The technique of MIEELDLD as a measure of the shock-capturing property of numerical methods for hyperbolic conservation laws

dc.contributor.authorAppadu, A. Rao
dc.contributor.authorNguetchue, S.N. Neossi
dc.contributor.emailrao.appadu@up.ac.zaen_ZA
dc.date.accessioned2015-07-14T08:20:24Z
dc.date.available2015-07-14T08:20:24Z
dc.date.issued2015-04
dc.description.abstractIn this paper, we use some numerical methods namely Lax-Wendroff (LW), two-step Lax- Friedrichs (LF), two variants of composite methods made up of Lax-Wendroff and the twostep Lax-Friedrichs and Fromm’s scheme to solve a 1D linear advection and 1D diffusionless Burger’s equation, at some values of the Courant number. We then use two optimisation techniques based on both dispersion and dissipation and two optimisation techniques based on only dispersion and obtain the variation of the integrated errors vs the CFL number. It is seen that out of the five techniques, only one is a good measure of the shock-capturing of property of numerical methods.en_ZA
dc.description.embargo2015-10-31en_ZA
dc.description.librarianhb2015en_ZA
dc.description.sponsorshipResearch Development Programme of the University of Pretoriaen_ZA
dc.description.urihttp://www.inderscience.com/jhome.php?jcode=PCFDen_ZA
dc.identifier.citationAppadu, AR & Nguetchue, SNN 2015, 'The technique of MIEELDLD as a measure of the shock-capturing property of numerical methods for hyperbolic conservation laws', Progress in Computational Fluid Dynamics, vol. 15, no. 4, pp. 247-264.en_ZA
dc.identifier.issn1468-4349 (print)
dc.identifier.issn1741-5233 (online)
dc.identifier.other10.1504/PCFD.2015.070441
dc.identifier.urihttp://hdl.handle.net/2263/48673
dc.language.isoenen_ZA
dc.publisherInderscienceen_ZA
dc.rights© 2015 Inderscience Enterprises Ltd.en_ZA
dc.subjectDispersionen_ZA
dc.subjectDissipationen_ZA
dc.subjectOptimisationen_ZA
dc.subjectComposite methodsen_ZA
dc.subjectShock capturing propertiesen_ZA
dc.subjectHyperbolic conservation lawsen_ZA
dc.subjectDampingen_ZA
dc.subjectNumerical methodsen_ZA
dc.subject1D linear advection equationen_ZA
dc.subjectLax-Wendroffen_ZA
dc.subjectLax-Friedrichsen_ZA
dc.subjectFrommen_ZA
dc.subject1D diffusionless Burger equationen_ZA
dc.subjectCourant numberen_ZA
dc.titleThe technique of MIEELDLD as a measure of the shock-capturing property of numerical methods for hyperbolic conservation lawsen_ZA
dc.typePostprint Articleen_ZA

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