DC FieldValueLanguage
dc.contributorDepartment of Applied Mathematicsen_US
dc.creatorQiao, Zen_US
dc.creatorYang, Xen_US
dc.creatorZhang, Yen_US
dc.date.accessioned2021-07-15T02:12:05Z-
dc.date.available2021-07-15T02:12:05Z-
dc.identifier.issn0885-7474en_US
dc.identifier.urihttp://hdl.handle.net/10397/90513-
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.subjectCahn–Hilliard equationen_US
dc.subjectFourth order nonlinear partial differential equationen_US
dc.subjectLattice Boltzmann methoden_US
dc.titleA novel lattice Boltzmann model for fourth order nonlinear partial differential equationsen_US
dc.typeJournal/Magazine Articleen_US
dc.identifier.volume87en_US
dc.identifier.issue2en_US
dc.identifier.doi10.1007/s10915-021-01471-6en_US
dcterms.abstractIn this paper, a novel lattice Boltzmann (LB) equation model is proposed to solve the fourth order nonlinear partial differential equation (NPDE). Different from existing LB models, a source distribution function is introduced to remove some unwanted terms in the nonlinear part of the equation. Hereby, the equilibrium distribution function is designed to follow the rule of Chapman–Enskog (C–E) analysis. Through the C–E procedure, the fourth order NPDE can be recovered perfectly from the proposed LB model. A series of numerical experiments have been carried out to solve some widely studied fourth order NPDEs, including the Kuramoto–Sivashinsky equation, Cahn–Hilliard equation with double-well potential and a fourth order diffuse interface model with Peng–Robinson equation of state. Numerical results show that the performance of the present LB model is much better than other existing LB models.en_US
dcterms.accessRightsembargoed accessen_US
dcterms.bibliographicCitationJournal of scientific computing, May 2021, v. 87, no. 2, 51en_US
dcterms.isPartOfJournal of scientific computingen_US
dcterms.issued2021-05-
dc.identifier.scopus2-s2.0-85103828048-
dc.identifier.artn51en_US
dc.description.validate202107 bcvcen_US
dc.description.oaNot applicableen_US
dc.identifier.FolderNumbera0966-n01-
dc.identifier.SubFormID2246-
dc.description.fundingSourceRGCen_US
dc.description.fundingSourceOthersen_US
dc.description.fundingTextRGC: 15325816en_US
dc.description.fundingTextG-UAEY, 1-YW1Den_US
dc.description.pubStatusPublisheden_US
dc.date.embargo2022.04.02en_US
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