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论文类型： 期刊论文

发表时间： 2001-01-01

发表刊物： CHINA OCEAN ENGINEERING

收录刊物： Scopus、SCIE

卷号： 15

期号： 2

页面范围： 185-194

ISSN号： 0890-5487

关键字： nonlinear dispersion relation; hyperbolic mild-slope equation; numerical simulation; water waves

摘要： The original hyperbolic mild-slope equation can effectively take into account the combined effects of wave shoaling, refraction, diffraction and reflection, but does not consider the nonlinear effect of waves, and the existing numerical schemes for it show some deficiencies. Based on the original hyperbolic mild-slope equation, a nonlinear dispersion relation is introduced in present paper to effectively take the nonlinear effect of waves into account and a new numerical scheme is proposed. The weakly nonlinear dispersion relation and the improved numerical scheme are applied to the simulation of wave transformation over an elliptic shoal. Numerical tests show that the improvement of the numerical scheme makes efficient the solution to the hyperbolic mild-slope equation, A comparison of numerical results with experimental data indicates that the results obtained by use of the new scheme are satisfactory.