Deepwater Wave Height Given Runup Exceeded By 2 Percent Of Runup Crests Calculator

Formula Used:

\[ H_d = \frac{R_{2\%}}{1.86 \times \varepsilon_0^{0.71}} \]

Deepwater Wave Height:

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1. What is Deepwater Wave Height?

Deepwater Wave Height refers to the measurement of the vertical distance between the trough and the crest of a wave in deep water. It is a crucial parameter in coastal engineering and oceanography for understanding wave behavior and its impact on coastal structures.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ H_d = \frac{R_{2\%}}{1.86 \times \varepsilon_0^{0.71}} \]

Where:

\( H_d \) — Deepwater Wave Height (m)
\( R_{2\%} \) — Runup Exceeded by 2 Percent of the Runup Crests (m)
\( \varepsilon_0 \) — Deepwater Surf Similarity Parameter

Explanation: This formula calculates the deepwater wave height based on the runup exceeded by 2% of runup crests and the deepwater surf similarity parameter, which compares the wave surface slope to the bed slope in the surf zone.

3. Importance of Deepwater Wave Height Calculation

Details: Accurate deepwater wave height estimation is crucial for coastal engineering projects, shoreline protection, harbor design, and understanding coastal erosion processes. It helps in predicting wave behavior and its impact on coastal structures.

4. Using the Calculator

Tips: Enter the runup exceeded by 2% of runup crests in meters and the deepwater surf similarity parameter. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is Runup Exceeded by 2 Percent of the Runup Crests?
A: It 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.

Q2: What is Deepwater Surf Similarity Parameter?
A: It compares the wave surface slope to the bed slope in the surf zone and represents important features of the hydrodynamics of the surf zone.

Q3: When is this calculation most useful?
A: This calculation is particularly useful in coastal engineering for designing breakwaters, seawalls, and other coastal protection structures.

Q4: Are there limitations to this formula?
A: The formula provides an estimation and may have limitations in extreme wave conditions or complex coastal geometries. Field measurements are recommended for critical applications.

Q5: What units should be used for input values?
A: Runup should be entered in meters, and the surf similarity parameter is dimensionless.