Finite difference schemes for solving system equations of gas dynamic in a class of discontinuous functions

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dc.contributor.authorRasulov, M
dc.contributor.authorKaraguler, T
dc.date.accessioned2024-03-13T10:35:10Z
dc.date.available2024-03-13T10:35:10Z
dc.date.issued2003
dc.departmentİstanbul Beykent Üniversitesien_US
dc.description.abstractIn this paper, the difference scheme for solving nonlinear system of equations of gas dynamic problems in a class of discontinuous functions is investigated. Firstly, for some simple cases, the nature of solution of the differential equations describing one-dimensional, constant pressure, and isentropic flow of compressible fluids are considered. It has been proved that the solution of this system equations has discontinuous points whose positions are unknown beforehand. In order to obtain the solution of the main problem in a class of discontinuous functions, the auxiliary problem is suggested. The degree of differentiability of the solution of the auxiliary problem is higher than the degree of differentiability of solution of the main problem. Furthermore, the suggested auxiliary problem provides to write out effective and higher order numerical algorithms. The solutions obtained from these algorithms represent the physical nature of the problem with a high accuracy. Some properties of numerical solution are also investigated. Additionally, some numerical experiments are carried out by means of using the auxiliary problem. (C) 2002 Elsevier Science Inc. All rights reserved.en_US
dc.identifier.doi10.1016/S0096-3003(02)00353-3
dc.identifier.endpage164en_US
dc.identifier.issn0096-3003
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-0038486012en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage145en_US
dc.identifier.urihttps://doi.org/10.1016/S0096-3003(02)00353-3
dc.identifier.urihttps://hdl.handle.net/20.500.12662/4289
dc.identifier.volume143en_US
dc.identifier.wosWOS:000183349300009en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Science Incen_US
dc.relation.ispartofApplied Mathematics And Computationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectcomputational hydrodynamicsen_US
dc.subjectnumerical modellingen_US
dc.subjectshock wavesen_US
dc.titleFinite difference schemes for solving system equations of gas dynamic in a class of discontinuous functionsen_US
dc.typeArticleen_US

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