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Pré-Publication, Document De Travail Année : 2023

An Elliptic Blending explicit algebraic Reynolds-stress model for wall-bounded flows

Résumé

A new explicit algebraic Reynolds stress model is derived based on the elliptic blending strategy to account for near-wall blocking effects. The resulting model inherits some of the most important features of the underlying elliptic blending Reynolds stress model, especially the two-component limit of turbulence, but involves only one elliptic equation for the blending coefficient in addition to the standard two-equation k-ε model which serves here as a platform for the model. The algebraic relationship is developed following a direct solution method for two-and three-dimensional mean flows rather than using a projection over a truncated integrity basis. The resulting algebraic relation remains formally similar to standard expressions based on a linear pressure-strain model with the addition of a tensor related to wall orientation. An analytical solution of the nonlinear consistency equation for the production to dissipation ratio is provided for two-dimensional cases that serves as an initial guess to an iterative approach depending on the flow situation. The computations carried out on fully developed turbulent flows to validate the algebraic model demonstrate the good model performances and confirm the effectiveness of the iterative approach to reach self consistency.
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Dates et versions

irsn-03958398 , version 1 (26-01-2023)

Identifiants

  • HAL Id : irsn-03958398 , version 1

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Fabien Duval, Christophe Friess. An Elliptic Blending explicit algebraic Reynolds-stress model for wall-bounded flows. 2023. ⟨irsn-03958398⟩
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