Deepwater Surf Similarity Parameter Given Average Of Highest One Tenth Of Runups Calculator

Deepwater Surf Similarity Parameter Formula:

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

Deepwater Surf Similarity Parameter:

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1. What is Deepwater Surf Similarity Parameter?

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.

2. How Does the Calculator Work?

The calculator uses the Deepwater Surf Similarity Parameter equation:

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

Where:

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

Explanation: This parameter helps in understanding wave breaking characteristics and surf zone dynamics by comparing wave runup to deepwater wave height.

3. Importance of Deepwater Surf Similarity Parameter

Details: Accurate calculation of this parameter is crucial for coastal engineering, shoreline protection design, and understanding wave transformation in the surf zone.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What does the Deepwater Surf Similarity Parameter indicate?
A: It indicates the similarity between wave characteristics in deep water and their transformation in the surf zone, helping predict wave breaking behavior.

Q2: What are typical values for this parameter?
A: Values typically range from 0.5 to 10, with lower values indicating spilling breakers and higher values indicating plunging or surging breakers.

Q3: How is the average of the highest 1/10 of runup measured?
A: It is typically measured through field observations or wave tank experiments, representing the average of the highest 10% of wave runup measurements.

Q4: What factors can affect this parameter?
A: Beach slope, wave period, wave height, and bottom topography can all influence the Deepwater Surf Similarity Parameter.

Q5: How is this parameter used in coastal engineering?
A: It is used to design coastal structures, predict shoreline erosion, and understand sediment transport patterns in the surf zone.