Adaptive filtering for the simulation of turbulent flows with lattice Boltzmann methods

P. Nathen, M. Haussmann, M. J. Krause, N. A. Adams

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


This paper presents an extension of a Large Eddy Simulation based approach in the framework of Lattice Boltzmann Methods. An extended filter technique is introduced based on selective viscosity filters. In contrast to previous approaches we omit adjusting parameters, a technique frequently used in literature to achieve good fit with turbulence benchmarks. Such parameters have to be adapted manually for different Reynolds numbers and grid resolutions. The new filter approach is based on a time dependent coupling between resolved scales and a phase averaged strain-rate. We demonstrate that our method is able to recover turbulent statistics of the Taylor–Green vortex benchmark, representing Homogeneous Isotropic Turbulence for varying mesh resolutions and Reynolds numbers. Beyond that, we show the applicability to wall-bounded turbulence represented by the turbulent channel flow at friction Reynolds numbers Reτ=180, Reτ=395 and Reτ=590. A spectral viscosity analysis is performed in order to demonstrate the methods ability to adapt the numerical dissipation according to the mesh resolution.

Original languageEnglish
Pages (from-to)510-523
Number of pages14
JournalComputers and Fluids
StatePublished - 30 Aug 2018


  • Homogeneous Isotropic Turbulence
  • Lattice Boltzmann
  • Turbulence
  • Turbulence modeling
  • Turbulent channel flow


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