High Order Fluctuation Schemes on Triangular Meshes
dc.contributor.author | Abgrall, R. | en_US |
dc.contributor.author | Roe, Philip L. | en_US |
dc.date.accessioned | 2006-09-11T15:31:21Z | |
dc.date.available | 2006-09-11T15:31:21Z | |
dc.date.issued | 2003-12 | en_US |
dc.identifier.citation | Abgrall, R.; Roe, P. L.; (2003). "High Order Fluctuation Schemes on Triangular Meshes." Journal of Scientific Computing 19 (1-3): 3-36. <http://hdl.handle.net/2027.42/44979> | en_US |
dc.identifier.issn | 0885-7474 | en_US |
dc.identifier.issn | 1573-7691 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/44979 | |
dc.description.abstract | We develop a new class of schemes for the numerical solution of first-order steady conservation laws. The schemes are of the residual distribution, or fluctuation-splitting type. These schemes have mostly been developed in the context of triangular or tetrahedral elements whose degrees of freedom are their nodal values. We work here with more general elements that allow high-order accuracy. We introduce, for an arbitrary number of degrees of freedom, a simple mapping from a low-order monotone scheme to a monotone scheme that is as accurate as the degrees of freedom will allow. Proofs of consistency, convergence and accuracy are presented, and numerical examples from second, third and fourth-order schemes. | en_US |
dc.format.extent | 555457 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Kluwer Academic Publishers-Plenum Publishers; Plenum Publishing Corporation ; Springer Science+Business Media | en_US |
dc.subject.other | Finite Elements | en_US |
dc.subject.other | Appl.Mathematics/Computational Methods of Engineering | en_US |
dc.subject.other | Algorithms | en_US |
dc.subject.other | Mathematics | en_US |
dc.subject.other | Computational Mathematics and Numerical Analysis | en_US |
dc.subject.other | Mathematical and Computational Physics | en_US |
dc.subject.other | Upwind Stabilized Schemes | en_US |
dc.subject.other | Hyperbolic Problems | en_US |
dc.subject.other | Residual Distributive Schemes | en_US |
dc.subject.other | High Order Schemes | en_US |
dc.title | High Order Fluctuation Schemes on Triangular Meshes | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Science (General) | en_US |
dc.subject.hlbsecondlevel | Education | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.subject.hlbtoplevel | Social Sciences | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | W. M. Keck Laboratory for Computational Fluid Dynamics, Department of Aerospace Engineering, University of Michigan, Ann Arbor, Michigan, 48109 | en_US |
dc.contributor.affiliationother | Mathématiques Appliquées de Bordeaux, Université Bordeaux I, 33 405, Talence Cedex, France; Institut Universitaire de France, France | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/44979/1/10915_2004_Article_460004.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1023/A:1025335421202 | en_US |
dc.identifier.source | Journal of Scientific Computing | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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