辐射应力的一个非线性公式及其在椭圆余弦变浅中的应用
A Nonlinear Formulation of Radiation Stress and Applications to Cnoidal Shoaling
摘要：
在这篇文章中，我们提供的能流和辐射应力符合Korteweg-de Vries（KdV）方程的标度制度的配方。这些量可以用来描述接近缓坡海滩的椭圆余弦波的变浅。这些波浪沿斜坡的变换可以用浅水方程来描述，浅水方程是一组三个未知数的三个非线性方程：波高H、下沉和椭圆参数m。我们定义了一个数值算法的浅水方程的有效解决方案，我们验证我们的浅水配方通过比较实验数据从两组实验以及浅水曲线在以前的作品。
英文摘要：
In this article we provide formulations of energy flux and radiation stress consistent with the scaling regime of the Korteweg-de Vries (KdV) equation. These quantities can be used to describe the shoaling of cnoidal waves approaching a gently sloping beach. The transformation of these waves along the slope can be described using the shoaling equations, a set of three nonlinear equations in three unknowns: the wave height H, the set-down and the elliptic parameter m. We define a numerical algorithm for the efficient solution of the shoaling equations, and we verify our shoaling formulation by comparing with experimental data from two sets of experiments as well as shoaling curves obtained in previous works.
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