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On Lagrangian Description of Standing Surface Gravity Waves. In: Chaplina, T. (eds) Processes in GeoMedia—Volume IX. Springer Geology. Springer, Singapore. P. 155-166. https://doi.org/10.1007/978-981-96-9302-3_9статья
- Авторы: Kalinichenko V.A., Fomenko A.O.
- Сборник: Processes in GeoMedia—Volume IX
- Серия: Springer Geology
- Год издания: 2026
- Издательство: Springer Singapore
- Местоположение издательства: Singapore
- Первая страница: 155
- Последняя страница: 166
- DOI: 10.1007/978-981-96-9302-3_9
- Аннотация: The article presents the results of the analysis of finite-amplitude standing surface waves in Lagrangian variables using asymptotic methods that allow describing the wave profile in parametric form. The formulas for the transition from Lagrangian variables to Eulerian variables are given. The integral estimates of the accuracy of using Lagrangian and Eulerian variables are presented. Theoretical wave profiles are compared with experimental data on the excitation of Faraday waves on the surface of a liquid of different depths. The limits of applicability of the theoretical model for wave steepness and liquid depth are obtained. It is shown that Lagrangian approximation is more accurate than the Eulerian counterpart of the same order.
- Добавил в систему: Калиниченко Владимир Анатольевич