Runup Exceeded By 2 Percent Of Runup Crests Calculator

Formula Used:

\[ R2\% = Hd \times 1.86 \times \varepsilon_0^{0.71} \]

Runup Exceeded By 2 Percent Of Runup Crests (R2%):

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1. What is Runup Exceeded By 2 Percent Of Runup Crests?

Runup Exceeded By 2 Percent Of Runup Crests (R2%) 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. It represents an important parameter in coastal engineering for designing coastal structures and assessing flood risks.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ R2\% = Hd \times 1.86 \times \varepsilon_0^{0.71} \]

Where:

\( R2\% \) — Runup exceeded by 2% of runup crests (m)
\( Hd \) — Deepwater wave height (m)
\( \varepsilon_0 \) — Deepwater surf similarity parameter

Explanation: This empirical formula relates wave runup characteristics to deepwater wave conditions and surf similarity parameters, providing a practical method for coastal engineering applications.

3. Importance of R2% Calculation

Details: Accurate calculation of R2% is crucial for coastal structure design, flood risk assessment, and coastal zone management. It helps determine the required freeboard for coastal defenses and assess the vulnerability of coastal areas to wave-induced flooding.

4. Using the Calculator

Tips: Enter deepwater wave height in meters and deepwater surf similarity parameter (dimensionless). Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the deepwater surf similarity parameter?
A: The 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.

Q2: How is deepwater wave height determined?
A: Deepwater wave height is typically measured or estimated from wave buoy data, numerical wave models, or field measurements in deep water conditions.

Q3: What are typical values for R2%?
A: R2% values vary significantly depending on wave conditions and beach characteristics, typically ranging from a few centimeters to several meters.

Q4: Are there limitations to this formula?
A: This empirical formula works well for certain beach conditions but may need adjustment for complex bathymetry, mixed sediment beaches, or unusual wave conditions.

Q5: How is R2% used in coastal engineering?
A: R2% is used to design coastal structures, determine setback lines, assess flood risks, and plan coastal protection measures.