Evaluation of the wave models SWAN and STWAVE in shallow water using nested schemes

2012 ◽  
pp. 495-500
Keyword(s):  
1985 ◽  
pp. 215-220
Author(s):  
E. Bouws ◽  
J. J. Ephraums ◽  
J. A. Ewing ◽  
P. E. Francis ◽  
H. Gunther ◽  
...  
Keyword(s):  

2020 ◽  
Vol 30 (03) ◽  
pp. 2050036 ◽  
Author(s):  
Jibin Li ◽  
Guanrong Chen ◽  
Jie Song

For three two-component shallow water wave models, from the approach of dynamical systems and the singular traveling wave theory developed in [Li & Chen, 2007], under different parameter conditions, all possible bounded solutions (solitary wave solutions, pseudo-peakons, periodic peakons, as well as smooth periodic wave solutions) are derived. More than 19 explicit exact parametric representations are obtained. Of more interest is that, for the integrable two-component generalization of the Camassa–Holm equation, it is found that its [Formula: see text]-traveling wave system has a family of pseudo-peakon wave solutions. In addition, its [Formula: see text]-traveling wave system has two families of uncountably infinitely many solitary wave solutions. The new results complete a recent study by Dutykh and Ionescu-Kruse [2016].


1999 ◽  
Vol 54 (3-4) ◽  
pp. 272-274
Author(s):  
Woo-Pyo Hong ◽  
Young-Dae Jung

We perform a computerized symbolic computation to find some general solitonic solutions for the general fifth-order shal-low water-wave models. Applying the tanh-typed method, we have found certain new exact solitary wave solutions. The pre-viously published solutions turn out to be special cases with restricted model parameters.


2020 ◽  
Vol 8 (3) ◽  
pp. 196
Author(s):  
Haixiao Jing ◽  
Yanyan Gao ◽  
Changgen Liu ◽  
Jingming Hou

Understanding the propagation of landslide-generated water waves is of great help against tsunami hazards. In order to investigate the effects of landslide shapes on the far-field leading wave generated by a submerged landslide at a constant depth, three linear wave models with different degrees of dispersive properties are employed in this study. The linear fully dispersive model is then validated by comparing the results against the experimental data available for landslides with a low Froude number. Three simplified shapes of landslides with the same volume, which are unnatural for a body of incoherent material, are used to investigate the effects of landslide shapes on the far-field properties of the generated leading wave over a flat seabed. The results show that the far-field leading crest over a constant depth is independent of the exact landslide shape and is invalid at a shallow water depth. Therefore, the most popular non-dispersive model (also called the shallow water wave model) cannot be used to reproduce the phenomenon. The weakly dispersive wave model can predict this phenomenon well. If only the leading wave is considered, this model is accurate up to at least μ = h0/Lc = 0.6, where h0 is the water depth and Lc denotes the characteristic length of the landslide.


1985 ◽  
pp. 201-205 ◽  
Author(s):  
E. Bouws ◽  
J. J. Ephraums ◽  
J. A. Ewing ◽  
P. E. Francis ◽  
H. Günther ◽  
...  

2004 ◽  
Vol 15 (03) ◽  
pp. 363-370 ◽  
Author(s):  
WOO-PYO HONG ◽  
SEOUNG-HWAN PARK

Based on the two recent extended tanh-function methods, we find traveling-wave solutions for the general shallow water wave models. The obtained solutions include periodical, singular and solitary-wave solutions.


2001 ◽  
Vol 12 (06) ◽  
pp. 879-888 ◽  
Author(s):  
YI-TIAN GAO ◽  
BO TIAN

For the general fifth-order shallow water wave models, we perform computerized symbolic computation to obtain two auto-Bäcklund transformations and four families of the bell-shaped solitonic solutions, which are exact analytic.


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