Abstract Analytical and computational techniques for finding solutions to the equations describing shoreline evolution are widely known and the advantages and disadvantages of both are well documented. Initial analytical solutions to the 1-line models were restricted to constant wave conditions and simple beach/structure configurations. Recent developments in analytical treatments have allowed solutions to be found for an arbitrary sequence of wave conditions, but again for simple configurations. Here, we propose a method of linking several analytical solutions together in order to describe the unsteady evolution of a beach within a groyne field, allowing for both permability of the groynes and by-passing. The method relies on specifying boundary conditions in each groyne cell that mimic the transmission and by-passing of sediment. The conditions are generalisations of boundary conditions that are well-known. Solutions for groyne fields on straight and convex shorelines are presented to illustrate the method for constant and time varying wave conditions.

中文翻译：

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一种新的groyne场分析建模方法

摘要 用于寻找描述海岸线演化的方程的解的分析和计算技术是众所周知的，并且两者的优点和缺点都有详细记载。1-line 模型的初始解析解仅限于恒定波浪条件和简单的海滩/结构配置。分析处理的最新发展已经允许为任意序列的波浪条件找到解决方案，但同样适用于简单的配置。在这里，我们提出了一种将多个解析解连接在一起的方法，以描述 groyne 区域内海滩的不稳定演变，同时考虑到 groynes 的渗透性和旁路。该方法依赖于在模拟沉积物传输和旁路的每个 groyne 单元中指定边界条件。这些条件是众所周知的边界条件的概括。提出了直线和凸形海岸线上的 groyne 场的解决方案，以说明恒定和时变波浪条件的方法。