A new set of time-dependent Boussinesq equations is derived to simulate nonlinear long wave propagation in coastal regions. Following the approaches by Nwogu and later by Chen and Liu, the velocity (or velocity potential) at a certain water depth corresponding to the optimum linear dispersion property is used as a dependent variable. Therefore, the resulting equations are valid in intermediate water depth as well as for highly nonlinear waves. Coefficients ...
Based on time domain Boussinesq equations, a comprehensive model is constructed to simulate wave shoaling, wave breaking and wave runup in coastal regions. To illustrate the accuracy of various forms of Boussinesq models for large effect of nonlinearity, solitary wave solutions corresponding to several height to depth ratios are obtained numerically. Comparisons of permanent solutions are made between Boussinesq models and other existing closed form expressions. Additional energy dissipation terms ...
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