THEORETICAL MODELS OF APPROXIMATION OF WAVE CORRECTIONS IN UNDER KEEL CLEARANCE CALCULATIONS
https://doi.org/10.33815/2313-4763.2025.1.30.222-236
Abstract
Year after year, maritime transportation continues to grow, with an increasing count of ships and their displacement requiring enhanced navigational skills and precision. Weather factors such as wind and waves significantly influence a vessel's ability to maintain position and accurately determine safe depths, making them critical for safe navigation.
This article aims to derive analytical dependencies for the Swell parameter based on vessel length and wave height within the most common operational ranges for ships. It also provides tabulated Swell values and a software product designed for cadet training alongside the NaviSailor 4000 simulator. The article analyzed existing accounting methods for wave-induced increases in vessel clearance. It was found that no proposed method provides practical recommendations for calculating the Swell parameter for any ship length or wave height. Although tables containing the desired parameter exist, additional interpolation calculations are required to determine the Swell value. To address this, preliminary calculations were performed using interpolation of known values for this parameter. Then, ensuring maximum alignment with reference data, mathematical models were developed for each 10-meter increment in vessel length and each 0.5-meter increment in wave height. Through extrapolation, with constraints on wave amplitude values, specific Swell parameter values were determined by tabulating functions. The resulting table of Swell values allows for direct application without the need for prior interpolation calculations. Based on these models, the WaveCheckRoute software was developed. This tool enables users to work with weather maps in .grib format for any forecast step, overlay routes in .rt3 format, select vessel schedules, and analyze dangerous wave heights along a route at estimated arrival times. The analysis is conducted based on weather forecast intervals and vessel speed, enhancing passage planning and safety in maritime navigation.
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