A multiple-resolution strategy for Direct Numerical Simulation of scalar turbulence

R. Ostilla-Monico*, Yantao Yang, E.P. van der Poel, D. Lohse, R. Verzicco

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

73 Citations (Scopus)
30 Downloads (Pure)


In this paper a numerical procedure to simulate low diffusivity scalar turbulence is presented. The method consists of using a grid for the advected scalar with a higher spatial resolutionthan that of the momentum. The latter usually requires a less refined mesh and integrating both fields on a single grid tailored to the most demanding variableproduces an unnecessary computational overhead. A multiple resolution approach is used also in the time integration in order to maintain the stability of the scalars on the finer grid. The method is the more advantageous the less diffusive the scalar is with respect to momentum, therefore it is particularly well suited for large Prandtl or Schmidt number flows. However, even in the case of equal diffusivities the present procedure gives CPU time and memory occupation savings, due to the increased gradients and more intermittent behaviour of the scalars when compared to momentum.
Original languageEnglish
Pages (from-to)308-321
Number of pages14
JournalJournal of computational physics
Publication statusPublished - 28 Aug 2015


  • Multiple resolution
  • Direct numerical simulation
  • Scalar turbulence
  • 2023 OA procedure


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