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dc.contributor.authorEl-Amin, Mohamed
dc.contributor.authorSun, Shuyu
dc.contributor.authorSalama, Amgad
dc.date.accessioned2015-05-07T13:54:21Z
dc.date.available2015-05-07T13:54:21Z
dc.date.issued2013-06-01
dc.identifier.citationOn the Stability of the Finite Difference based Lattice Boltzmann Method 2013, 18:2101 Procedia Computer Science
dc.identifier.issn18770509
dc.identifier.doi10.1016/j.procs.2013.05.380
dc.identifier.urihttp://hdl.handle.net/10754/552433
dc.description.abstractThis paper is devoted to determining the stability conditions for the finite difference based lattice Boltzmann method (FDLBM). In the current scheme, the 9-bit two-dimensional (D2Q9) model is used and the collision term of the Bhatnagar- Gross-Krook (BGK) is treated implicitly. The implicitness of the numerical scheme is removed by introducing a new distribution function different from that being used. Therefore, a new explicit finite-difference lattice Boltzmann method is obtained. Stability analysis of the resulted explicit scheme is done using Fourier expansion. Then, stability conditions in terms of time and spatial steps, relaxation time and explicitly-implicitly parameter are determined by calculating the eigenvalues of the given difference system. The determined conditions give the ranges of the parameters that have stable solutions.
dc.publisherElsevier BV
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S1877050913005231
dc.rightsArchived with thanks to Procedia Computer Science. http://creativecommons.org/licenses/by-nc-nd/3.0/
dc.subjectLBM
dc.subjectFinite difference LBM
dc.subjectStability anylasis
dc.titleOn the Stability of the Finite Difference based Lattice Boltzmann Method
dc.typeConference Paper
dc.contributor.departmentComputational Transport Phenomena Lab
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentEarth Science and Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalProcedia Computer Science
dc.conference.date2013-06-05 to 2013-06-07
dc.conference.name13th Annual International Conference on Computational Science, ICCS 2013
dc.conference.locationBarcelona, ESP
dc.eprint.versionPublisher's Version/PDF
dc.contributor.institutionDepartment of Mathematics, Faculty of Science, Aswan University, Aswan 81528, Egypt
kaust.personEl-Amin, Mohamed
kaust.personSun, Shuyu
kaust.personSalama, Amgad
refterms.dateFOA2018-06-13T09:36:49Z
dc.date.published-online2013-06-01
dc.date.published-print2013


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