Optimized Weighted Essentially Nonoscillatory third order schemes for hyperbolic conservation laws

dc.contributor.authorAppadu, A. Rao
dc.contributor.authorPeer, A.A.I.
dc.contributor.editorEl-Amin, Mohamed Fathy
dc.contributor.emailrao.appadu@up.ac.zaen_US
dc.date.accessioned2013-10-28T08:55:59Z
dc.date.available2013-10-28T08:55:59Z
dc.date.issued2013
dc.description.abstractWe describe briefly how a third-order Weighted Essentially Nonoscillatory (WENO) scheme is derived by coupling a WENO spatial discretization scheme with a temporal integration scheme. The scheme is termed WENO3. We perform a spectral analysis of its dispersive and dissipative properties when used to approximate the ID linear advection equation and use a technique of optimisation to find the optimal cfl number of the scheme.We carry out some numerical experiments dealing with wave propagation based on the ID linear advection and ID Burger’s equation at some different cfl numbers and show that the optimal cfl does indeed cause less dispersion, less dissipation, and lower L1 errors. Lastly, we test numerically the order of convergence of the WENO3 scheme.en_US
dc.description.librarianam2013en_US
dc.description.sponsorshipThe Research Development Programme (RDP) of the University of Pretoriaen_US
dc.description.urihttp://www.hindawi.com/journals/jam/en_US
dc.identifier.citationAppadu, AR & Peer, AAI 2013, 'Optimized Weighted Essentially Nonoscillatory third order schemes for hyperbolic conservation laws', Journal of Applied Mathematics, vol. 2013, no. Article ID 428681, pp. 1-12.en_US
dc.identifier.issn1110-757X (print)
dc.identifier.issn1687-0042 (online)
dc.identifier.other10.1155/2013/428681
dc.identifier.urihttp://hdl.handle.net/2263/32188
dc.language.isoenen_US
dc.publisherHindawi Publishing Corporationen_US
dc.rights© 2013 A. R. Appadu and A. A. I. Peer. This is an open access article distributed under the Creative Commons Attribution Licenseen_US
dc.subjectThird-order Weighted Essentially Nonoscillatory (WENO) schemeen_US
dc.subjectWENO3 schemeen_US
dc.titleOptimized Weighted Essentially Nonoscillatory third order schemes for hyperbolic conservation lawsen_US
dc.typeArticleen_US

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