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2005年03月04日

【期刊论文】A Modified Form of Mild-Slope Equation with Weakly Nonlinear Effect

李瑞杰, Ruijie Li, Houjie Wang

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-1年11月30日

摘要

Nonlinear effect is of importance to waves propagating from deep water to shallow water.The non-linearity of waves is widely discussed due to its high precision in application.But there are still some problems in dealing with the nonlinear waves in pratice.In this paper,a modified form of mild-slope equation with weakly nonlinear effect is derived by use of the nonlinear dispersion relation and the steady mild-slope equation containing energy dissipation.The modified form of mild-slope equation is convenient to solve nonlinear effect of waves.The model is tested against the laboratory measurement for the case of a submerged elliptical shoal on a slope beach given by Berkhoff et al.The present numerical results are also compared with those obtained through linear wave theory.Better agreement is obtained as the modified mild-slope equation is employed.And the modified mild-slope equation can reasonably simulate the weakly nonlinear effect of wave propagation from deep water to coast.

wave propagation, explicit expression of nonlinear dispersion relation, weakly nonlinear effect, modified mild-slope equation

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  • 李瑞杰 邀请

    河海大学,江苏

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