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dc.contributor.CRUESPUNIVERSIDADE ESTADUAL DE CAMPINASpt_BR
dc.contributor.authorunicampDoria, Mauro Melchiadespt_BR
dc.typeArtigopt_BR
dc.titleLattice Boltzmann method for semiclassical fluidspt_BR
dc.contributor.authorCoelho, Rodrigo C. V.pt_BR
dc.contributor.authorDoria, Mauro M.pt_BR
dc.subjectMétodo de Lattice Boltzmannpt_BR
dc.subjectHidrodinâmicapt_BR
dc.subjectDinâmica dos fluidospt_BR
dc.subject.otherlanguageLattice Boltzmann methodpt_BR
dc.subject.otherlanguageHydrodynamicspt_BR
dc.subject.otherlanguageFluid dynamicspt_BR
dc.description.abstractWe determine properties of the lattice Boltzmann method for semiclassical fluids, which is based on the Boltzmann equation and on an equilibrium distribution function given either by the Bose-Einstein or the Fermi-Dirac distributions. New D-dimensional polynomials, that generalize the Hermite ones, are introduced and we find that the weight that renders the polynomials orthonormal has to be approximately equal, or equal, to the equilibrium distribution function itself for an efficient numerical implementation of the lattice Boltzmann method. In light of the new polynomials we discuss the convergence of the series expansion of the equilibrium distribution function and the obtainment of the hydrodynamic equations. A discrete quadrature is proposed and some discrete lattices in one, two and three dimensions associated to weight functions other than the Hermite weight are obtained. We derive the forcing term for the LBM, given by the Lorentz force, which dependents on the microscopic velocity, since the bosonic and fermionic particles can be charged. Motivated by the recent experimental observations of the hydrodynamic regime of electrons in graphene, we build an isothermal lattice Boltzmann method for electrons in metals in two and three dimensions. This model is validated by means of the Riemann problem and of the Poiseuille flow. As expected for electron in metals, the Ohm's law is recovered for a system analogous to a porous medium.pt_BR
dc.relation.ispartofComputers & fluids. An international journalpt_BR
dc.relation.ispartofabbreviationComput. fluidspt_BR
dc.publisher.cityOxfordpt_BR
dc.publisher.countryReino Unidopt_BR
dc.publisherPergamon Presspt_BR
dc.date.issued2018pt_BR
dc.date.monthofcirculationMar.pt_BR
dc.language.isoengpt_BR
dc.description.volume165pt_BR
dc.description.firstpage144pt_BR
dc.description.lastpage159pt_BR
dc.rightsfechadopt_BR
dc.sourceWOSpt_BR
dc.identifier.issn0045-7930pt_BR
dc.identifier.eissn1879-0747pt_BR
dc.identifier.doi10.1016/j.compfluid.2018.01.019pt_BR
dc.identifier.urlhttps://www.sciencedirect.com/science/article/pii/S0045793018300276pt_BR
dc.description.sponsorshipFUNDAÇÃO CARLOS CHAGAS FILHO DE AMPARO À PESQUISA DO ESTADO DO RIO DE JANEIRO - FAPERJpt_BR
dc.description.sponsorship1FAPERJ - FUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DO RIO DE JANEIROpt_BR
dc.date.available2020-03-30T18:51:06Z-
dc.date.accessioned2020-03-30T18:51:06Z-
dc.description.provenanceMade available in DSpace on 2020-03-30T18:51:06Z (GMT). No. of bitstreams: 0 Previous issue date: 2018. Added 1 bitstream(s) on 2020-04-27T20:06:45Z : No. of bitstreams: 1 000428491600012.pdf: 1122416 bytes, checksum: 1c0a6dff7222ca18a9776b521477f173 (MD5) Bitstreams deleted on 2020-04-28T12:19:06Z: 000428491600012.pdf,. Added 1 bitstream(s) on 2020-04-28T12:24:12Z : No. of bitstreams: 1 000428491600012.pdf: 1192916 bytes, checksum: 2f593c960cc5d4079eb92322ec673b2e (MD5)en
dc.identifier.urihttp://repositorio.unicamp.br/jspui/handle/REPOSIP/337997-
dc.contributor.departmentDepartamento de Física da Matéria Condensadapt_BR
dc.contributor.unidadeInstituto de Física "Gleb Wataghin"pt_BR
dc.subject.keywordSemi-classical fluidspt_BR
dc.subject.keywordElectron hydrodynamicspt_BR
dc.identifier.source000428491600012pt_BR
dc.creator.orcid0000-0001-7207-7697pt_BR
dc.type.formArtigopt_BR
dc.description.sponsorNoteAgências de fomento estrangeiras apoiaram essa pesquisa, mais informações acesse artigopt_BR
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