High order algebraic splitting for magnetohydrodynamics simulation

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dc.contributor.authorAkbaş, Mine
dc.contributor.authorMohebujjaman, Muhammad
dc.contributor.authorRebholz, Leo G.
dc.contributor.authorXiao, Mengying
dc.date.accessioned2020-05-01T12:10:21Z
dc.date.available2020-05-01T12:10:21Z
dc.date.issued2017
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.descriptionWOS: 000400878000009en_US
dc.description.abstractThis paper proposes, analyzes and tests high order algebraic splitting methods for magnetohydrodynamic (MHD) flows. The main idea is to apply, at each time step, Yosida-type algebraic splitting to a block saddle point problem that arises from a particular incremental formulation of MHD. By doing so, we dramatically reduce the complexity of the nonsymmetric block Schur complement by decoupling it into two Stokes-type Schur complements, each of which is symmetric positive definite and also is the same at each time step. We prove the splitting is 0(Delta t(3)) accurate, and if used together with (block-)pressure correction, is fourth order. A full analysis of the solver is given, both as a linear algebraic approximation, but also in a finite element context that uses the natural spatial norms. Numerical tests are given to illustrate the theory and show the effectiveness of the method. (C) 2017 Elsevier B.V. All rights reserved.en_US
dc.description.sponsorshipNSFNational Science Foundation (NSF) [DMS DMS1522191]en_US
dc.description.sponsorshipSecond, third and fourth authors were partially supported by NSF Grant DMS DMS1522191.en_US
dc.identifier.doi10.1016/j.cam.2017.02.021en_US
dc.identifier.endpage142en_US
dc.identifier.issn0377-0427
dc.identifier.issn1879-1778
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage128en_US
dc.identifier.urihttps://doi.org/10.1016/j.cam.2017.02.021
dc.identifier.urihttps://hdl.handle.net/20.500.12684/6155
dc.identifier.volume321en_US
dc.identifier.wosWOS:000400878000009en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Science Bven_US
dc.relation.ispartofJournal Of Computational And Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectMagnetohydrodynamicsen_US
dc.subjectAlgebraic splittingen_US
dc.subjectYosida splittingen_US
dc.titleHigh order algebraic splitting for magnetohydrodynamics simulationen_US
dc.typeArticleen_US

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