scholarly journals SHALLOW WATER WAVE CHARACTERISTICS

1972 ◽  
Vol 1 (13) ◽  
pp. 16
Author(s):  
Winfried Siefert

Prototype data from 24 wave stations on and around the tidal flats south of the Elbe estuary enable us to elaborate special shallow water wave characteristics, concerning the variations and correlations of heights, periods, lengths and velocities. This paper deals with some interesting aspects from the engineer's point of view. It turns out that the steepness factor — or H L —^o- of breaking waves is much smaller than of nong- T^ breaking waves and that steepness is no suitable parameter to describe a natural wave spectrum in shallow waters. On the tidal flats the maximum wave heights only depend on the depth of water, not on the steepness. Moreover the possible wave height proves to become much higher than theoretically predicted, especially in depths of water less than 2 m.

2011 ◽  
Vol 1 (7) ◽  
pp. 56
Author(s):  
Takeshi Ijima ◽  
Shoji Shato ◽  
Hisashi Aono

General aspects of wave characteristics on the Pacific Coast of the main land and on the coast of Ise Bay caused by the Ise-wan Typhoon are studied on the bases of the observed wave data, calculated wave heights by the authors' method of forecasting shallow water wave and the results of the field inspection of damages by the typhoon.


1983 ◽  
Author(s):  
R.G. Bea ◽  
N.W. Lai ◽  
A.W. Niedoroda ◽  
G.H. Moore

1974 ◽  
Vol 1 (14) ◽  
pp. 24
Author(s):  
Winfried Siefert

A new criterion for shallow water wave analysis is evaluated from prototype data off the German coast on the reef and wadden sea areas south of the outer Elbe river. Correlations of mean wave heights H with mean wave peri- - H ods T, and wave height distribution factors C. /•, = —l/3 t-^ respectively show that the mean periods and both complete height and period distributions of waves in shallow water can be expressed as functions of mean height and topography. So the mean wave height H proves to be the characteristic parameter for the description of the complete shallow water wave climate. The upper envelop of the values H = f (meteorology, topography) is defined as the case of fully developed sea, which leads to the function of the highest mean wave heights Hmax.


Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1439
Author(s):  
Chaudry Masood Khalique ◽  
Karabo Plaatjie

In this article, we investigate a two-dimensional generalized shallow water wave equation. Lie symmetries of the equation are computed first and then used to perform symmetry reductions. By utilizing the three translation symmetries of the equation, a fourth-order ordinary differential equation is obtained and solved in terms of an incomplete elliptic integral. Moreover, with the aid of Kudryashov’s approach, more closed-form solutions are constructed. In addition, energy and linear momentum conservation laws for the underlying equation are computed by engaging the multiplier approach as well as Noether’s theorem.


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