Deepwater Wave Height Given Average Of Highest One Tenth Of Runups Calculator

Formula Used:

\[ H_d = \frac{R_{1/10}}{1.7 \times \varepsilon_0^{0.71}} \]

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.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ H_d = \frac{R_{1/10}}{1.7 \times \varepsilon_0^{0.71}} \]

Where:

\( H_d \) — Deepwater Wave Height (m)
\( R_{1/10} \) — Average of the Highest 1/10 of the Runup (m)
\( \varepsilon_0 \) — Deepwater Surf Similarity Parameter

Explanation: This formula calculates deepwater wave height based on runup measurements and surf similarity parameters, which are important for coastal engineering applications.

3. Importance of Deepwater Wave Height Calculation

Details: Accurate deepwater wave height estimation is crucial for coastal structure design, beach erosion studies, and understanding wave energy distribution in marine environments.

4. Using the Calculator

Tips: Enter the average of the highest 1/10 of the runup in meters and the deepwater surf similarity parameter. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is runup in wave mechanics?
A: Runup is the maximum onshore elevation reached by waves, relative to the shoreline position in the absence of waves.

Q2: What does the surf similarity parameter represent?
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.

Q3: When is this formula typically used?
A: This formula is commonly used in coastal engineering for designing coastal structures and analyzing wave behavior in deep water conditions.

Q4: Are there limitations to this equation?
A: The formula has limitations in extreme wave conditions and may not accurately represent wave behavior in shallow water or complex bathymetry.

Q5: What units should be used for input values?
A: Runup should be in meters, and the surf similarity parameter is dimensionless. The output deepwater wave height will be in meters.