Surf Similarity Parameter given Wave Runup above Mean Water Level Calculator

✖Wave Runup is the maximum onshore elevation reached by waves, relative to the shoreline position in the absence of waves.ⓘ Wave Runup [R]			+10% -10%
✖Deepwater Wave Height refers to the measurement of the vertical distance between the trough and the crest of a wave in deep water.ⓘ Deepwater Wave Height [H_d]			+10% -10%

✖Deepwater Surf Similarity Parameter is a dimensionless parameter used to model several effects of (breaking) surface gravity waves on beaches and coastal structures.ⓘ Surf Similarity Parameter given Wave Runup above Mean Water Level [ε_o']

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Surf Similarity Parameter given Wave Runup above Mean Water Level

Formula

`"ε"_{"o'"} = "R"/"H"_{"d"}`

Example

`"3.333333"="20m"/"6.0m"`

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Surf Similarity Parameter given Wave Runup above Mean Water Level Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deepwater Surf Similarity Parameter = Wave Runup/Deepwater Wave Height
ε_o' = R/H_d
This formula uses 3 Variables

Variables Used

Deepwater Surf Similarity Parameter - Deepwater Surf Similarity Parameter is a dimensionless parameter used to model several effects of (breaking) surface gravity waves on beaches and coastal structures.
Wave Runup - (Measured in Meter) - Wave Runup is the maximum onshore elevation reached by waves, relative to the shoreline position in the absence of waves.
Deepwater Wave Height - (Measured in Meter) - Deepwater Wave Height refers to the measurement of the vertical distance between the trough and the crest of a wave in deep water.

STEP 1: Convert Input(s) to Base Unit

Wave Runup: 20 Meter --> 20 Meter No Conversion Required
Deepwater Wave Height: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_o' = R/H_d --> 20/6

Evaluating ... ...

ε_o' = 3.33333333333333

STEP 3: Convert Result to Output's Unit

3.33333333333333 --> No Conversion Required

FINAL ANSWER

3.33333333333333 ≈ 3.333333 <-- Deepwater Surf Similarity Parameter

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Surf Zone Hydrodynamics » Wave Setup » Surf Similarity Parameter given Wave Runup above Mean Water Level

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< 20 Wave Setup Calculators

Wave Height given Mean Water Surface Elevation Set down for Regular Waves

Go Wave Height = sqrt(Mean Water Surface Elevation of Coast*8*sinh(4*pi*Water Depth/Wavelength of Coast)/(2*pi/Wavelength of Coast))

Set down for Regular Waves

Go Mean Water Surface Elevation of Coast = (-1/8)*((Wave Height^2*(2*pi/Wavelength of Coast))/(sinh(4*pi*Water Depth/Wavelength of Coast)))

Breaker Depth Index given Set-down at Breaker Point at Still-Water Shoreline

Go Breaker Depth Index = sqrt(8/3*((Water Depth at Breaking/(Setup at the Still-Water Shore Line-Set Down at the Breaker Point))-1))

Shoreward Displacement of Shoreline

Go Shoreward Displacement of the Shoreline = Setup at the Still-Water Shore Line/(tan(Beach Slope)-Cross-Shore Balance Momentum)

Wave Height given Cross-Shore Component

Go Wave Height = sqrt((16*Coastal Cross-Shore Component)/(3*Water Density*[g]*Water Depth))

Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline

Go Water Depth at Breaking = (Setup at the Still-Water Shore Line-Set Down at the Breaker Point)/(1/(1+(8/(3*Coastal Breaker Depth Index^2))))

Setdown at Breaker Point at Still-Water Shoreline

Go Set Down at the Breaker Point = Setup at the Still-Water Shore Line-(1/(1+(8/(3*Coastal Breaker Depth Index^2))))*Water Depth at Breaking

Setup at Still-Water Shoreline

Go Setup at the Still-Water Shore Line = Set Down at the Breaker Point+(1/(1+(8/(3*Coastal Breaker Depth Index^2))))*Water Depth at Breaking

Setup at Mean Shoreline

Go Setup at the Mean Shoreline = Setup at the Still-Water Shore Line+(Cross-Shore Balance Momentum*Shoreward Displacement of the Shoreline)

Water Depth given Cross Shore Component

Go Water Depth = Coastal Cross-Shore Component/((3/16)*Water Density*[g]*Wave Height^2)

Cross-Shore Component of Cross-Shore directed Radiation Stress

Go Coastal Cross-Shore Component = (3/16)*Water Density*[g]*Water Depth*Wave Height^2

Beach Slope given Nonbreaking Upper Limit of Runup

Go Beach Slope = pi/2*(Wave Runup/Deepwater Wave Height of Ocean*(2*pi)^0.5)^4

Deepwater Wave Height given Nonbreaking Upper Limit of Runup on Uniform Slope

Go Deepwater Wave Height = Wave Runup/((2*pi)^0.5*(pi/2*Beach Slope)^(1/4))

