【摘要】 该文通过引入有效波面函数,把考虑海底摩擦、波浪破碎、陡变和快变地形等因素影响的扩展型缓坡方程,化为最简形式的时间双曲型缓坡方程。基于此方程和非线性振幅频散关系,建立了波浪传播的数值模拟模型,并对数值格式进行了误差分析,结果表明由于耗散项的引入,数值格式的稳定性较文献[1]得到了提高。数值解与物理模型实验值和解析解吻合良好,表明模型可以对近岸波浪传播过程中折射、绕射、反射、浅水变形、海底摩擦、波浪破碎和弱非线性等因素的影响进行较好地预测。更多还原

【Abstract】 By introducing the effective wave elevation, the extended mild-slope equation with bottom friction, wave breaking and rapidly varying bottom topography is transformed into the simplest time-dependent hyperbolic equation. Based on this equation and the empirical nonlinear amplitude dispersion relation, the numerical simulation scheme is established andThe computation stability is analyzed analysis It shows that the numerical stability is enhanced because of the introduced dissipation term. The calculated results are in agreement with the theoretical or experimental ones, which indicate that the present extended model is capable of giving good predictions of wave refraction, diffraction, reflection, shoaling, bottom friction, breaking energy dissipation and weakly nonlinearity in the near shore zone.更多还原