A Model for the Propagation of Nonlinear Surface Waves over Viscous Muds
TEXAS A AND M UNIV COLLEGE STATION DEPT OF CIVIL ENGINEERING
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The effect of a thin viscous fluid -mud layer on nearshore nonlinear wave -wave interactions is studied using a parabolic frequency-domain nonlinear wave model, modified to incorporate a bottom dissipation mechanism based on a viscous boundary layer approach. The boundary-layer formulation allows for explicit calculation of the mud-induced wave damping rate. The model performed well in tests based on laboratory data. Numerical tests show that damping of high frequency waves occurs, mediated by difference nonlinear interactions. Simulations of 2-dimensional wave propagation over a mud patch of finite extent show that the wave dissipation causes significant downwave diffraction effects.
- Physical and Dynamic Oceanography
- Fluid Mechanics