Nonbreaking Upper Limit of Runup on Uniform Slope

Go Wave Runup = Deepwater Wave Height*(2*pi)^0.5*(pi/(2*Beach Slope))^(1/4)

Surf Similarity Parameter given Wave Runup above Mean Water Level

Go Deepwater Surf Similarity Parameter = Wave Runup/Deepwater Wave Height

Deepwater Wave Height given Wave Runup above Mean Water Level

Go Deepwater Wave Height = Wave Runup/Deepwater Surf Similarity Parameter

Wave Runup above Mean Water Level

Go Wave Runup = Deepwater Wave Height*Deepwater Surf Similarity Parameter

Mean Water Surface Elevation given Total Water Depth

Go Mean Water Surface Elevation = Coastal Water Depth-Still-Water Depth

Still Water Depth given Total Water Depth

Go Still-Water Depth = Coastal Water Depth-Mean Water Surface Elevation

Total Water Depth

Go Coastal Water Depth = Still-Water Depth+Mean Water Surface Elevation

Surf Similarity Parameter given Wave Runup above Mean Water Level Formula

Deepwater Surf Similarity Parameter = Wave Runup/Deepwater Wave Height
ε_o' = R/H_d

What is Wave Runup & Wave Setup and Setdown?

Wave runup is the maximum vertical extent of wave uprush on a beach or structure above the still water level (SWL). It is the sum of wave set-up and swash uprush (see Swash Zone Dynamics) and must be added to the water level reached as a result of tides and wind set-up.
The wave setup is the increase in mean water level due to the presence of breaking waves. Similarly, wave set down is a wave-induced decrease of the mean water level before the waves break.
The wave setdown is a wave-induced decrease of the mean water level before the waves break (during the shoaling process). For short, the whole phenomenon is often denoted as wave setup, including both increase and decrease of mean elevation.

Define Breaking Wave & cause of Regular Waves.

In fluid dynamics, a breaking wave or breaker is a wave whose amplitude reaches a critical level at which some process can suddenly start to occur causing large amounts of wave energy to be transformed into turbulent kinetic energy.
Waves are most commonly caused by wind. Wind-driven waves, or surface waves, are created by the friction between wind and surface water. As the wind blows across the surface of the ocean or a lake, the continual disturbance creates a wave crest. The gravitational pull of the Sun and Moon on the Earth causes waves.

How to Calculate Surf Similarity Parameter given Wave Runup above Mean Water Level?

Surf Similarity Parameter given Wave Runup above Mean Water Level calculator uses Deepwater Surf Similarity Parameter = Wave Runup/Deepwater Wave Height to calculate the Deepwater Surf Similarity Parameter, The Surf Similarity Parameter given Wave Runup above Mean Water Level formula is defined as a dimensionless parameter used to model several effects of (breaking) surface gravity waves on beaches and coastal structures given the maximum onshore elevation reached by waves, relative to the shoreline position in the absence of waves. Deepwater Surf Similarity Parameter is denoted by ε_o' symbol.

How to calculate Surf Similarity Parameter given Wave Runup above Mean Water Level using this online calculator? To use this online calculator for Surf Similarity Parameter given Wave Runup above Mean Water Level, enter Wave Runup (R) & Deepwater Wave Height (H_d) and hit the calculate button. Here is how the Surf Similarity Parameter given Wave Runup above Mean Water Level calculation can be explained with given input values -> 3.333333 = 20/6.

FAQ

What is Surf Similarity Parameter given Wave Runup above Mean Water Level?

The Surf Similarity Parameter given Wave Runup above Mean Water Level formula is defined as a dimensionless parameter used to model several effects of (breaking) surface gravity waves on beaches and coastal structures given the maximum onshore elevation reached by waves, relative to the shoreline position in the absence of waves and is represented as ε_o' = R/H_d or Deepwater Surf Similarity Parameter = Wave Runup/Deepwater Wave Height. Wave Runup is the maximum onshore elevation reached by waves, relative to the shoreline position in the absence of waves & Deepwater Wave Height refers to the measurement of the vertical distance between the trough and the crest of a wave in deep water.

How to calculate Surf Similarity Parameter given Wave Runup above Mean Water Level?

The Surf Similarity Parameter given Wave Runup above Mean Water Level formula is defined as a dimensionless parameter used to model several effects of (breaking) surface gravity waves on beaches and coastal structures given the maximum onshore elevation reached by waves, relative to the shoreline position in the absence of waves is calculated using Deepwater Surf Similarity Parameter = Wave Runup/Deepwater Wave Height. To calculate Surf Similarity Parameter given Wave Runup above Mean Water Level, you need Wave Runup (R) & Deepwater Wave Height (H_d). With our tool, you need to enter the respective value for Wave Runup & Deepwater 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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