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

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

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.

Original languageEnglish
Title of host publicationInternational Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018
EditorsT.E. Simos, Ch. Tsitouras
PublisherAmerican Institute of Physics Inc.
Number of pages4
ISBN (Electronic)9780735418547
DOIs
Publication statusPublished - 24 Jul 2019
EventInternational Conference on Numerical Analysis and Applied Mathematics 2018, ICNAAM 2018 - Rhodes, Greece
Duration: 13 Sep 201818 Sep 2018

Publication series

NameAIP Conference Proceedings
Volume2116
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Numerical Analysis and Applied Mathematics 2018, ICNAAM 2018
CountryGreece
CityRhodes
Period13.09.201818.09.2018

Keywords

  • WAVES
  • EQUATION
  • WATER

Fingerprint Dive into the research topics of 'Modeling collision of 3D moderately long disturbances of small but finite amplitude in viscous fluid layer'. Together they form a unique fingerprint.

Cite this