On simulation of no-slip condition in the method of discrete vortices

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Abstract

When modeling flows of an incompressible fluid, it is convenient sometimes to use the method of discrete vortices (MDV), where the continuous vorticity field is approximated by a set of discrete vortex elements moving in the velocity field. The vortex elements have a clear physical interpretation, they do not require the construction of grids and are automatically adaptive, since they concentrate in the regions of greatest interest and successfully describe the flows of a non-viscous fluid. The possibility of using MDV in simulating flows of a viscous fluid was considered in the previous papers using the examples of flows past bodies with sharp edges with the no-penetration condition at solid boundaries. However, the appearance of vorticity on smooth boundaries requires the no-slip condition to be met when MDV is realized, which substantially complicates the initially simple method. In this connection, an approach is considered that allows solving the problem by simple means.

Original languageEnglish
Title of host publicationProceedings of the XXV Conference on High-Energy Processes in Condensed Matter, HEPCM 2017
Subtitle of host publicationDedicated to the 60th Anniversary of the Khristianovich Institute of Theoretical and Applied Mechanics SB RAS
Editors Fomin
PublisherAmerican Institute of Physics Inc.
Number of pages11
Volume1893
ISBN (Electronic)9780735415782
DOIs
Publication statusPublished - 26 Oct 2017
Event25th Conference on High-Energy Processes in Condensed Matter, HEPCM 2017 - Novosibirsk, Russian Federation
Duration: 5 Jun 20179 Jun 2017

Publication series

NameAIP Conference Proceedings
PublisherAMER INST PHYSICS
Volume1893
ISSN (Print)0094-243X

Conference

Conference25th Conference on High-Energy Processes in Condensed Matter, HEPCM 2017
CountryRussian Federation
CityNovosibirsk
Period05.06.201709.06.2017

Keywords

  • JET

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