A Hyperbolic Model of Strongly Nonlinear Waves in Two-Layer Flows of an Inhomogeneous Fluid Научная публикация
| Журнал |
Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 |
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| Вых. Данные | Год: 2022, Том: 16, Номер: 4, Страницы: 659-671 Страниц : 13 DOI: 10.1134/s199047892204007x | ||||
| Ключевые слова | long wave equation, hyperbolicity, inhomogeneous fluid, mixing, dispersion | ||||
| Авторы |
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Реферат:
We propose a mathematical model for the propagation of nonlinear long waves in a two-layer shear flow of an inhomogeneous fluid with free boundary taking into account the dispersion and mixing effects. The equations of fluid motion are presented in the form of a hyperbolic system of first-order quasilinear equations. Solutions are constructed in the class of traveling waves that describe damped oscillations of the internal interface. The two-layer flow parameters for which large-amplitude waves can form are found. Unsteady flows that arise when flowing around a local obstacle are numerically modelled. It is shown that, depending on the oncoming flow velocity and the obstacle shape, disturbances propagate upstream in the form of a monotonous or undular bore
Библиографическая ссылка:
Ermishina V.E.
A Hyperbolic Model of Strongly Nonlinear Waves in Two-Layer Flows of an Inhomogeneous Fluid
Journal of Applied and Industrial Mathematics. 2022. V.16. N4. P.659-671. DOI: 10.1134/s199047892204007x Scopus РИНЦ OpenAlex
A Hyperbolic Model of Strongly Nonlinear Waves in Two-Layer Flows of an Inhomogeneous Fluid
Journal of Applied and Industrial Mathematics. 2022. V.16. N4. P.659-671. DOI: 10.1134/s199047892204007x Scopus РИНЦ OpenAlex
Идентификаторы БД:
| Scopus: | 2-s2.0-85149941560 |
| РИНЦ: | 59098870 |
| OpenAlex: | W4323344533 |
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