hydrophysicsФундаментальная и прикладная гидрофизикаFundamental and Applied Hydrophysics2073-66732782-5221St. Petersburg Research Center of the Russian Academy of Sciences10.59887/2073-6673.2025.18(1)-2hydrophysics-1413Research ArticleФУНДАМЕНТАЛЬНЫЕ ВОПРОСЫ ГИДРОФИЗИКИFUNDAMENTAL ISSUES OF HYDROPHYSICSТрёхмерная фазо-разрешающая модель поверхностных волн для конечной глубиныThree-dimensional phase-resolving surface wave model for finite depthhttps://orcid.org/0000-0003-1826-0452ФокинаК. В.FokinaK. V.

Фокина Карина Владимировна, младший научный сотрудник, кандидат физико-математических наук

Scopus AuthorID: 57225150215 

117997, Москва, Нахимовский проспект, д. 36 

36 Nakhimovsky Prosp., Moscow 117997 

Scopus AuthorID: 57225150215 

fokinakarina@yandex.ruИнститут океанологии им. П.П. Ширшова РАНРоссияShirshov Institute of Oceanology, Russian Academy of SciencesRussian Federation2025280420251811930Copyright © Фокина К.В., 20252025Фокина К.В.Fokina K.V.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://hydrophysics.spbrc.ru/jour/article/view/1413

Статья посвящена модификации трёхмерной фазо-разрешающей модели FWM (Full Wave Model) потенциальных волн (изначально сформулированной для моделирования волн в глубоководных условиях) для моделирования волн на конечной глубине, а также оценке области применимости предложенной модели. Проведены численные эксперименты для квазистационарного волнового режима по результатам которых рассчитывается дисперсионное соотношение для волн на конечной глубине, заданных в начальных условиях спектром JONSWAP. Расчёты проводились для двух вариантов разрешения: однонаправленные и разнонаправленные волны, а также для различных безразмерных значений глубины. На основе рассчитанных статистических характеристик показано совпадение теоретических и модельных расчётов дисперсионного соотношения с удовлетворительной точностью, что позволяет сделать вывод о корректности работы модели в условиях конечности глубины для рассматриваемого случая квазистационарного режима. Предложенная модификация модели применима для моделирования динамики многомодового волнового поля для глубины не меньше, чем 0,1 длины волны пика спектра, что значительно расширяет область применения модели FWM.

The paper presents modification of the three-dimensional phase-resolving FWM (Full Wave Model) model of potential waves to simulate the evolution of waves on finite depth water and to determine the range of applicability of the proposed model. Calculations have been carried out to illustrate the fulfillment of the dispersion relation for waves in finite depth, initially assigned by JONSWAP spectrum. The quasi-stationary regime is considered. Calculations were carried out for two resolution options (almost one-dimensional and multidirectional waves) and for various dimensionless depth values. The agreement between theoretical and model calculations of the dispersion relation is shown with a sufficient accuracy on the base of calculated statistic characteristics. The proposed modification of the model is applicable for simulating the multimode wave field for a depth of no less than 0.1 of the maximum wavelength, which significantly expands the field of its application.

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The authors declare that there are no conflicts of interest present.