hydrophysicsФундаментальная и прикладная гидрофизикаFundamental and Applied Hydrophysics2073-66732782-5221St. Petersburg Research Center of the Russian Academy of Sciences10.59887/fpg/u1df-m1x7-1bxghydrophysics-673Research ArticleФУНДАМЕНТАЛЬНЫЕ ВОПРОСЫ ГИДРОФИЗИКИFUNDAMENTAL ISSUES OF HYDROPHYSICSРазличные подходы к моделированию морских волнDifferent approaches to numerical modeling of sea wavesЧаликовД. В.ChalikovD. V.

117997, Нахимовский пр., д. 36, Москва; Виктория, 310

117997, Nahimovskiy prospekt, 36, Moscow; Victoria 3010

dmitry-chalikov@yandex.ruИнститут океанологии им. П.П. Ширшова РАН; Университет МельбурнаАвстралияShirshov Institute of Oceanology, Russian Academy of Sciences; University of MelbourneAustralia2022010420221511932Copyright © Чаликов Д.В., 20222022Чаликов Д.В.Chalikov D.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/673

Кратко рассмотрены главные подходы в прямом моделировании поверхностных волн, основанные на полных уравнениях динамики невязкой жидкости со свободной поверхностью. Большая часть моделей предназначена для исследования прикладных и инженерных проблем. Предполагается, что основной является модель, записанная в криволинейной системе координат, в которой высота отсчитывается от волновой поверхности. В двумерной периодической формулировке при использовании конформной системы задача сводится к системе одномерных уравнений, легко решаемых с использованием Фурье метода. Для трёхмерных волн такие упрощения не существуют, и вертикальная скорость на поверхности рассчитывается путём решения трёхмерного уравнения Пуассона или методом поверхностного интеграла. Рассматривается приближённая схема, основанная на двухмерных уравнениях. Схема позволяет воспроизводить статистический режим волн с высокой точностью согласующийся с аналогичными результатами, полученными по точной трёхмерной модели.

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