Deepwater Surf Similarity Parameter given Runup Calculator

✖Runup Exceeded by 2 Percent of the Runup Crests is the maximum vertical extent of wave uprush on a beach above the still water level that is exceeded by 2% of the runup values in the distribution.ⓘ Runup Exceeded by 2 Percent of the Runup Crests [R_2%]			+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 compares the wave surface slope to the bed slope in the surf zone and represents important features of the hydrodynamics of the surf zone.ⓘ Deepwater Surf Similarity Parameter given Runup [ε₀]

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Deepwater Surf Similarity Parameter given Runup Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deepwater Surf Similarity Parameter = (Runup Exceeded by 2 Percent of the Runup Crests/(Deepwater Wave Height*1.86))^(1/0.71)
ε₀ = (R_2%/(H_d*1.86))^(1/0.71)
This formula uses 3 Variables

Variables Used

Deepwater Surf Similarity Parameter - Deepwater Surf Similarity Parameter compares the wave surface slope to the bed slope in the surf zone and represents important features of the hydrodynamics of the surf zone.
Runup Exceeded by 2 Percent of the Runup Crests - (Measured in Meter) - Runup Exceeded by 2 Percent of the Runup Crests is the maximum vertical extent of wave uprush on a beach above the still water level that is exceeded by 2% of the runup values in the distribution.
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

Runup Exceeded by 2 Percent of the Runup Crests: 65 Meter --> 65 Meter No Conversion Required
Deepwater Wave Height: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε₀ = (R_2%/(H_d*1.86))^(1/0.71) --> (65/(6*1.86))^(1/0.71)

Evaluating ... ...

ε₀ = 11.9623284089291

STEP 3: Convert Result to Output's Unit

11.9623284089291 --> No Conversion Required

FINAL ANSWER

11.9623284089291 ≈ 11.96233 <-- Deepwater Surf Similarity Parameter

(Calculation completed in 00.013 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Surf Zone Hydrodynamics » Surf Zone Waves » Irregular Waves » Deepwater Surf Similarity Parameter given Runup

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< Irregular Waves Calculators

Runup Exceeded by 2 Percent of Runup Crests

LaTeX Go Runup Exceeded by 2 Percent of the Runup Crests = Deepwater Wave Height*1.86*Deepwater Surf Similarity Parameter^0.71

Deepwater Wave Height given Maximum Runup

LaTeX Go Deepwater Wave Height of Coast = Wave Runup/(2.32*Deepwater Surf Similarity Parameter^0.77)

Maximum Runup

LaTeX Go Wave Runup = Deepwater Wave Height of Coast*2.32*Deepwater Surf Similarity Parameter^0.77

Deepwater Surf Similarity Parameter given Maximum Runup

LaTeX Go Deepwater Surf Similarity Parameter = (Wave Runup/Deepwater Wave Height*2.32)^(1/0.77)

Deepwater Surf Similarity Parameter given Runup Formula

LaTeX Go

Deepwater Surf Similarity Parameter = (Runup Exceeded by 2 Percent of the Runup Crests/(Deepwater Wave Height*1.86))^(1/0.71)
ε₀ = (R_2%/(H_d*1.86))^(1/0.71)

What is Wave Runup?

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.

How to Calculate Deepwater Surf Similarity Parameter given Runup?

Deepwater Surf Similarity Parameter given Runup calculator uses Deepwater Surf Similarity Parameter = (Runup Exceeded by 2 Percent of the Runup Crests/(Deepwater Wave Height*1.86))^(1/0.71) to calculate the Deepwater Surf Similarity Parameter, The Deepwater Surf Similarity Parameter given Runup formula is defined as a dimensionless parameter used to model several effects of (breaking) surface gravity waves on beaches and coastal structures given maximum onshore elevation reached by waves, relative to the shoreline position in the absence of waves. Deepwater Surf Similarity Parameter is denoted by ε₀ symbol.

How to calculate Deepwater Surf Similarity Parameter given Runup using this online calculator? To use this online calculator for Deepwater Surf Similarity Parameter given Runup, enter Runup Exceeded by 2 Percent of the Runup Crests (R_2%) & Deepwater Wave Height (H_d) and hit the calculate button. Here is how the Deepwater Surf Similarity Parameter given Runup calculation can be explained with given input values -> 11.96233 = (65/(6*1.86))^(1/0.71).

FAQ

What is Deepwater Surf Similarity Parameter given Runup?

The Deepwater Surf Similarity Parameter given Runup formula is defined as a dimensionless parameter used to model several effects of (breaking) surface gravity waves on beaches and coastal structures given maximum onshore elevation reached by waves, relative to the shoreline position in the absence of waves and is represented as ε₀ = (R_2%/(H_d*1.86))^(1/0.71) or Deepwater Surf Similarity Parameter = (Runup Exceeded by 2 Percent of the Runup Crests/(Deepwater Wave Height*1.86))^(1/0.71). Runup Exceeded by 2 Percent of the Runup Crests is the maximum vertical extent of wave uprush on a beach above the still water level that is exceeded by 2% of the runup values in the distribution & 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 Deepwater Surf Similarity Parameter given Runup?

The Deepwater Surf Similarity Parameter given Runup formula is defined as a dimensionless parameter used to model several effects of (breaking) surface gravity waves on beaches and coastal structures given maximum onshore elevation reached by waves, relative to the shoreline position in the absence of waves is calculated using Deepwater Surf Similarity Parameter = (Runup Exceeded by 2 Percent of the Runup Crests/(Deepwater Wave Height*1.86))^(1/0.71). To calculate Deepwater Surf Similarity Parameter given Runup, you need Runup Exceeded by 2 Percent of the Runup Crests (R_2%) & Deepwater Wave Height (H_d). With our tool, you need to enter the respective value for Runup Exceeded by 2 Percent of the Runup Crests & Deepwater 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 Deepwater Surf Similarity Parameter?

In this formula, Deepwater Surf Similarity Parameter uses Runup Exceeded by 2 Percent of the Runup Crests & Deepwater Wave Height. We can use 3 other way(s) to calculate the same, which is/are as follows -

Deepwater Surf Similarity Parameter = (Wave Runup/Deepwater Wave Height*2.32)^(1/0.77)
Deepwater Surf Similarity Parameter = (Average of the Highest 1/10 of the Runup/(Deepwater Wave Height*1.7))^(1/0.71)
Deepwater Surf Similarity Parameter = (Average of the Highest 1/3 of the Runups/Deepwater Wave Height*1.38)^(1/0.7)

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