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Numerical solution of two-dimensional (2D) nonlinear heat conductivity problem on moving grids

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dc.contributor.authorShilnikov, K. E.
dc.contributor.authorKochanov, M. B.
dc.contributor.authorШильников, Кирилл Евгеньевич
dc.contributor.authorКочанов, Марк Борисович
dc.date.accessioned2024-11-27T12:28:23Z
dc.date.available2024-11-27T12:28:23Z
dc.date.issued2020
dc.description.abstract© Published under licence by IOP Publishing Ltd.For the numerical solution of two-dimensional (2D) nonlinear heat conduction problem a transition to a moving coordinate system is used. A local speed of the latter is chosen in such a way that the considered process is close to stationary. Such coordinate system guarantees a concentration of grid nodes in a range of the solution features. This allows for a quality improvement of the obtained numerical solution with a small number of computational grid nodes. The developed numerical algorithm is tested on the heat wave propagation problem which has an exact solution.
dc.identifier.citationShilnikov, K. E. Numerical solution of two-dimensional (2D) nonlinear heat conductivity problem on moving grids / Shilnikov, K.E., Kochanov, M.B. // Journal of Physics: Conference Series. - 2020. - 1686. - № 1. - 10.1088/1742-6596/1686/1/012038
dc.identifier.doi10.1088/1742-6596/1686/1/012038
dc.identifier.urihttps://www.doi.org/10.1088/1742-6596/1686/1/012038
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85097973533&origin=resultslist
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/22783
dc.relation.ispartofJournal of Physics: Conference Series
dc.titleNumerical solution of two-dimensional (2D) nonlinear heat conductivity problem on moving grids
dc.typeConference Paper
dspace.entity.typePublication
oaire.citation.issue1
oaire.citation.volume1686
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relation.isAuthorOfPublication.latestForDiscovery50215c26-d281-4040-854b-bf0029405e12
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