Parabolic Wave Equation for Surface Water Waves.
COASTAL ENGINEERING RESEARCH CENTER VICKSBURG MS
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In this report, the mild-slope equation describing the combined refraction and diffraction of small amplitude water waves is re-derived and reviewed. The relationship between the mild-slope equation and the ray theory is presented. The physical justifications for the parabolic approximation are then discussed. Parabolic wave equations in various forms are derived to investigate the effects of energy dissipation, reflection, and nonlinearity. Keywords Mathematical models Hydrodynamics Water wave propagation Water wave diffraction Water wave refraction.
- Numerical Mathematics
- Fluid Mechanics