Domain decomposition approach for near-wall turbulence modeling

Sergey V. Utyuzhnikov

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Citation (Scopus)

Abstract

Turbulence modeling leads to a multiscale problem in which there is a very thin boundary layer that requires most computational time for its resolution. The paper addresses a novel approach based on non-overlapping domain decomposition. It allows us to avoid calculations of the region with high gradients in the vicinity of the wall while retaining sufficient overall accuracy. The technique is introduced in application to low-Reynolds number RANS models. The domain decomposition is achieved via the transfer of the boundary condition from the wall to an interface boundary. If the governing equations in the inner domain are simplified, then the interface boundary conditions are of Robin type. These boundary conditions can be obtained in an analytical form despite the fact that they are nonlinear. Possible ways to achieve a reasonable trade-off between efficiency and accuracy are discussed. The obtained interface boundary conditions are mesh-independent. They can be used to avoid computationally expensive resolution of a high-gradient region near the wall. Moreover, once the solution is constructed in the outer region, the near-wall profile can be restored if required. In two extreme cases, if the interface boundary is too close to the wall or too far from it, the so-constructed solution to the problem automatically corresponds to the low- and high-Reynolds number RANS models, respectively. Different applications are considered including unsteady problems and complex geometries. It is shown that in comparison to the low-Reynolds number models the near-wall domain decomposition approach allows the computational time to be reduced by one order of magnitude whilst practically retaining the accuracy. The developed approach proved to be quite robust and relatively universal. It does not contain any tuning parameters. The technique might be extended to other multiscale problems.

Original languageEnglish
Title of host publicationECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering
EditorsM. Papadrakakis, V. Plevris, G. Stefanou, V. Papadopoulos
PublisherNational Technical University of Athens
Pages7066-7073
Number of pages8
ISBN (Electronic)9786188284401
DOIs
Publication statusPublished - 2016
Externally publishedYes
Event7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016 - Crete, Greece
Duration: 5 Jun 201610 Jun 2016

Publication series

NameECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering
Volume4

Conference

Conference7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016
Country/TerritoryGreece
CityCrete
Period5/06/1610/06/16

Keywords

  • Domain decomposition
  • Near-wall turbulence modeling
  • Reynolds models
  • Wall functions

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