Implicit turbulence modeling by finite volume methods

Stefan Hickel*, Antoine Devesa, Nikolaus A. Adams

*Corresponding author for this work

Research output: Chapter in Book/Conference proceedings/Edited volumeChapterScientificpeer-review


Turbulence modeling and the numerical discretization of the Navier- Stokes equations are strongly coupled in large-eddy simulations. The truncation error of common approximations for the convective terms can outweigh the effect of a physically sound subgrid-scale model. The subject of this thesis is the analysis and the control of local truncation errors in large-eddy simulations. We show that physical reasoning can be incorporated into the design of discretization schemes. Using systematic procedures, a nonlinear discretization method has been developed where numerical and turbulence-theoretical modeling are fully merged. The truncation error itself functions as an implicit turbulence model accurately representing the effects of unresolved scales. Various applications demonstrate the efficiency and reliability of the new method as well as the superiority of an holistic approach.

Original languageEnglish
Title of host publicationNumerical Simulation of Turbulent Flows and Noise Generation
Subtitle of host publicationResults of the DFG/CNRS Research Groups FOR 507 and FOR 508
EditorsChristophe Brun, Daniel Juve, Michael Manhart, Claus-Dieter Munz
Number of pages25
Publication statusPublished - 27 Mar 2009
Externally publishedYes

Publication series

NameNotes on Numerical Fluid Mechanics and Multidisciplinary Design
ISSN (Print)1612-2909


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