Wave Height of Record for Probability of Exceedance Calculator

✖Significant Wave Height is defined traditionally as the mean wave height of the highest third of the waves.ⓘ Significant Wave Height [H_s]			+10% -10%
✖Probability of Exceedance of Wave Height is a probability of 0 to 100 of waves heights (significant wave height) reaching or being greater than the chosen value.ⓘ Probability of Exceedance of Wave Height [P_H]			+10% -10%

✖Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.ⓘ Wave Height of Record for Probability of Exceedance [H]

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Formula

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Wave Height of Record for Probability of Exceedance

Formula

`"H" = "H"_{"s"}*("P"_{"H"}/e^-2)^0.5`

Example

`"79.99904m"="65m"*("0.205"/e^-2)^0.5`

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Wave Height of Record for Probability of Exceedance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Height = Significant Wave Height*(Probability of Exceedance of Wave Height/e^-2)^0.5
H = H_s*(P_H/e^-2)^0.5
This formula uses 1 Constants, 3 Variables

Constants Used

e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Variables Used

Wave Height - (Measured in Meter) - Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.
Significant Wave Height - (Measured in Meter) - Significant Wave Height is defined traditionally as the mean wave height of the highest third of the waves.
Probability of Exceedance of Wave Height - Probability of Exceedance of Wave Height is a probability of 0 to 100 of waves heights (significant wave height) reaching or being greater than the chosen value.

STEP 1: Convert Input(s) to Base Unit

Significant Wave Height: 65 Meter --> 65 Meter No Conversion Required
Probability of Exceedance of Wave Height: 0.205 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = H_s*(P_H/e^-2)^0.5 --> 65*(0.205/e^-2)^0.5

Evaluating ... ...

H = 79.9990388297654

STEP 3: Convert Result to Output's Unit

79.9990388297654 Meter --> No Conversion Required

FINAL ANSWER

79.9990388297654 ≈ 79.99904 Meter <-- Wave Height

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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National Institute of Technology (NIT), Warangal

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< 11 Wave Statistics Relationships Calculators

Significant Wave Height of Record for Probability of Exceedance

Go Significant Wave Height = Wave Height/(Probability of Exceedance of Wave Height/e^-2)^0.5

Wave Height of Record for Probability of Exceedance

Go Wave Height = Significant Wave Height*(Probability of Exceedance of Wave Height/e^-2)^0.5

Probability of Exceedance of Wave Height

Go Probability of Exceedance of Wave Height = (e^-2)*(Wave Height/Significant Wave Height)^2

Standard Deviation of Wave Height

Go Standard Deviation of Wave Height = 0.463*Root-mean-square Wave Height

Root Mean Square Wave Height

Go Root-mean-square Wave Height = Standard Deviation of Wave Height/0.463

Root Mean Square Wave Height given Significant Wave Height based on Rayleigh Distribution

Go Root-mean-square Wave Height = Significant Wave Height/1.414

Significant Wave Height of Record based upon Rayleigh Distribution

Go Significant Wave Height = 1.414*Root-mean-square Wave Height

Root Mean Square Wave Height given Average of Waves based upon Rayleigh Distribution

Go Root-mean-square Wave Height = Average of All Waves/0.886

Average of Waves based upon Rayleigh Distribution

Go Average of All Waves = 0.886*Root-mean-square Wave Height

Significant Wave Height given Average of Waves

Go Significant Wave Height = 1.596*Average of All Waves

Average of Waves given Significant Wave Height

Go Average of All Waves = Significant Wave Height/1.596

Wave Height of Record for Probability of Exceedance Formula

Wave Height = Significant Wave Height*(Probability of Exceedance of Wave Height/e^-2)^0.5
H = H_s*(P_H/e^-2)^0.5

What is Significant Wave Height?

Significant wave height is defined as the average wave height, from trough to crest, of the highest one-third of the waves. Devised by oceanographer Walter Munk during World War II, the significant wave height provides an estimation of wave heights recorded by a trained observer from a fixed point at sea.

What is the meaning of probability of exceedance?

The Exceedance Probability is the probability that a loss random variable. exceeds a certain amount of loss. This probability is sometimes denoted as EP(x) and is called the Exceedance Probability Curve.

How to Calculate Wave Height of Record for Probability of Exceedance?

Wave Height of Record for Probability of Exceedance calculator uses Wave Height = Significant Wave Height*(Probability of Exceedance of Wave Height/e^-2)^0.5 to calculate the Wave Height, The Wave Height of Record for Probability of Exceedance is defined as a depth parameter in reference to a datum influencing the Rayleigh Distribution of Probability of exceedance of Wave Height. Wave Height is denoted by H symbol.

How to calculate Wave Height of Record for Probability of Exceedance using this online calculator? To use this online calculator for Wave Height of Record for Probability of Exceedance, enter Significant Wave Height (H_s) & Probability of Exceedance of Wave Height (P_H) and hit the calculate button. Here is how the Wave Height of Record for Probability of Exceedance calculation can be explained with given input values -> 79.01742 = 65*(0.205/e^-2)^0.5.

FAQ

What is Wave Height of Record for Probability of Exceedance?

The Wave Height of Record for Probability of Exceedance is defined as a depth parameter in reference to a datum influencing the Rayleigh Distribution of Probability of exceedance of Wave Height and is represented as H = H_s*(P_H/e^-2)^0.5 or Wave Height = Significant Wave Height*(Probability of Exceedance of Wave Height/e^-2)^0.5. Significant Wave Height is defined traditionally as the mean wave height of the highest third of the waves & Probability of Exceedance of Wave Height is a probability of 0 to 100 of waves heights (significant wave height) reaching or being greater than the chosen value.

How to calculate Wave Height of Record for Probability of Exceedance?

The Wave Height of Record for Probability of Exceedance is defined as a depth parameter in reference to a datum influencing the Rayleigh Distribution of Probability of exceedance of Wave Height is calculated using Wave Height = Significant Wave Height*(Probability of Exceedance of Wave Height/e^-2)^0.5. To calculate Wave Height of Record for Probability of Exceedance, you need Significant Wave Height (H_s) & Probability of Exceedance of Wave Height (P_H). With our tool, you need to enter the respective value for Significant Wave Height & Probability of Exceedance of Wave Height and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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