Analysis of wall-modelled particle/mesh PDF methods for turbulent parietal flows

Balvet Guilhem (), Minier Jean-Pierre (), Roustan Yelva () and Ferrand Martin ()
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Balvet Guilhem: EDF R&D, 6 Quai Watier, 78400 Chatou; CEREA, École des Ponts, EDF R&D, Île-de-France, France
Minier Jean-Pierre: EDF R&D, 6 Quai Watier, 78400 Chatou; CEREA, École des Ponts, EDF R&D, Île-de-France, France
Roustan Yelva: CEREA, École des Ponts, EDF R&D, Île-de-France, France
Ferrand Martin: EDF R&D, 6 Quai Watier, 78400 Chatou; CEREA, École des Ponts, EDF R&D, Île-de-France, France

Monte Carlo Methods and Applications, 2023, vol. 29, issue 4, 275-305

Abstract: Lagrangian stochastic methods are widely used to model turbulent flows. Scarce consideration has, however, been devoted to the treatment of the near-wall region and to the formulation of a proper wall-boundary condition. With respect to this issue, the main purpose of this paper is to present an in-depth analysis of such flows when relying on particle/mesh formulations of the probability density function (PDF) model. This is translated into three objectives. The first objective is to assess the existing an-elastic wall-boundary condition and present new validation results. The second objective is to analyse the impact of the interpolation of the mean fields at particle positions on their dynamics. The third objective is to investigate the spatial error affecting covariance estimators when they are extracted on coarse volumes. All these developments allow to ascertain that the key dynamical statistics of wall-bounded flows are properly captured even for coarse spatial resolutions.

Keywords: Interpolation scheme error; Lagrangian stochastic methods; particle/mesh methods; statistic estimation; wall-boundary condition (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1515/mcma-2023-2017

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