A Hyperbolic Model of Strongly Nonlinear Waves in Two-Layer Flows of an Inhomogeneous Fluid

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A Hyperbolic Model of Strongly Nonlinear Waves in Two-Layer Flows of an Inhomogeneous Fluid. / Ermishina, V. E.

в: Journal of Applied and Industrial Mathematics, Том 16, № 4, 2022, стр. 659-671.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{91477ef7c59346ae844c65eb67c1656d,

title = "A Hyperbolic Model of Strongly Nonlinear Waves in Two-Layer Flows of an Inhomogeneous Fluid",

abstract = "We propose a mathematical model for the propagation of nonlinear long waves in atwo-layer shear flow of an inhomogeneous fluid with free boundary taking into account thedispersion and mixing effects. The equations of fluid motion are presented in the form ofa hyperbolic system of first-order quasilinear equations. Solutions are constructed in the class oftraveling waves that describe damped oscillations of the internal interface. The two-layer flowparameters for which large-amplitude waves can form are found. Unsteady flows that arise whenflowing around a local obstacle are numerically modelled. It is shown that, depending on theoncoming flow velocity and the obstacle shape, disturbances propagate upstream in the form of amonotonous or undular bore.",

keywords = "dispersion, hyperbolicity, inhomogeneous fluid, long wave equation, mixing",

author = "Ermishina, {V. E.}",

note = "Публикация для корректировки.",

year = "2022",

doi = "10.1134/S199047892204007X",

language = "English",

volume = "16",

pages = "659--671",

journal = "Journal of Applied and Industrial Mathematics",

issn = "1990-4789",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "4",

}

RIS

TY - JOUR

T1 - A Hyperbolic Model of Strongly Nonlinear Waves in Two-Layer Flows of an Inhomogeneous Fluid

AU - Ermishina, V. E.

N1 - Публикация для корректировки.

PY - 2022

Y1 - 2022

N2 - We propose a mathematical model for the propagation of nonlinear long waves in atwo-layer shear flow of an inhomogeneous fluid with free boundary taking into account thedispersion and mixing effects. The equations of fluid motion are presented in the form ofa hyperbolic system of first-order quasilinear equations. Solutions are constructed in the class oftraveling waves that describe damped oscillations of the internal interface. The two-layer flowparameters for which large-amplitude waves can form are found. Unsteady flows that arise whenflowing around a local obstacle are numerically modelled. It is shown that, depending on theoncoming flow velocity and the obstacle shape, disturbances propagate upstream in the form of amonotonous or undular bore.

AB - We propose a mathematical model for the propagation of nonlinear long waves in atwo-layer shear flow of an inhomogeneous fluid with free boundary taking into account thedispersion and mixing effects. The equations of fluid motion are presented in the form ofa hyperbolic system of first-order quasilinear equations. Solutions are constructed in the class oftraveling waves that describe damped oscillations of the internal interface. The two-layer flowparameters for which large-amplitude waves can form are found. Unsteady flows that arise whenflowing around a local obstacle are numerically modelled. It is shown that, depending on theoncoming flow velocity and the obstacle shape, disturbances propagate upstream in the form of amonotonous or undular bore.

KW - dispersion

KW - hyperbolicity

KW - inhomogeneous fluid

KW - long wave equation

KW - mixing

UR - https://www.mendeley.com/catalogue/7595dd42-44b8-3f2f-a31a-2dafa908def6/

U2 - 10.1134/S199047892204007X

DO - 10.1134/S199047892204007X

M3 - Article

VL - 16

SP - 659

EP - 671

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 4

ER -

ID: 55697655