1. What is Setup at the Still-Water Shore Line?

Setup at the Still-Water Shore Line is the increase in mean water level due to the presence of breaking waves. It represents the wave-induced rise in water level at the shoreline.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \eta_s \) — Setup at the Still-Water Shore Line (m)
• \( \eta_b \) — Set Down at the Breaker Point (m)
• \( \Upsilon_b' \) — Coastal Breaker Depth Index
• \( d_b \) — Water Depth at Breaking (m)

Explanation: This formula calculates the wave setup at the shoreline by considering the setdown at the breaker point, breaker depth index, and water depth at breaking.

3. Importance of Setup Calculation

Details: Accurate setup calculation is crucial for coastal engineering, flood risk assessment, and understanding shoreline changes due to wave action.

4. Using the Calculator

Tips: Enter Set Down at the Breaker Point in meters, Coastal Breaker Depth Index (dimensionless), and Water Depth at Breaking in meters. All values must be valid (Υb' > 0, db > 0).

5. Frequently Asked Questions (FAQ)

Q1: What is Set Down at the Breaker Point?
A: Set Down at the Breaker Point is a wave-induced decrease of the mean water level before the waves break.

Q2: What is Coastal Breaker Depth Index?
A: Coastal Breaker Depth Index is the ratio of the wave height at breaking to the water depth at the breakpoint.

Q3: Why is setup important in coastal engineering?
A: Setup affects coastal flooding, sediment transport, and the design of coastal structures.

Q4: Are there limitations to this formula?
A: This formula provides an estimation and may need adjustment for specific coastal conditions and wave climates.

Q5: What units should be used for input values?
A: All length measurements should be in meters, and the Breaker Depth Index is dimensionless.