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Article Dans Une Revue Computers and Fluids Année : 2023

Lagrangian stochastic model for the orientation of inertialess non spherical particles in turbulent flows: an efficient numerical method for CFD approach

Résumé

In this work, we propose a model for the orientation of non-spherical particles arising in multi-phase turbulence flow. This model addresses the macroscopic scale in use in CFD codes enabling turbulence models for the fluid phase. It consists in a stochastic version of the Jeffery equation that can be incorporated in a statistical Lagrangian description of the particles suspended in the flow. For use in this context, we propose and analyse a numerical scheme based on the well-known splitting scheme algorithm decoupling the orientation dynamics into their main contributions: stretching and rotation. We detail the implementation in an open-source CFD software. We analyse the weak and strong convergence both of the global scheme and of their sub-parts. Subsequently, the splitting technique yields to a highly efficient hybrid algorithm coupling pure probabilistic and deterministic numerical schemes. Various experiments were implemented and compared with analytic predictions of the model to test the scheme for use in a CFD code.

Dates et versions

hal-03862286 , version 1 (21-11-2022)

Identifiants

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Lorenzo Campana, Mireille Bossy, Christophe Henry. Lagrangian stochastic model for the orientation of inertialess non spherical particles in turbulent flows: an efficient numerical method for CFD approach. Computers and Fluids, 2023, 257, pp.105870. ⟨10.1016/j.compfluid.2023.105870⟩. ⟨hal-03862286⟩
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