Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient Calculator

✖The Wave Height for Surface Gravity Waves refers to the vertical distance between the trough (bottom) and crest (top) of a wave, measured from sea level.ⓘ Wave Height for Surface Gravity Waves [H_w]			+10% -10%
✖Shoaling Coefficient is defined as the ratio of wave height (Hi) at a particular point of interest to the original or deep water wave height (Ho).ⓘ Shoaling Coefficient [K_s]			+10% -10%
✖Refraction Coefficient is a parameter used to describe how waves change direction as they propagate from deep water into shallower water near the coastline.ⓘ Refraction Coefficient [K_r]			+10% -10%

✖Wave Height in Deepwater refers to the vertical distance between the trough (lowest point) and the crest (highest point) of a wave when it is far from any influence of the sea floor.ⓘ Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient [H_o]

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Formula

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Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient

Formula

`"H"_{"o"} = "H"_{"w"}/("K"_{"s"}*"K"_{"r"})`

Example

`"31.74603m"="3m"/("0.945"*"0.1")`

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Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Height in Deepwater = Wave Height for Surface Gravity Waves/(Shoaling Coefficient*Refraction Coefficient)
H_o = H_w/(K_s*K_r)
This formula uses 4 Variables

Variables Used

Wave Height in Deepwater - (Measured in Meter) - Wave Height in Deepwater refers to the vertical distance between the trough (lowest point) and the crest (highest point) of a wave when it is far from any influence of the sea floor.
Wave Height for Surface Gravity Waves - (Measured in Meter) - The Wave Height for Surface Gravity Waves refers to the vertical distance between the trough (bottom) and crest (top) of a wave, measured from sea level.
Shoaling Coefficient - Shoaling Coefficient is defined as the ratio of wave height (Hi) at a particular point of interest to the original or deep water wave height (Ho).
Refraction Coefficient - Refraction Coefficient is a parameter used to describe how waves change direction as they propagate from deep water into shallower water near the coastline.

STEP 1: Convert Input(s) to Base Unit

Wave Height for Surface Gravity Waves: 3 Meter --> 3 Meter No Conversion Required
Shoaling Coefficient: 0.945 --> No Conversion Required
Refraction Coefficient: 0.1 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_o = H_w/(K_s*K_r) --> 3/(0.945*0.1)

Evaluating ... ...

H_o = 31.7460317460317

STEP 3: Convert Result to Output's Unit

31.7460317460317 Meter --> No Conversion Required

FINAL ANSWER

31.7460317460317 ≈ 31.74603 Meter <-- Wave Height in Deepwater

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Surface Gravity Waves » Shoaling, Refraction and Breaking » Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

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< 16 Shoaling, Refraction and Breaking Calculators

Shoaling Coefficient

Go Shoaling Coefficient = (tanh(Wave Number for Water Wave*Coastal Mean Depth)*(1+(2*Wave Number for Water Wave*Coastal Mean Depth/sinh(2*Wave Number for Water Wave*Coastal Mean Depth))))^-0.5

Shoaling Coefficient given Wave Celerity

Go Shoaling Coefficient = sqrt(Deepwater Wave Celerity/(Celerity of the Wave*2*Ratio of Group Velocity to Phase Velocity))

Beach Slope given Breaking Wave and Wave Height at Breaking Point

Go Beach Slope = Breaking Wave*sqrt(Wave Height for Surface Gravity Waves/Deep-Water Wavelength)

Breaking Wave given wave height at Breaking Point

Go Breaking Wave = Beach Slope/sqrt(Wave Height for Surface Gravity Waves/Deep-Water Wavelength)

Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient

Go Wave Height in Deepwater = Wave Height for Surface Gravity Waves/(Shoaling Coefficient*Refraction Coefficient)

Refraction Coefficient given Relative Change of Wave Height

Go Refraction Coefficient = Wave Height for Surface Gravity Waves/(Wave Height in Deepwater*Shoaling Coefficient)

Wave Height given Shoaling Coefficient and Refraction Coefficient

Go Wave Height for Surface Gravity Waves = Wave Height in Deepwater*Shoaling Coefficient*Refraction Coefficient

