An adaptive multiresolution scheme with local time stepping for evolutionary PDEs

dc.creatorDomingues, MO
dc.creatorGomes, SM
dc.creatorRoussel, O
dc.creatorSchneider, K
dc.date2008
dc.dateAPR 1
dc.date2014-11-19T14:45:56Z
dc.date2015-11-26T18:03:55Z
dc.date2014-11-19T14:45:56Z
dc.date2015-11-26T18:03:55Z
dc.date.accessioned2018-03-29T00:45:56Z
dc.date.available2018-03-29T00:45:56Z
dc.identifierJournal Of Computational Physics. Academic Press Inc Elsevier Science, v. 227, n. 8, n. 3758, n. 3780, 2008.
dc.identifier0021-9991
dc.identifierWOS:000254960600003
dc.identifier10.1016/j.jcp.2007.11.046
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/54275
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/54275
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/54275
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1292693
dc.descriptionWe present a fully adaptive numerical scheme for evolutionary PDEs in Cartesian geometry based on a second-order finite volume discretization. A multiresolution strategy allows local grid refinement while controlling the approximation error in space. For time discretization we use an explicit Runge-Kutta scheme of second-order with a scale-dependent time step. On the finest scale the size of the time step is imposed by the stability condition of the explicit scheme. On larger scales, the time step can be increased without violating the stability requirement of the explicit scheme. The implementation uses a dynamic tree data structure. Numerical validations for test problems in one space dimension demonstrate the efficiency and accuracy of the local time-stepping scheme with respect to both multiresolution scheme with global time stepping and finite volume scheme on a regular grid. Fully adaptive three-dimensional computations for reaction-diffusion equations illustrate the additional speed-up of the local time stepping for a thermo-diffusive flame instability. (C) 2007 Elsevier Inc. All rights reserved.
dc.description227
dc.description8
dc.description3758
dc.description3780
dc.languageen
dc.publisherAcademic Press Inc Elsevier Science
dc.publisherSan Diego
dc.publisherEUA
dc.relationJournal Of Computational Physics
dc.relationJ. Comput. Phys.
dc.rightsfechado
dc.rightshttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dc.sourceWeb of Science
dc.subjectfinite volume
dc.subjectadaptivity
dc.subjectmultiresolution
dc.subjectevolutionary partial differential equation
dc.subjectHyperbolic Conservation-laws
dc.subjectMesh Refinement
dc.subjectVarying Time
dc.subjectDifferential-equations
dc.subjectSpace Grids
dc.subjectAlgorithms
dc.subjectSystems
dc.titleAn adaptive multiresolution scheme with local time stepping for evolutionary PDEs
dc.typeArtículos de revistas


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