Long Wave Analysis using Velocity Potential Equation

This research defines long wave as a wave with a large wave period. The analysis is divided into two main components: deep-water analysis and shallow-water analysis. Deep water refers to the initial depth at which wave generation and calculations begin. In the deep-water domain, a formulation for determining wavelength and wave period is developed. In the shallow-water domain, further analyses are conducted to evaluate wave shoaling, breaking, run-up, and flow depth or inundation at the terminal point of the run-up process. The various analytical methods presented in this study are formulated based on the velocity potential approach derived from the solution of the Laplace equation.