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A new high-order method for the accurate simulation of incompressible wall-bounded flows
KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW. KTH, School of Engineering Sciences (SCI), Mechanics.
KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW. KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0001-9627-5903
KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW. KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0002-9819-2906
KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW. KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0002-2711-4687
2015 (English)In: 9th International Conference on Direct and Large-Eddy Simulation, 2013, Springer Publishing Company, 2015, p. 133-138Conference paper, Published paper (Refereed)
Abstract [en]

A new high-order method for the accurate simulation of incompressible wall-bounded flows is presented. In stream- and spanwise direction the discretisation is performed by standard Fourier series, while in wall-normal direction the method combines high-order collocated compact finite differences with the influence matrix method to calculate the pressure boundary conditions that render the velocity field divergence-free. The main advantage over Chebyshev collocation is that in wall normal direction, the grid can be chosen freely and thus excessive clustering near the wall is avoided. Both explicit and implicit discretisations of the viscous terms are described, with the implicit method being more complex, but also having a wider range of applications. The method is validated by simulating fully turbulent channel flow at friction Reynolds number Reτ=395, and comparing our data with existing numerical results. The results show excellent agreement proving that the method simulates all physical processes correctly.

Place, publisher, year, edition, pages
Springer Publishing Company, 2015. p. 133-138
National Category
Mechanical Engineering
Identifiers
URN: urn:nbn:se:kth:diva-194710DOI: 10.1007/978-3-319-14448-1_18Scopus ID: 2-s2.0-84964892425ISBN: 9783319144474 (print)OAI: oai:DiVA.org:kth-194710DiVA, id: diva2:1048891
Conference
3 April 2013 through 5 April 2013
Note

QC 20161122

Available from: 2016-11-22 Created: 2016-10-31 Last updated: 2016-11-22Bibliographically approved

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Brethouwer, Gert

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