Abstract

A new set of Boussinesq-type model equations based on the perturbation method similar to Hsiao et al. (2002) is derived for describing water waves propagating in porous media. The resistance forces including the linear/nonlinear drag force and the turbulence effect suggested by Sollitt and Cross (1972) are incorporated. The approach by Chen (2006) to eliminate the depth-dependent terms in momentum equation is adopted. The applicable range of water depths of new model equations is examined by comparing with the linear wave theory. Furthermore, the nonlinear properties of model equations are also numerically validated against the weakly nonlinear theory of Liu and Wen (1997). Fairly good agreements are achieved, suggesting that the present model equations can be applied to the simulation of nonlinear wave propagation in a porous structure.

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