1. What Is The Elevation Of Water Surface Relative To SWL?

The Elevation of Water Surface relative to the SWL (Standing Water Level) is a measurement that indicates the vertical displacement of the water surface from its average level, typically used in wave and tidal studies.

2. How Does The Calculator Work?

The calculator uses the formula:

Where:

• \( \eta \) — Elevation of Water Surface (m)
• \( a \) — Wave Amplitude (m)
• \( \theta \) — Theta angle (radians)

Explanation: This formula calculates the instantaneous elevation of the water surface based on wave amplitude and the phase angle theta, using the cosine function to determine the vertical displacement.

3. Importance Of Elevation Calculation

Details: Accurate calculation of water surface elevation is crucial for coastal engineering, flood prediction, wave energy studies, and understanding tidal patterns in marine environments.

4. Using The Calculator

Tips: Enter wave amplitude in meters and theta angle in radians. Both values must be positive numbers for valid calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is SWL in this context?
A: SWL stands for Standing Water Level, which represents the average or mean water level from which elevations are measured.

Q2: Why use cosine function in this formula?
A: The cosine function models the periodic nature of wave motion, where the elevation varies sinusoidally with the phase angle.

Q3: What are typical values for wave amplitude?
A: Wave amplitude can range from a few centimeters for small ripples to several meters for large ocean waves, depending on the water body and weather conditions.

Q4: How is theta angle measured?
A: Theta is typically measured in radians and represents the phase angle of the wave at a specific point in time or location.

Q5: Can this formula be used for all types of waves?
A: This formula is most appropriate for simple harmonic waves and may need modifications for more complex wave patterns or nonlinear wave theories.