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Long wave motion is often used in hydraulics where the pressure is hydrostatic and waves are small because this linearises the SWE to form a sine Wave solution. For this to occur:
A single wave is defined as a depth change that is fairly abruptly from one value to another in a transient.
Wave velocity is known as celerity
The total power of a wide wave may be defined as:
The One-Dimensional Shallow Water Equations are based on which two equations:
Wave amplitude is at a maximum at a node
Tsunami waves are tidal waves.
When two equal waves approach each other, one incident and the other reflected, the amplitudes are cancelled out at all points.
The total energy of a wave is: