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dc.contributor.author
Popov, Igor Yurievich
dc.contributor.author
Lobanov, Igor S.
dc.contributor.author
Popov, Sergey I.
dc.contributor.author
Popov, Anton I.
dc.contributor.author
Gerya, Taras V.
dc.date.accessioned
2019-07-03T17:54:41Z
dc.date.available
2017-06-11T10:13:05Z
dc.date.available
2019-07-03T17:54:41Z
dc.date.issued
2014
dc.identifier.issn
1869-9510
dc.identifier.issn
1869-9529
dc.identifier.other
10.5194/se-5-461-2014
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/85974
dc.identifier.doi
10.3929/ethz-b-000085974
dc.description.abstract
Geodynamic modeling is often related with challenging computations involving solution of the Stokes and continuity equations under the condition of highly variable viscosity. Based on a new analytical approach we have developed particular analytical solutions for 2-D and 3-D incompressible Stokes flows with both linearly and exponentially variable viscosity. We demonstrate how these particular solutions can be converted into 2-D and 3-D test problems suitable for benchmarking numerical codes aimed at modeling various mantle convection and lithospheric dynamics problems. The Main advantage of this new generalized approach is that a large variety of benchmark solutions can be generated, including relatively complex cases with open model boundaries, non-vertical gravity and variable gradients of the viscosity and density fields, which are not parallel to the Cartesian axes. Examples of respective 2-D and 3-D MatLab codes are provided with this paper.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
Copernicus
en_US
dc.rights.uri
http://creativecommons.org/licenses/by/3.0/
dc.title
Practical analytical solutions for benchmarking of 2-D and 3-D geodynamic Stokes problems with variable viscosity
en_US
dc.type
Journal Article
dc.rights.license
Creative Commons Attribution 3.0 Unported
dc.date.published
2014-06-10
ethz.journal.title
Solid Earth
ethz.journal.volume
5
en_US
ethz.journal.issue
1
en_US
ethz.journal.abbreviated
Solid earth
ethz.pages.start
461
en_US
ethz.pages.end
476
en_US
ethz.version.deposit
publishedVersion
en_US
ethz.identifier.wos
ethz.identifier.nebis
010169024
ethz.publication.place
Göttingen
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02330 - Dep. Erdwissenschaften / Dep. of Earth Sciences::02506 - Institut für Geophysik / Institute of Geophysics::03698 - Tackley, Paul / Tackley, Paul
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02330 - Dep. Erdwissenschaften / Dep. of Earth Sciences::02506 - Institut für Geophysik / Institute of Geophysics::03698 - Tackley, Paul / Tackley, Paul
ethz.date.deposited
2017-06-11T10:13:52Z
ethz.source
ECIT
ethz.identifier.importid
imp5936520b1dcd112246
ethz.ecitpid
pub:135428
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2017-07-12T19:58:56Z
ethz.rosetta.lastUpdated
2019-07-03T17:54:51Z
ethz.rosetta.exportRequired
true
ethz.rosetta.versionExported
true
ethz.COinS
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