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

Результат исследования: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциинаучнаярецензирование

Аннотация

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.

Язык оригиналаанглийский
Название основной публикацииInternational Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018
РедакторыT.E. Simos, Ch. Tsitouras
ИздательAmerican Institute of Physics Inc.
Число страниц4
ISBN (электронное издание)9780735418547
DOI
СостояниеОпубликовано - 24 июл 2019
СобытиеInternational Conference on Numerical Analysis and Applied Mathematics 2018, ICNAAM 2018 - Rhodes, Греция
Продолжительность: 13 сен 201818 сен 2018

Серия публикаций

НазваниеAIP Conference Proceedings
Том2116
ISSN (печатное издание)0094-243X
ISSN (электронное издание)1551-7616

Конференция

КонференцияInternational Conference on Numerical Analysis and Applied Mathematics 2018, ICNAAM 2018
СтранаГреция
ГородRhodes
Период13.09.201818.09.2018

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    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