Standard

Simulating interaction of nonlinear spatial waves on a free surface of the shallow viscous liquid layer. / Arkhipov, D. G.; Khabakhpashev, G. A.; Safarova, N. S.

In: Journal of Physics: Conference Series, Vol. 899, No. 3, 032005, 27.09.2017.

Research output: Contribution to journal › Article › peer-review

Harvard

Arkhipov, DG, Khabakhpashev, GA & Safarova, NS 2017, 'Simulating interaction of nonlinear spatial waves on a free surface of the shallow viscous liquid layer', Journal of Physics: Conference Series, vol. 899, no. 3, 032005. https://doi.org/10.1088/1742-6596/899/3/032005

APA

Arkhipov, D. G., Khabakhpashev, G. A., & Safarova, N. S. (2017). Simulating interaction of nonlinear spatial waves on a free surface of the shallow viscous liquid layer. Journal of Physics: Conference Series, 899(3), [032005]. https://doi.org/10.1088/1742-6596/899/3/032005

Vancouver

Arkhipov DG, Khabakhpashev GA, Safarova NS. Simulating interaction of nonlinear spatial waves on a free surface of the shallow viscous liquid layer. Journal of Physics: Conference Series. 2017 Sept 27;899(3):032005. doi: 10.1088/1742-6596/899/3/032005

Author

Arkhipov, D. G. ; Khabakhpashev, G. A. ; Safarova, N. S. / Simulating interaction of nonlinear spatial waves on a free surface of the shallow viscous liquid layer. In: Journal of Physics: Conference Series. 2017 ; Vol. 899, No. 3.

BibTeX

@article{f7728ddb98cd480c85de551c50a1a29a,
title = "Simulating interaction of nonlinear spatial waves on a free surface of the shallow viscous liquid layer",
abstract = "This paper deals with the combined approach to describing the evolution of weakly nonlinear three-dimensional moderately long perturbations of free surface of viscous liquid. The initial system of hydrodynamic equations is reduced to the novel model system of equations. The first of them is integro-differential equation for nonlinear perturbation of the free surface, 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 finite-amplitude waves, traveling in different directions in the horizontal plane. Some problems of interactions and collisions of such perturbations over the horizontal and weakly sloping bottom are solved numerically.",
author = "Arkhipov, {D. G.} and Khabakhpashev, {G. A.} and Safarova, {N. S.}",
note = "Publisher Copyright: {\textcopyright} Published under licence by IOP Publishing Ltd.",
year = "2017",
month = sep,
day = "27",
doi = "10.1088/1742-6596/899/3/032005",
language = "English",
volume = "899",
journal = "Journal of Physics: Conference Series",
issn = "1742-6588",
publisher = "IOP Publishing Ltd.",
number = "3",

}

RIS

TY - JOUR

T1 - Simulating interaction of nonlinear spatial waves on a free surface of the shallow viscous liquid layer

AU - Arkhipov, D. G.

AU - Khabakhpashev, G. A.

AU - Safarova, N. S.

N1 - Publisher Copyright: © Published under licence by IOP Publishing Ltd.

PY - 2017/9/27

Y1 - 2017/9/27

N2 - This paper deals with the combined approach to describing the evolution of weakly nonlinear three-dimensional moderately long perturbations of free surface of viscous liquid. The initial system of hydrodynamic equations is reduced to the novel model system of equations. The first of them is integro-differential equation for nonlinear perturbation of the free surface, 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 finite-amplitude waves, traveling in different directions in the horizontal plane. Some problems of interactions and collisions of such perturbations over the horizontal and weakly sloping bottom are solved numerically.

AB - This paper deals with the combined approach to describing the evolution of weakly nonlinear three-dimensional moderately long perturbations of free surface of viscous liquid. The initial system of hydrodynamic equations is reduced to the novel model system of equations. The first of them is integro-differential equation for nonlinear perturbation of the free surface, 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 finite-amplitude waves, traveling in different directions in the horizontal plane. Some problems of interactions and collisions of such perturbations over the horizontal and weakly sloping bottom are solved numerically.

UR - http://www.scopus.com/inward/record.url?scp=85033784164&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/899/3/032005

DO - 10.1088/1742-6596/899/3/032005

M3 - Article

AN - SCOPUS:85033784164

VL - 899

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 3

M1 - 032005

ER -

ID: 9069731