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Towards a parameter-free method for high Reynolds number turbulent flow simulation based on adaptive finite element approximation
KTH, School of Computer Science and Communication (CSC), High Performance Computing and Visualization (HPCViz). Basque Ctr Appl Math, Spain. (Computational Technology Laboratory)ORCID iD: 0000-0003-4256-0463
KTH, School of Computer Science and Communication (CSC), High Performance Computing and Visualization (HPCViz). Basque Ctr Appl Math, Spain.ORCID iD: 0000-0002-1695-8809
RIKEN Advanced Institute for Computational Science, Kobe, Japan.ORCID iD: 0000-0002-5020-1631
KTH, School of Computer Science and Communication (CSC), High Performance Computing and Visualization (HPCViz).
2015 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 288, 60-74 p.Article in journal (Refereed) Published
Abstract [en]

We present work towards a parameter-free method for turbulent flow simulation based on adaptive finite element approximation of the Navier-Stokes equations at high Reynolds numbers. In this model, viscous dissipation is assumed to be dominated by turbulent dissipation proportional to the residual of the equations, and skin friction at solid walls is assumed to be negligible compared to inertial effects. The result is a computational model without empirical data, where the only parameter is the local size of the finite element mesh. Under adaptive refinement of the mesh based on a posteriori error estimation, output quantities of interest in the form of functionals of the finite element solution converge to become independent of the mesh resolution, and thus the resulting method has no adjustable parameters. No ad hoc design of the mesh is needed, instead the mesh is optimised based on solution features, in particular no bounder layer mesh is needed. We connect the computational method to the mathematical concept of a dissipative weak solution of the Euler equations, as a model of high Reynolds number turbulent flow, and we highlight a number of benchmark problems for which the method is validated. 

Place, publisher, year, edition, pages
Elsevier, 2015. Vol. 288, 60-74 p.
Keyword [en]
finite element method, adaptive mesh refinement, turbulent
National Category
Computational Mathematics
Research subject
Applied and Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-143878DOI: 10.1016/j.cma.2014.12.004ISI: 000352081900005Scopus ID: 2-s2.0-84920828659OAI: oai:DiVA.org:kth-143878DiVA: diva2:709363
Funder
Swedish Foundation for Strategic Research EU, European Research Council, 202984Swedish Research Council, 90032202
Note

QC 20140708

Available from: 2014-04-01 Created: 2014-04-01 Last updated: 2017-12-05Bibliographically approved

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Hoffman, JohanJansson, Niclas

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