Reflection and damping of linear water waves by a multi-porosity vertical porous structure placed on a step-type raised seabed

2021 ◽  
Author(s):  
Subhadra Mishra ◽  
Sunanda Saha ◽  
Santu Das ◽  
Swaroop Nandan Bora
Keyword(s):  
Porous Structure ◽  
Water Waves ◽  
Step Type ◽  
Linear Water Waves

scholarly journals Modified Kawahara equation within a fractional derivative with non-singular kernel

2018 ◽  
Vol 22 (2) ◽  
pp. 789-796 ◽  
Author(s):  
Devendra Kumar ◽  
Jagdev Singh ◽  
Dumitru Baleanu
Keyword(s):  
Fractional Derivative ◽  
Numerical Solution ◽  
Water Waves ◽  
Iterative Scheme ◽  
Singular Kernel ◽  
Kawahara Equation ◽  
Long Wavelength ◽  
Exponential Kernel ◽  
The Stability ◽  
Linear Water Waves

The article addresses a time-fractional modified Kawahara equation through a fractional derivative with exponential kernel. The Kawahara equation describes the generation of non-linear water-waves in the long-wavelength regime. The numerical solution of the fractional model of modified version of Kawahara equation is derived with the help of iterative scheme and the stability of applied technique is established. In order to demonstrate the usability and effectiveness of the new fractional derivative to describe water-waves in the long-wavelength regime, numerical results are presented graphically.

Non-linear water waves on shearing flows

1994 ◽  
Vol 10 (2) ◽  
pp. 97-102 ◽  
Author(s):  
Chen Yaosong ◽  
Ling Guocan ◽  
Jiang Tao
Keyword(s):  
Water Waves ◽  
Non Linear ◽  
Linear Water Waves

Linear Water Waves: A Mathematical Approach

2003 ◽  
Vol 56 (2) ◽  
pp. B23-B24
Author(s):  
N Kuznetsov, ◽  
V Maz’ya, ◽  
B Vainberg, ◽  
J Miles,
Keyword(s):  
Water Waves ◽  
Mathematical Approach ◽  
Linear Water Waves

The role of drift mass in the kinetic energy and momentum of periodic water waves and sound waves

1997 ◽  
Vol 331 ◽  
pp. 429-438 ◽  
Author(s):  
CHIA-SHUN YIH
Keyword(s):  
Kinetic Energy ◽  
Water Waves ◽  
Three Dimensional ◽  
Periodic Waves ◽  
Sound Waves ◽  
Linear Waves ◽  
Energy And Momentum ◽  
Linear Water Waves ◽  
Wave Momentum

For two-dimensional periodic water waves or sound waves, the kinetic energy per wavelength is ½mdc2, and the momentum per wavelength is ±mdc, where c is the wave velocity, and md is the drift mass per wavelength. These results also hold for three-dimensional periodic waves, for which the kinetic energy, momentum, and drift mass are all for one wave cell, the area of which is the product of the wavelengths in two perpendicular directions.The results obtained are rigorous, and not restricted to linear waves or even to nonlinear symmetric waves. For linear water waves, in particular, the kinetic energy can be shown to be equal to the sum of the potential energy and the surface energy (due to surface tension), so that the total energy E is twice the kinetic energy, andformula hereMcIntyre's (1981) contention that wave momentum is a myth is discussed at length for both water waves and sound waves.

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