Boundary Value Problem of Calculating Ray Characteristics of Ocean Waves Reflected from Coastline

Pub Date : 2024-04-22 DOI:10.1134/s0965542524030126
I. A. Nosikov, A. A. Tolchennikov, M. V. Klimenko
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Abstract

A direct variational method for solving the problem of finding ocean wave rays reflected from the coastline with given positions of the source and the point of observation is considered. It is shown that the original boundary value problem can be reduced to the direct search of stationary points of the functional equal to the time of wave propagation along the ray. Information about the objective function in the area of solutions to the ray tracing problem allows us to construct a systematic procedure for finding minima, saddle points, and maxima. A feature of the proposed approach is the optimization of the ray reflection point along a given coastline.

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计算海岸线反射的海浪射线特性的边界值问题
摘要 研究了一种直接变分法,用于求解给定波源和观测点位置的海岸线反射海浪射线问题。研究表明,原边界值问题可以简化为直接搜索等于波沿线传播时间的函数的静止点。通过射线追踪问题求解区域中的目标函数信息,我们可以构建一个系统程序,用于寻找最小值、鞍点和最大值。建议方法的一个特点是优化给定海岸线上的射线反射点。
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