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—The numerical simulation is based on the authors＇high-order models with a dissipative termfor nonlinear and dispersive wave in water of varying depth.Corresponding finite-difference equations andgeneral conditions for open and fixed natural boundaries with an arbitrary reflection coefficient and phaseshift are also given in this paper.The systematical tests of numerical simulation show that the theoreticalmodels,the finite-difference algorithms and the boundary conditions can give good calculation results forthe wave propagating in shallow and deep water with an arbitrary slope varying from gentle to steep.
-The numerical simulation is based on the authors’high-order models with a dissipative termfor nonlinear and dispersive waves in water of varying depth. Coresponding finite-difference equations and general conditions for open and fixed natural boundaries with an arbitrary reflection coefficient and phaseshift are also given in this paper. syste systeical tests of numerical simulation that that the theoretical models, the finite-difference algorithms and the boundary conditions can give good calculation results forthe wave propagating in shallow and deep water with an arbitrary slope varying from gentle to steep.