Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
An intrusive hybrid method for discontinuous two-phase flow under uncertainty
Institute for Computational and Mathematical Engineering, Stanford University, USA and Department of Information Technology, Uppsala University, Sweden.
Institute for Computational and Mathematical Engineering, Stanford University, USA.
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-7972-6183
2013 (English)In: Computers & Fluids, ISSN 0045-7930, E-ISSN 1879-0747, Vol. 86, 228-239 p.Article in journal (Refereed) Published
Abstract [en]

An intrusive stochastic projection method for two-phase time-dependent flow subject to uncertainty is presented. Numerical experiments are carried out assuming uncertainty in the location of the physical interface separating the two phases, but the framework generalizes to uncertainty with known distribution in other input data. Uncertainty is represented through a truncated multiwavelet expansion. We assume that the discontinuous features of the solution are restricted to computational subdomains and use a high-order method for the smooth regions coupled weakly through interfaces with a robust shock capturing method for the non-smooth regions. The discretization of the non-smooth region is based on a generalization of the HLL flux, and have many properties in common with its deterministic counterpart. It is simple and robust, and captures the statistics of the shock. The discretization of the smooth region is carried out with high-order finite-difference operators satisfying a summation-by-parts property.

Place, publisher, year, edition, pages
Elsevier, 2013. Vol. 86, 228-239 p.
Keyword [en]
Uncertainty quantification; Stochastic Galerkin method; Hybrid scheme; Summation by parts operators
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-96372DOI: 10.1016/j.compfluid.2013.07.009ISI: 000325834300021OAI: oai:DiVA.org:liu-96372DiVA: diva2:641081
Available from: 2013-08-15 Created: 2013-08-15 Last updated: 2017-12-06

Open Access in DiVA

fulltext(549 kB)168 downloads
File information
File name FULLTEXT01.pdfFile size 549 kBChecksum SHA-512
cccaf2745f66b2920bf5b583ffee714cd28e2bf6e4112da94c9f1092f78abc731f39f95315e055089d87ebe47b15dae1a074e2ae366fd9b6be9aeaa306a85d93
Type fulltextMimetype application/pdf

Other links

Publisher's full text

Authority records BETA

Nordström, Jan

Search in DiVA

By author/editor
Nordström, Jan
By organisation
Computational MathematicsThe Institute of Technology
In the same journal
Computers & Fluids
Computational Mathematics

Search outside of DiVA

GoogleGoogle Scholar
Total: 168 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 209 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf