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Conference Papers Year : 2012

Particle method: an efficient tool for direct numerical simulations of a high Schmidt number passive scalar in turbulent flow

Abstract

In this work, an efficient way to predict the dynamics of a scalar at high Schmidt numbers, advected by a turbulent flow, is presented. For high Schmidt numbers, the spatial resolution required for the scalar field has to be finer than the resolution required for the velocity field, leading to a significant computational cost due to the Courant-Friedrichs-Lewy (CFL) constraint. We propose here a remeshed particle method coupled to a spectral flow solver to overcome this computational cost limitation. This allows us to perform a systematic analysis of flows over a wide range of Reynolds and Schmidt numbers. For high enough Reynolds and Schmidt numbers, the results presented here recover the spectral behavior predicted by theory. First, the classic k−5/3 law (where k is the wave number) is found for the inertial-convective range. At intermediate scales, the viscous-convective range exhibits a k−1 law for Schmidt numbers higher than unity. Finally, the numerical results indicate that the dissipation range agree well with the Kraichnan model for high Schmidt numbers.
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Dates and versions

hal-00748132 , version 1 (18-01-2013)

Identifiers

  • HAL Id : hal-00748132 , version 1

Cite

Jean-Baptiste Lagaert, Guillaume Balarac, Georges-Henri Cottet, Patrick Bégou. Particle method: an efficient tool for direct numerical simulations of a high Schmidt number passive scalar in turbulent flow. Summer Program 2012. Center of Turbulence Research, Jul 2012, Stanford, United States. pp.167-176. ⟨hal-00748132⟩
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