Umeå University's logo

umu.sePublications
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
Topology optimization of unsteady flows using the spectral element method
FLOW Centre and Swedish e-Science Research Centre (SeRC), KTH Mechanics, Royal Institute of Technology, Stockholm, Sweden.
FLOW Centre and Swedish e-Science Research Centre (SeRC), KTH Mechanics, Royal Institute of Technology, Stockholm, Sweden.
Umeå University, Faculty of Science and Technology, Department of Computing Science. Department of Mathematics and Computer Science, Karlstad University, Karlstad, Sweden.ORCID iD: 0000-0001-8704-9584
Umeå University, Faculty of Science and Technology, Department of Computing Science.ORCID iD: 0000-0003-0473-3263
Show others and affiliations
2022 (English)In: Computers & Fluids, ISSN 0045-7930, E-ISSN 1879-0747, Vol. 239, article id 105387Article in journal (Refereed) Published
Abstract [en]

We investigate the applicability of a high-order Spectral Element Method (SEM) to density based topology optimization of unsteady flows in two dimensions. Direct Numerical Simulations (DNS) are conducted relying on Brinkman penalization to describe the presence of solid within the domain. The optimization procedure uses the adjoint-variable method to compute gradients and a checkpointing strategy to reduce storage requirements. A nonlinear filtering strategy is used to both enforce a minimum length scale and to provide smoothing across the fluid–solid interface, preventing Gibbs oscillations. This method has been successfully applied to the design of a channel bend and an oscillating pump, and demonstrates good agreement with body fitted meshes. The precise design of the pump is shown to depend on the initial material distribution. However, the underlying topology and pumping mechanism is the same. The effect of a minimum length scale has been studied, revealing it to be a necessary regularization constraint for the oscillating pump to produce meaningful designs. The combination of SEM and density based optimization offer some unique challenges which are addressed and discussed, namely a lack of explicit boundary tracking exacerbated by the interface smoothing. Nevertheless, SEM can achieve equivalent levels of precision to traditional finite element methods, while requiring fewer degrees of freedom. Hence, the use of SEM addresses the two major bottlenecks associated with optimizing unsteady flows: computation cost and data storage.

Place, publisher, year, edition, pages
Elsevier, 2022. Vol. 239, article id 105387
Keywords [en]
Direct numerical simulations, Length scale control, Non-linear filtering, Spectral element method, Topology optimization, Unsteady
National Category
Computational Mathematics Computer Sciences
Identifiers
URN: urn:nbn:se:umu:diva-193403DOI: 10.1016/j.compfluid.2022.105387ISI: 000793263500001Scopus ID: 2-s2.0-85126644608OAI: oai:DiVA.org:umu-193403DiVA, id: diva2:1648652
Funder
Swedish Research Council, 2019-04339eSSENCE - An eScience CollaborationAvailable from: 2022-03-31 Created: 2022-03-31 Last updated: 2023-09-05Bibliographically approved

Open Access in DiVA

fulltext(1802 kB)180 downloads
File information
File name FULLTEXT01.pdfFile size 1802 kBChecksum SHA-512
884cb115d81f1dffe8eddd58f4e5aeb16e8f12949b98d1bbb0d00be5eaefbe71363cef6e4488e78ef1de6296174846902d520fc58f431f9a901bdbad8ed25c5b
Type fulltextMimetype application/pdf

Other links

Publisher's full textScopus

Authority records

Wadbro, EddieBerggren, Martin

Search in DiVA

By author/editor
Wadbro, EddieBerggren, Martin
By organisation
Department of Computing Science
In the same journal
Computers & Fluids
Computational MathematicsComputer Sciences

Search outside of DiVA

GoogleGoogle Scholar
Total: 180 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: 233 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