1. What is the Incident Wave Height Formula?

The Incident Wave Height formula calculates the height of an incident wave based on water surface amplitude, horizontal ordinate, incident wave length in deepwater, time elapsed, and reflected wave period. It's essential in coastal engineering and wave analysis.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( Hi \) — Incident Wave Height (m)
• \( N \) — Water Surface Amplitude (m)
• \( x \) — Horizontal Ordinate (m)
• \( Lo \) — Incident Wave Length in Deepwater (m)
• \( t \) — Time Elapsed (s)
• \( T \) — Reflected Wave Period (s)
• \( \pi \) — Archimedes' constant (approximately 3.14159)

Explanation: The formula accounts for the cosine modulation of the wave based on spatial and temporal parameters.

3. Importance of Incident Wave Height Calculation

Details: Accurate incident wave height estimation is crucial for designing coastal structures, predicting wave behavior, and assessing wave energy potential.

4. Using the Calculator

Tips: Enter all values in appropriate units. Ensure all inputs are positive and non-zero where applicable. The calculator will handle the trigonometric computations.

5. Frequently Asked Questions (FAQ)

Q1: What is water surface amplitude?
A: Water Surface Amplitude is the maximum vertical distance between the highest and lowest points of a water surface wave.

Q2: How is horizontal ordinate defined?
A: Horizontal Ordinate refers to the distance measured horizontally from a reference point or axis.

Q3: What is incident wave length in deepwater?
A: Incident Wave Length in Deepwater is the wave length of the wave that travels from the generating source towards the load.

Q4: Why is time elapsed important?
A: Time Elapsed is the total duration that has passed from the start of an event to a specific point in time, affecting wave phase.

Q5: What is reflected wave period?
A: Reflected Wave Period is the time interval between successive crests or troughs of a wave after it reflects off a surface.