-depth wave tank is investigated numerically using the smoothed particle hydrodynamics (SPH) method. The characteristics of water surface elevations have been analyzed for wave shoaling. To test the validity of the numerical model, the relative wave heights, the time histories of the free surface profiles are measured at...
متن کاملNumerical Modeling and Experiments for Solitary Wave Shoaling and Breaking over a Sloping Beach
This research deals with the validation of fluid dynamic models, used for simulating shoaling and breaking solitary waves on slopes, based on experiments performed at the Ecole Supérieure d’Ingénieurs de Marseille’s (ESIM) laboratory. A separate paper, also presented at this conference, reports on experiments. In a first part of this work, a fully nonlinear potential flow model based on a Bound...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1987
ISSN: 0022-247X
DOI: 10.1016/0022-247x(87)90284-8