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Numerical entropy production for shallow water flows

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dc.contributor.authorMungkasi, Sudi
dc.contributor.authorRoberts, Stephen
dc.date.accessioned2015-12-07T22:39:08Z
dc.date.issued2011
dc.date.updated2015-12-07T10:45:39Z
dc.description.abstractA numerical scheme for the entropy of the one dimensional shallow water wave equations is presented. The scheme follows from a well- balanced finite volume method for the quantity vector having water height and momentum as its components. The local truncation error of the entropy is called the numerical entropy production, and can be used to detect the location of a shock discontinuity. We show by numerical tests that the numerical entropy production performs better in detecting such a discontinuity than two local truncation errors of the numerical quantity.
dc.identifier.issn1446-8735
dc.identifier.urihttp://hdl.handle.net/1885/23730
dc.publisherAustralian Mathematical Society
dc.sourceANZIAM Journal
dc.titleNumerical entropy production for shallow water flows
dc.typeJournal article
local.bibliographicCitation.lastpageC17
local.bibliographicCitation.startpageC1
local.contributor.affiliationMungkasi, Sudi, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationRoberts, Stephen, College of Physical and Mathematical Sciences, ANU
local.contributor.authoruidMungkasi, Sudi, u4435754
local.contributor.authoruidRoberts, Stephen, u8602296
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor010302 - Numerical Solution of Differential and Integral Equations
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciences
local.identifier.ariespublicationu4685828xPUB28
local.identifier.citationvolume52
local.identifier.scopusID2-s2.0-84866919882
local.type.statusPublished Version

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