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Forced internal wave attractors: Linear inviscid theory Full article

Journal Physical Review Fluids
ISSN: 2469-990X
Output data Year: 2023, Volume: 8, Number: 8, Article number : 084801, Pages count : 28 DOI: 10.1103/physrevfluids.8.084801
Authors Makridin Zakhar V. 1 , Khe Alexander K. 1 , Sibgatullin Ilias N. 2,3 , Ermanyuk Evgeny V. 1
Affiliations
1 Lavrentyev Institute of Hydrodynamics, 630090 Novosibirsk, Russia
2 School of Computer Science and Mathematics, Keele University, Staffordshire, ST5 5AA, United Kingdom
3 Univ Lyon, ENS de Lyon, CNRS, Laboratoire de Physique, F-69342 Lyon, France

Funding (2)

1 Российский научный фонд 20-11-20189
2 Министерство науки и высшего образования Российской Федерации FWGG-2021-0011

Abstract: In this paper, we study internal wave focusing in a trapezoidal domain with one moving boundary. Using linear theory, we construct an exact analytic solution for the case of ideal uniformly stratified Boussinesq fluid, which is appropriate for developing weakly nonlinear theory. This analytical solution is compared against the results of direct numerical simulations performed with the help of the spectral element method. It is shown that the nested structure of wave beams in the ideal-fluid solution is consistent with the peculiarities of the wave-beam profiles obtained in weakly viscous numerical simulations performed in a range of Stokes numbers covering three orders of magnitude beyond the typical experimental values. Finally, we explore the role of the shape of the wave generator on the instantaneous profiles and envelopes of the wave beams.
Cite: Makridin Z.V. , Khe A.K. , Sibgatullin I.N. , Ermanyuk E.V.
Forced internal wave attractors: Linear inviscid theory
Physical Review Fluids. 2023. V.8. N8. 084801 :1-28. DOI: 10.1103/physrevfluids.8.084801 WOS Scopus РИНЦ OpenAlex
Dates:
Submitted: Nov 21, 2022
Accepted: Jun 28, 2023
Published print: Aug 4, 2023
Identifiers:
Web of science: WOS:001052928900001
Scopus: 2-s2.0-85168802216
Elibrary: 61046778
OpenAlex: W4385577541
Citing:
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OpenAlex 4
Elibrary 3
Scopus 4
Web of science 3
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