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dc.contributor.author
May, Sandra
dc.contributor.author
Berger, Marsha
dc.date.accessioned
2017-11-07T09:56:27Z
dc.date.available
2017-06-11T23:32:13Z
dc.date.available
2017-11-07T09:56:27Z
dc.date.issued
2015-12
dc.identifier.uri
http://hdl.handle.net/20.500.11850/111333
dc.description.abstract
We present a new mixed explicit implicit time stepping scheme for solving the linear advection equation on a Cartesian cut cell mesh. Our scheme uses a standard second-order explicit scheme on Cartesian cells away from the embedded boundary. On cut cells, a second-order implicit scheme is used. This approach overcomes the small cell problem – that standard schemes are not stable on the arbitrarily small cut cells – while keeping the cost fairly low. We examine several approaches for coupling the schemes. For one of them, which we call flux bounding, we can show a TVD result. We also discuss the solution of the resulting implicit systems. All components of the scheme have been kept simple enough to afford the extension of the scheme to three dimensions. Numerical results in one, two, and three dimensions indicate that the resulting scheme is second-order accurate in L1 and between first- and second-order accurate along the embedded boundary.
en_US
dc.language.iso
en
en_US
dc.publisher
ETH Zurich, Seminar for Applied Mathematics
en_US
dc.subject
Cartesian cut cell method
en_US
dc.subject
Finite volume schemes
en_US
dc.subject
Embedded boundary grid
en_US
dc.subject
Small cell problem
en_US
dc.subject
Explicit implicit scheme
en_US
dc.title
An Explicit Implicit Scheme for Cut Cells in Embedded Boundary Meshes
en_US
dc.type
Report
ethz.journal.title
Research Report
ethz.journal.volume
2015-44
en_US
ethz.size
29 p.
en_US
ethz.publication.place
Zurich
en_US
ethz.publication.status
published
en_US
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
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::03851 - Mishra, Siddhartha / Mishra, Siddhartha
ethz.identifier.url
https://www.math.ethz.ch/sam/research/reports.html?id=634
ethz.date.deposited
2017-06-11T23:32:33Z
ethz.source
ECIT
ethz.identifier.importid
imp59365403949c762418
ethz.ecitpid
pub:172726
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2017-11-07T09:56:30Z
ethz.rosetta.lastUpdated
2017-11-07T09:56:30Z
ethz.rosetta.versionExported
true
ethz.COinS
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