Distribution of ocean waves by Rayleigh

In summary, the Rayleigh distribution is found to be satisfactory for wave heights as long as wave amplitudes are small compared to mean depth, due to multiple sources contributing small amounts of power.
  • #1
Dbe.098
I heard that the analysis of wave measurements close to shore verifies that as long as wave amplitudes are small with respect to mean depth a Rayleigh distribution remains satisfactory of wave heights, but how ?
 
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  • #2
Dbe.098 said:
I heard that the analysis of wave measurements close to shore verifies that as long as wave amplitudes are small with respect to mean depth a Rayleigh distribution remains satisfactory of wave heights, but how ?

The Rayleigh Distribution occurs when there are many sources of waves arriving at the observer and combining. Each one must make only a small contribution to the total. The waves have arbitrary phase and amplitude, but the total "sending" power is constant.
 

Related to Distribution of ocean waves by Rayleigh

1. What is the Rayleigh distribution and how does it relate to ocean waves?

The Rayleigh distribution is a probability distribution that describes the amplitude of random waves. In the context of ocean waves, it is used to model the distribution of wave heights and can help predict the likelihood of encountering certain wave heights in a given area.

2. How is the Rayleigh distribution used to study ocean waves?

The Rayleigh distribution can be used to analyze data from wave height measurements, as well as to make predictions about future wave conditions. It is also used in ocean engineering to design structures that can withstand waves of certain heights.

3. What factors affect the distribution of ocean waves according to the Rayleigh model?

The Rayleigh distribution takes into account various factors, such as wind speed, wind direction, water depth, and wave period, to determine the distribution of ocean waves. These factors can influence the amplitude and frequency of waves in a given area.

4. Can the Rayleigh distribution accurately predict extreme wave events?

While the Rayleigh distribution can provide insights into the general distribution of ocean waves, it may not be able to accurately predict extreme wave events, such as rogue waves. Other factors, such as sea state and bathymetry, may also need to be considered for more accurate predictions.

5. How does the Rayleigh distribution compare to other models for ocean wave distribution?

The Rayleigh distribution is one of several statistical models used to study the distribution of ocean waves. Other models, such as the Gaussian distribution and the Weibull distribution, may be more appropriate for certain types of waves or in different ocean environments. It is important to consider the limitations and assumptions of each model when using them to study ocean waves.

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