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SPECTRAL VANISHING VISCOSITY METHOD FOR NONLINEAR CONSERVATION LAWS

dc.contributor.authorGUO, BEN-YU
dc.contributor.authorMA, HE-PING
dc.contributor.authorTADMOR, EITAN
dc.date.accessioned2008-11-03T18:48:45Z
dc.date.available2008-11-03T18:48:45Z
dc.date.issued2001
dc.identifier.citationB.-Y. Guo, H.-P. Ma & E. Tadmor (2001). Spectral vanishing viscosity method for nonlinear conservation laws. SIAM Journal on Numerical Analysis 39 (2001), 1254-1268.en
dc.identifier.urihttp://hdl.handle.net/1903/8660
dc.description.abstractWe propose a new spectral viscosity(SV) scheme for the accurate solution of nonlinear conservation laws. It is proved that the SV solution converges to the unique entropysolution under appropriate reasonable conditions. The proposed SV scheme is implemented directlyon high modes of the computed solution. This should be compared with the original nonperiodic SV scheme introduced byMada y, Ould Kaber, and Tadmor in [SIAM J. Numer. Anal., 30 (1993), 321–342], where SV is activated on the derivative of the SV solution. The new proposed SV method could be viewed as a correction of the former, and it offers an improvement which is confirmed byour numerical experiments. A postprocessing method is implemented to greatlyenhance the accuracyof the computed SV solution. The numerical results show the efficiencyof the new method.en
dc.format.extent206641 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoen_USen
dc.publisherCopyright: Society for Industrial and Applied Mathematicsen
dc.subjectspectral methoden
dc.subjectvanishing viscosityen
dc.subjectconservation lawen
dc.titleSPECTRAL VANISHING VISCOSITY METHOD FOR NONLINEAR CONSERVATION LAWSen
dc.typeArticleen
dc.relation.isAvailableAtCollege of Computer, Mathematical & Physical Sciencesen_us
dc.relation.isAvailableAtMathematicsen_us
dc.relation.isAvailableAtDigital Repository at the University of Marylanden_us
dc.relation.isAvailableAtUniversity of Maryland (College Park, MD)en_us


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