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dc.contributor.author
Coclite, G.M.
dc.contributor.author
Di Ruvo, L.
dc.contributor.author
Ernest, J.
dc.contributor.author
Mishra, Siddhartha
dc.date.accessioned
2017-06-10T12:27:47Z
dc.date.available
2017-06-10T12:27:47Z
dc.date.issued
2012
dc.identifier.uri
http://hdl.handle.net/20.500.11850/61370
dc.description.abstract
Flow of two phases in a heterogeneous porous medium is modeled by a scalar conservation law with a discontinuous coefficient. As solutions of conservation laws with discontinuous coefficients depend explicitly on the underlying small scale effects, we consider a model where the relevant small scale effect is dynamic capillary pressure. We prove that the limit of vanishing dynamic capillary pressure exists and is a weak solution of the corresponding scalar conservation law with discontinuous coefficient. A robust numerical scheme for approximating the resulting limit solutions is introduced. Numerical experiments show that the scheme is able to approximate interesting solution features such as propagating non-classical shock waves as well as discontinuous standing waves efficiently.
dc.language.iso
en
dc.publisher
ETH, Seminar für Angewandte Mathematik
dc.title
Convergence of vanishing capillarity approximations for scalar conservation laws with discontinuous fluxes
dc.type
Report
ethz.journal.title
Research Report
ethz.journal.volume
2012-30
ethz.size
16 p.
ethz.identifier.wos
ethz.publication.place
Zürich
ethz.publication.status
unpublished
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics::03851 - Mishra, Siddhartha / Mishra, Siddhartha
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics::03851 - Mishra, Siddhartha / Mishra, Siddhartha
ethz.identifier.url
http://www.sam.math.ethz.ch/sam_reports/reports_final/reports2012/2012-30.pdf
ethz.date.deposited
2017-06-10T12:29:22Z
ethz.source
ECIT
ethz.identifier.importid
imp593650333c34d70363
ethz.ecitpid
pub:97796
ethz.eth
yes
ethz.availability
Metadata only
ethz.rosetta.installDate
2017-07-12T22:08:59Z
ethz.rosetta.lastUpdated
2018-11-02T07:36:25Z
ethz.rosetta.versionExported
true
ethz.COinS
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