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Modeling collision of 3D moderately long disturbances of small but finite amplitude in viscous fluid layer. / Khabakhpashev, Georgy A.; Arkhipov, Dmitry G.

International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018. ред. / T.E. Simos; Ch. Tsitouras. American Institute of Physics Inc., 2019. 030006 (AIP Conference Proceedings; Том 2116).

Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциинаучнаяРецензирование

Harvard

Khabakhpashev, GA & Arkhipov, DG 2019, Modeling collision of 3D moderately long disturbances of small but finite amplitude in viscous fluid layer. в TE Simos & C Tsitouras (ред.), International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018., 030006, AIP Conference Proceedings, Том. 2116, American Institute of Physics Inc., International Conference on Numerical Analysis and Applied Mathematics 2018, ICNAAM 2018, Rhodes, Греция, 13.09.2018. https://doi.org/10.1063/1.5113990

APA

Khabakhpashev, G. A., & Arkhipov, D. G. (2019). Modeling collision of 3D moderately long disturbances of small but finite amplitude in viscous fluid layer. в T. E. Simos, & C. Tsitouras (Ред.), International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018 [030006] (AIP Conference Proceedings; Том 2116). American Institute of Physics Inc.. https://doi.org/10.1063/1.5113990

Vancouver

Khabakhpashev GA, Arkhipov DG. Modeling collision of 3D moderately long disturbances of small but finite amplitude in viscous fluid layer. в Simos TE, Tsitouras C, Редакторы, International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018. American Institute of Physics Inc. 2019. 030006. (AIP Conference Proceedings). doi: 10.1063/1.5113990

Author

Khabakhpashev, Georgy A. ; Arkhipov, Dmitry G. / Modeling collision of 3D moderately long disturbances of small but finite amplitude in viscous fluid layer. International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018. Редактор / T.E. Simos ; Ch. Tsitouras. American Institute of Physics Inc., 2019. (AIP Conference Proceedings).

BibTeX

@inproceedings{3d49bfcf01fd4022973cad0050abf9d4,
title = "Modeling collision of 3D moderately long disturbances of small but finite amplitude in viscous fluid layer",
abstract = "This paper deals with the combined approach to describing the interaction of weakly nonlinear three-dimensional disturbances of a free surface of the shallow viscous fluid layer. The initial system of hydrodynamic equations is reduced to the novel model system of equations. The first of them is integro-differential equation for disturbance of small but finite amplitude, taking into account non-stationary shear stress on a weakly sloping bottom. Another equation is an auxiliary linear equation for determining the liquid horizontal velocity vector, averaged over the layer depth. This vector is present in the main equation only in the term of the second order of smallness. The proposed model is suitable for nonlinear waves, traveling at any angles in the horizontal plane. Some problems of interactions and collisions of such disturbances over the horizontal and weakly sloping bottom are solved numerically.",
keywords = "WAVES, EQUATION, WATER",
author = "Khabakhpashev, {Georgy A.} and Arkhipov, {Dmitry G.}",
year = "2019",
month = jul,
day = "24",
doi = "10.1063/1.5113990",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "T.E. Simos and Ch. Tsitouras",
booktitle = "International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018",
note = "International Conference on Numerical Analysis and Applied Mathematics 2018, ICNAAM 2018 ; Conference date: 13-09-2018 Through 18-09-2018",

}

RIS

TY - GEN

T1 - Modeling collision of 3D moderately long disturbances of small but finite amplitude in viscous fluid layer

AU - Khabakhpashev, Georgy A.

AU - Arkhipov, Dmitry G.

PY - 2019/7/24

Y1 - 2019/7/24

N2 - This paper deals with the combined approach to describing the interaction of weakly nonlinear three-dimensional disturbances of a free surface of the shallow viscous fluid layer. The initial system of hydrodynamic equations is reduced to the novel model system of equations. The first of them is integro-differential equation for disturbance of small but finite amplitude, taking into account non-stationary shear stress on a weakly sloping bottom. Another equation is an auxiliary linear equation for determining the liquid horizontal velocity vector, averaged over the layer depth. This vector is present in the main equation only in the term of the second order of smallness. The proposed model is suitable for nonlinear waves, traveling at any angles in the horizontal plane. Some problems of interactions and collisions of such disturbances over the horizontal and weakly sloping bottom are solved numerically.

AB - This paper deals with the combined approach to describing the interaction of weakly nonlinear three-dimensional disturbances of a free surface of the shallow viscous fluid layer. The initial system of hydrodynamic equations is reduced to the novel model system of equations. The first of them is integro-differential equation for disturbance of small but finite amplitude, taking into account non-stationary shear stress on a weakly sloping bottom. Another equation is an auxiliary linear equation for determining the liquid horizontal velocity vector, averaged over the layer depth. This vector is present in the main equation only in the term of the second order of smallness. The proposed model is suitable for nonlinear waves, traveling at any angles in the horizontal plane. Some problems of interactions and collisions of such disturbances over the horizontal and weakly sloping bottom are solved numerically.

KW - WAVES

KW - EQUATION

KW - WATER

UR - http://www.scopus.com/inward/record.url?scp=85069950765&partnerID=8YFLogxK

U2 - 10.1063/1.5113990

DO - 10.1063/1.5113990

M3 - Conference contribution

AN - SCOPUS:85069950765

T3 - AIP Conference Proceedings

BT - International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018

A2 - Simos, T.E.

A2 - Tsitouras, Ch.

PB - American Institute of Physics Inc.

T2 - International Conference on Numerical Analysis and Applied Mathematics 2018, ICNAAM 2018

Y2 - 13 September 2018 through 18 September 2018

ER -

ID: 21138630