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dc.contributor.author
Maurer, Jochen
dc.date.accessioned
2022-08-30T13:17:15Z
dc.date.available
2017-06-13T03:25:22Z
dc.date.available
2022-08-30T13:17:15Z
dc.date.issued
1997-10
dc.identifier.uri
http://hdl.handle.net/20.500.11850/145817
dc.identifier.doi
10.3929/ethz-a-004284924
dc.description.abstract
Starting from a numerical scheme for solving systems of hyperbolic partial differential equations the transition to parabolic equations of the type of advection-diffusion equations needs a different treatment of the viscous part. Since we are using a genuine multi-dimensional scheme also the fact that the diffusion acts in infinitely many directions shall be captured properly. Therefore, to be able to use this scheme we have developed a decomposition of the scalar advection-diffusion equation into a special system of advection equations. In particular the interaction of the advection and diffusion part will be taken into account. The extension to the Navier-Stokes equations which are a system of mixed hyperbolic-parabolic type is possible and will be pointed out.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
Seminar for Applied Mathematics, ETH Zurich
en_US
dc.rights.uri
http://rightsstatements.org/page/InC-NC/1.0/
dc.subject
Finite Volume Schemes
en_US
dc.subject
Hyperbolic conservation laws
en_US
dc.subject
Numerical Viscosity
en_US
dc.subject
Euler equations
en_US
dc.subject
Advection-Diffusion Equation
en_US
dc.subject
Navier-Stokes Equations
en_US
dc.title
The Method of Transport for mixed hyperbolic-parabolic systems
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dc.type
Report
dc.rights.license
In Copyright - Non-Commercial Use Permitted
ethz.journal.title
SAM Research Report
ethz.journal.volume
1997-13
en_US
ethz.size
38 p.
en_US
ethz.code.ddc
DDC - DDC::5 - Science::510 - Mathematics
en_US
ethz.publication.place
Zurich
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ethz.publication.status
published
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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
en_US
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
ethz.identifier.url
https://math.ethz.ch/sam/research/reports.html?id=218
ethz.date.deposited
2017-06-13T03:26:43Z
ethz.source
ECOL
ethz.identifier.importid
imp59366a49b5f2d49117
ethz.ecolpid
eth:24751
ethz.eth
yes
en_US
ethz.availability
Open access
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ethz.rosetta.installDate
2017-07-18T21:14:47Z
ethz.rosetta.lastUpdated
2020-02-15T01:03:52Z
ethz.rosetta.exportRequired
true
ethz.rosetta.versionExported
true
ethz.COinS
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