Refraction Coefficient

Go Refraction Coefficient = sqrt(Distance Between Two Rays at Deepwater/Distance Between Two Rays)

Wave Height at Breaking Point given Breaking Wave and Wave Height at Breaking Point

Go Wave Height for Surface Gravity Waves = (Deep-Water Wavelength*Beach Slope^2)/Breaking Wave^2

Deepwater Wavelength given Wave Breaking and Wave Height at Breaking Point

Go Deep-Water Wavelength = (Breaking Wave^2*Wave Height for Surface Gravity Waves)/Beach Slope^2

Distance between Two Rays at General Point

Go Distance Between Two Rays = Distance Between Two Rays at Deepwater/Refraction Coefficient^2

Shoaling Coefficient in Shallow Water

Go Shoaling Coefficient = 0.4466*(Deep-Water Wavelength/Water Depth in Ocean)^(1/4)

Water Depth when Reduced Shoaling Coefficient in shallow Water

Go Water Depth in Ocean = Deep-Water Wavelength/(Shoaling Coefficient/0.2821)^2

Deepwater Wavelength for Shoaling Coefficient in Shallow Water

Go Deep-Water Wavelength = (Shoaling Coefficient/0.4466)^4*Water Depth in Ocean

Wave Length for Reduced Shoaling Coefficient in Shallow Water

Go Deep-Water Wavelength = Water Depth in Ocean*(Shoaling Coefficient/0.2821)^2

Water Depth given Shoaling Coefficient in Shallow Water

Go Water Depth in Ocean = Deep-Water Wavelength/(Shoaling Coefficient/0.4466)^4

Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient Formula

Wave Height in Deepwater = Wave Height for Surface Gravity Waves/(Shoaling Coefficient*Refraction Coefficient)
H_o = H_w/(K_s*K_r)

What is Shoaling Coefficient (KS)?

The Shoaling Coefficient (KS) is defined as the ratio of wave height (Hi) at a particular point of interest to the original or deep water wave height (Ho). As a first approximation, the assumption is made that there exists no loss or gain of energy from the system (conservation of energy flux).

How to Calculate Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient?

Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient calculator uses Wave Height in Deepwater = Wave Height for Surface Gravity Waves/(Shoaling Coefficient*Refraction Coefficient) to calculate the Wave Height in Deepwater, The Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient is defined as the elevation of of a crest and a neighboring trough. Wave Height in Deepwater is denoted by H_o symbol.

How to calculate Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient using this online calculator? To use this online calculator for Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient, enter Wave Height for Surface Gravity Waves (H_w), Shoaling Coefficient (K_s) & Refraction Coefficient (K_r) and hit the calculate button. Here is how the Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient calculation can be explained with given input values -> 31.74603 = 3/(0.945*0.1).

FAQ

What is Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient?

The Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient is defined as the elevation of of a crest and a neighboring trough and is represented as H_o = H_w/(K_s*K_r) or Wave Height in Deepwater = Wave Height for Surface Gravity Waves/(Shoaling Coefficient*Refraction Coefficient). The Wave Height for Surface Gravity Waves refers to the vertical distance between the trough (bottom) and crest (top) of a wave, measured from sea level, Shoaling Coefficient is defined as the ratio of wave height (Hi) at a particular point of interest to the original or deep water wave height (Ho) & Refraction Coefficient is a parameter used to describe how waves change direction as they propagate from deep water into shallower water near the coastline.

How to calculate Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient?

The Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient is defined as the elevation of of a crest and a neighboring trough is calculated using Wave Height in Deepwater = Wave Height for Surface Gravity Waves/(Shoaling Coefficient*Refraction Coefficient). To calculate Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient, you need Wave Height for Surface Gravity Waves (H_w), Shoaling Coefficient (K_s) & Refraction Coefficient (K_r). With our tool, you need to enter the respective value for Wave Height for Surface Gravity Waves, Shoaling Coefficient & Refraction Coefficient 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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