Strongly non-linear Boussinesq-type model of the dynamics of internal solitary waves propagating in a multilayer stratified fluid Научная публикация
| Журнал |
Physics of Fluids
ISSN: 1070-6631 |
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| Вых. Данные | Год: 2023, Том: 35, Номер: 7, Номер статьи : 076605, Страниц : 13 DOI: 10.1063/5.0151928 | ||
| Ключевые слова | MULTILAYERS, COMPUTER SIMULATION, MATHEMATICAL MODELING, HYDROSTATICS, INTERNAL WAVES, BOUSSINESQ APPROXIMATION, GRAVITY WAVE | ||
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Информация о финансировании (1)
| 1 | Российский научный фонд | 23-41-00090 |
Реферат:
We propose a system of first-order balance laws that describe the propagation of internal solitary waves in a multilayer stratified shallow water with non-hydrostatic pressure in the upper and lower layers. The construction of this model is based on the use of additional variables, which make it possible to approximate the Green–Naghdi-type dispersive equations by a first-order system. In the Boussinesq approximation, the governing equations allow one to simulate the propagation of non-linear internal waves, taking into account fine density stratification, a weak velocity shear in the layers, and uneven topography. We obtain smooth steady-state soliton-like solutions of the proposed model in the form of symmetric and non-symmetric waves of mode-2 adjoining to a given multilayer constant flow. Numerical calculations of the generation and propagation of large-amplitude internal waves are carried out using both the proposed first-order system and Green–Naghditype equations. It is established that the solutions of these models practically coincide. The advantage of the first-order equations is the simplicity of numerical implementation and a significant reduction in the calculation time. We show that the results of numerical simulation are in good agreement with the experimental data on the evolution of mode-2 solitary waves in tanks of constant and variable height 01 December 2023 05:32:
Библиографическая ссылка:
А. А. Чесноков
, V. E. Ermishina
, V. Yu. Liapidevskii
Strongly non-linear Boussinesq-type model of the dynamics of internal solitary waves propagating in a multilayer stratified fluid
Physics of Fluids. 2023. V.35. N7. 076605 :1-13. DOI: 10.1063/5.0151928 WOS Scopus РИНЦ OpenAlex
Strongly non-linear Boussinesq-type model of the dynamics of internal solitary waves propagating in a multilayer stratified fluid
Physics of Fluids. 2023. V.35. N7. 076605 :1-13. DOI: 10.1063/5.0151928 WOS Scopus РИНЦ OpenAlex
Даты:
| Поступила в редакцию: | 26 мар. 2023 г. |
| Принята к публикации: | 23 июн. 2023 г. |
| Опубликована в печати: | 10 июл. 2023 г. |
Идентификаторы БД:
| Web of science: | WOS:001026250700003 |
| Scopus: | 2-s2.0-85164953865 |
| РИНЦ: | 61785763 |
| OpenAlex: | W4383816988 |