Show simple item record

dc.contributor.author
Lanthaler, Samuel
dc.contributor.author
Mishra, Siddhartha
dc.contributor.author
Parés-Pulido, Carlos
dc.date.accessioned
2020-08-07T09:28:10Z
dc.date.available
2020-08-04T09:44:03Z
dc.date.available
2020-08-07T09:28:10Z
dc.date.issued
2020-01
dc.identifier.uri
http://hdl.handle.net/20.500.11850/429915
dc.description.abstract
We prove the conservation of energy for weak and statistical solutions of the two-dimensional Euler equations, generated as strong (in an appropriate topology) limits of the underlying Navier-Stokes equations and a Monte Carlo-Spectral Viscosity numerical approximation, respectively. We characterize this conservation of energy in terms of a uniform decay of the so-called structure function, allowing us to extend existing results on energy conservation. Moreover, we present numerical experiments with a wide variety of initial data to validate our theory and to observe energy conservation in a large class of two-dimensional incompressible flows.
en_US
dc.language.iso
en
en_US
dc.publisher
Seminar for Applied Mathematics, ETH Zurich
en_US
dc.subject
Incompressible Euler
en_US
dc.subject
Energy conservation
en_US
dc.subject
Anomalous dissipation
en_US
dc.subject
Turbulence
en_US
dc.subject
Statistical solution
en_US
dc.subject
Vorticity
en_US
dc.subject
Structure function
en_US
dc.title
On the conservation of energy in two-dimensional incompressible flows
en_US
dc.type
Report
ethz.journal.title
SAM Research Report
ethz.journal.volume
2020-06
en_US
ethz.size
47 p.
en_US
ethz.grant
Computation and analysis of statistical solutions of fluid flow
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
en_US
ethz.identifier.url
https://math.ethz.ch/sam/research/reports.html?id=879
ethz.grant.agreementno
770880
ethz.grant.fundername
EC
ethz.grant.funderDoi
10.13039/501100000780
ethz.grant.program
H2020
ethz.date.deposited
2020-08-04T09:44:13Z
ethz.source
FORM
ethz.eth
yes
en_US
ethz.identifier.internal
https://math.ethz.ch/sam/research/reports.html?id=879
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2020-08-07T09:28:23Z
ethz.rosetta.lastUpdated
2020-08-07T09:28:23Z
ethz.rosetta.versionExported
true
ethz.COinS
ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.atitle=On%20the%20conservation%20of%20energy%20in%20two-dimensional%20incompressible%20flows&rft.jtitle=SAM%20Research%20Report&rft.date=2020-01&rft.volume=2020-06&rft.au=Lanthaler,%20Samuel&Mishra,%20Siddhartha&Par%C3%A9s-Pulido,%20Carlos&rft.genre=report&
 Search via SFX

Files in this item

FilesSizeFormatOpen in viewer

There are no files associated with this item.

Publication type

Show simple item record