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

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

Journal

Journal of Applied and Industrial Mathematics
ISSN: 1990-4789

Output data

Year: 2022, Volume: 16, Number: 4, Pages: 659-671 Pages count : 13 DOI: 10.1134/s199047892204007x

Tags

long wave equation, hyperbolicity, inhomogeneous fluid, mixing, dispersion

Authors

Ermishina V.E. ^1,2

Affiliations

1	Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences
2	Novosibirsk State University

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

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

Scopus:	2-s2.0-85149941560
Elibrary:	59098870
OpenAlex:	W4323344533

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