Significant Wave Height of Record for Probability of Exceedance Calculator

✖Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.ⓘ Wave Height [H]			+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%

✖Significant Wave Height is defined traditionally as the mean wave height of the highest third of the waves.ⓘ Significant Wave Height of Record for Probability of Exceedance [H_s]

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Formula

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Significant Wave Height of Record for Probability of Exceedance

Formula

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

Example

`"65.00078m"="80m"/("0.205"/e^-2)^0.5`

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Significant Wave Height of Record for Probability of Exceedance Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Significant Wave Height - (Measured in Meter) - Significant Wave Height is defined traditionally as the mean wave height of the highest third of the waves.
Wave Height - (Measured in Meter) - Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.
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

Wave Height: 80 Meter --> 80 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_s = H/(P_H/e^-2)^0.5 --> 80/(0.205/e^-2)^0.5

Evaluating ... ...

H_s = 65.0007809601986

STEP 3: Convert Result to Output's Unit

65.0007809601986 Meter --> No Conversion Required

FINAL ANSWER

65.0007809601986 ≈ 65.00078 Meter <-- Significant 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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< 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

Significant Wave Height of Record for Probability of Exceedance Formula

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

What is the elevation of a wave?

In fluid dynamics, the wave height of a surface wave is the difference between the elevations of a crest and a neighbouring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering.

What is Significant Wave Height ?

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

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

Significant Wave Height of Record for Probability of Exceedance calculator uses Significant Wave Height = Wave Height/(Probability of Exceedance of Wave Height/e^-2)^0.5 to calculate the Significant Wave Height, The Significant Wave Height of Record for Probability of Exceedance is defined as the average wave height, from trough to crest, of the highest one-third of the waves. Precisely, the significant wave height is calculated from the energy spectrum of the measured waves. Significant Wave Height is denoted by H_s symbol.

How to calculate Significant Wave Height of Record for Probability of Exceedance using this online calculator? To use this online calculator for Significant Wave Height of Record for Probability of Exceedance, enter Wave Height (H) & Probability of Exceedance of Wave Height (P_H) and hit the calculate button. Here is how the Significant Wave Height of Record for Probability of Exceedance calculation can be explained with given input values -> 65.80828 = 80/(0.205/e^-2)^0.5.

FAQ

What is Significant Wave Height of Record for Probability of Exceedance?

The Significant Wave Height of Record for Probability of Exceedance is defined as the average wave height, from trough to crest, of the highest one-third of the waves. Precisely, the significant wave height is calculated from the energy spectrum of the measured waves and is represented as H_s = H/(P_H/e^-2)^0.5 or Significant Wave Height = Wave Height/(Probability of Exceedance of Wave Height/e^-2)^0.5. Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough & 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 Significant Wave Height of Record for Probability of Exceedance?

The Significant Wave Height of Record for Probability of Exceedance is defined as the average wave height, from trough to crest, of the highest one-third of the waves. Precisely, the significant wave height is calculated from the energy spectrum of the measured waves is calculated using Significant Wave Height = Wave Height/(Probability of Exceedance of Wave Height/e^-2)^0.5. To calculate Significant Wave Height of Record for Probability of Exceedance, you need Wave Height (H) & Probability of Exceedance of Wave Height (P_H). With our tool, you need to enter the respective value for 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.

How many ways are there to calculate Significant Wave Height?

In this formula, Significant Wave Height uses Wave Height & Probability of Exceedance of Wave Height. We can use 2 other way(s) to calculate the same, which is/are as follows -

Significant Wave Height = 1.414*Root-mean-square Wave Height
Significant Wave Height = 1.596*Average of All Waves

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