Group velocity for regular waves generated in deep water

In summary, the conversation discusses the potential impact of group velocity on long linear waves generated by a paddle in deep water. The speaker has developed a numerical wave tank and observed that the generated waves are not constant, leading to a question about the relevance of group velocity. The response states that group velocity is affected by various factors, including wave period and water depth, and it is possible that the paddle's oscillation could influence it. However, without more information, it is uncertain how significant the role of group velocity is in this scenario.
  • #1
Cluain
1
0
Does group velocity effect long linear waves generated by a paddle generating waves in deep water?
I have developed a numerical wave tank in CFD at full scale, using a bottom hinged flap paddle that oscillates to produce regular waves, the domain is roughly three wavelengths long, and a beach is provided at the end to dissipate the energy by wave breaking and prevent reflection.
The paddle oscillates with a constant period and amplitude, to create water waves of a corresponding period and amplitude. The generated waves do not appear to be quite constant and I was wondering if group velocity was affecting them or if group velocity is not relevant in this case.
 
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  • #2
If they are true deep water waves, then yes there is dispersion and hence there is a distinct group velocity. But what do you mean the generated waves are not quite constant? Do you have a plot?
 
  • #3


It is possible that group velocity could be affecting the waves generated by the paddle, but it would depend on the specific characteristics of the waves and the paddle's oscillation. Group velocity is the speed at which the group of waves as a whole moves, and it is affected by factors such as wave period, wavelength, and water depth. If the paddle's oscillation is causing a variation in these factors, then it could potentially impact the group velocity and therefore the overall behavior of the waves. However, it is also possible that other factors, such as wave breaking and reflection, are having a greater influence on the waves. Without more specific information about your numerical wave tank and the paddle's oscillation, it is difficult to say for sure whether group velocity is a significant factor in this case.
 

1. What is group velocity for regular waves generated in deep water?

Group velocity for regular waves generated in deep water is the speed at which a group of waves appear to travel. It is the rate at which the energy of a wave group is transferred through the water.

2. How is group velocity different from phase velocity?

Group velocity and phase velocity are two different measures of the speed of a wave. Phase velocity is the speed at which the individual wave crests appear to move, while group velocity is the speed at which a group of waves appears to move as a whole.

3. What factors affect the group velocity of regular waves in deep water?

The group velocity of regular waves in deep water is affected by the wavelength, wave period, and water depth. It is also influenced by the shape of the wave spectrum and the presence of currents or wind.

4. Why is group velocity important in oceanography and engineering?

Group velocity is important in oceanography and engineering because it helps to predict the behavior of wave groups in deep water. It is also used in the design and construction of offshore structures, such as oil platforms and wind turbines, to ensure their stability and safety in rough ocean conditions.

5. Can group velocity be measured in real-world ocean conditions?

Yes, group velocity can be measured in real-world ocean conditions using various methods, such as wave buoys, pressure sensors, and radar. These measurements are important for understanding the behavior of ocean waves and their impact on coastal areas and offshore structures.

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