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A Parallel Projection Method for the solution of Incompressible Navier-Stokes Equations based on Position-State Separation Method
KTH, School of Electrical Engineering (EES), Electromagnetic Engineering.ORCID iD: 0000-0001-5378-701X
KTH, School of Electrical Engineering (EES), Electromagnetic Engineering.ORCID iD: 0000-0002-6375-6142
2015 (English)Conference paper, Oral presentation only (Other academic)
Abstract [en]

A simple parallel numerical algorithm with P1/P1 velocity-pressure elements for solving the incompressible Navier-Stokes equations is proposed. In order to circumvent the Babuška-Brezzi condition (i.e. inf-sup condition), a velocity-pressure separation strategy following the idea of projection method is presented. Thus, the velocity and pressure terms are separated using operator-splitting, dividing the problem into two individual governing equations. The velocity equation is solved using an extension form of the position-state separation method (POSS), which has very good performance to solve convection-diffusion-reaction equations. The parallel computation of the method is easy to implement. Classical numerical experiments are conducted which show the efficiency, robustness and accuracy of the method.

Place, publisher, year, edition, pages
2015.
Keyword [en]
Projection method, Incompressible flows, Parallel computation
National Category
Computational Mathematics Fluid Mechanics and Acoustics
Research subject
Applied and Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-168197OAI: oai:DiVA.org:kth-168197DiVA: diva2:814669
Conference
27th International Conference on Parallel Computational Fluid Dynamics, May 17-20, Montreal, Canada
Funder
StandUp
Note

QC 20150812

Available from: 2015-05-27 Created: 2015-05-27 Last updated: 2015-08-12Bibliographically approved

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parCFD2015_Lipeng(810 kB)322 downloads
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CiteExportLink to record
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Citation style
  • apa
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