研究亮点：
(1)寻找到一个变量变换，使得泥沙扩散系数为线性函数的悬沙方程可以解析求解。
(2)获得了底部泥沙浓度边界条件为Dirichlet和Neumann条件时泥沙浓度时空变化的解析解，得到实验数据的良好验证。
图1 振荡流情形理论解与实验数据的比较
图2 振荡流情形泥沙浓度的周期变化过程理论解与实验数据的比较
寻找到一个变量变换，使得泥沙扩散系数为线性函数的悬沙方程可以解析求解，从而获得了底部泥沙浓度边界条件为Dirichlet和Neumann条件时泥沙浓度时空变化的解析解。通过与不同实验数据比较，讨论了两种理论解对悬沙浓度分布的预测能力。结果表明，两种理论解均能较好地描述波浪作用下悬沙浓度的变化过程，包括悬沙浓度的振幅、相位和垂向分布。此外，相比采用Dirichlet边界条件，采用Neumann边界条件得到的理论解在悬沙浓度的相位变化上与实验数据符合更好。
Two kinds of analytical solutions are derived through Laplace transform for the equation that governs wave-induced suspended sediment concentration with linear sediment diffusivity under two kinds of bottom boundary conditions, namely the reference concentration (Dirichlet) and pickup function (Numann), based on a variable transformation that is worked out to transform the governing equation into a modified Bessel equation. The ability of the two analytical solutions to describe the profiles of suspended sediment concentration is discussed by comparing with different experimental data. And it is demonstrated that the two analytical solutions can well describe the process of wave-induced suspended sediment concentration, including the amplitude and phase and vertical profile of sediment concentration. Furthermore, the solution with boundary condition of pickup function provides better results than that of reference concentration in terms of the phase-dependent variation of concentration.
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