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A Lagrangian Mixed Subgrid-Scale Model in Generalized Coordinates

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Abstract

This paper presents the formulation of a mixed dynamic subgrid-scale model in non-Cartesian geometries suitable for the study of complex flows. Following the approach developed by Jordan [J. Comput. Phys. 148, 322 (1999)], the variables are first transformed into a contravariant form and then filtered in the computational space. A dynamic localized mixed model, previously developed within the Cartesian framework has been entirely re-formulated for non-orthogonal meshes. The model performance was evaluated by carrying out two tests. First, a plane channel flow at Reτ = 395 was simulated using both Cartesian and curvilinear grids; the results show that the model formulation is consistent and insensitive to grid distortion, and compares well with the reference data. Then, computations of the turbulent flow over a two-dimensional channel with a wavy wall were performed. Accurate first- and second-order statistics were obtained using relatively coarse grids.

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Authors and Affiliations

  1. Dipartimento di Ingegneria Civile, Università degli Studi di Trieste, Piazzale Europa 1, 34127, Trieste, Italy

    Vincenzo Armenio

  2. Department of Mechanical Engineering, University of Maryland, College Park, MD, 20742-3035, U.S.A.

    Ugo Piomelli

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  1. Vincenzo Armenio
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Armenio, V., Piomelli, U. A Lagrangian Mixed Subgrid-Scale Model in Generalized Coordinates. Flow, Turbulence and Combustion 65, 51–81 (2000). https://doi.org/10.1023/A:1009998919233

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