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Building Proper Invariants for Eddy-Viscosity Models

  • F. X. Trias
  • A. Gorobets
  • A. Oliva
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 165)

Abstract

Direct numerical simulations of the incompressible Navier-Stokes equations are limited to relatively low-Reynolds numbers. Therefore, dynamically less complex mathematical formulations are necessary for coarse-grain simulations. Regularization and eddy-viscosity models for LES are examples thereof. They rely on differential operators that should capture well different flow configurations (laminar and 2D flows, near-wall behavior, transitional regime ...). Most of them are based on the combination of invariants of a symmetric second-order tensor that is derived from the gradient of the resolved velocity field. In the present work, they are presented in a framework where the models are represented as a combination of elements of a 5D phase space of invariants. In this way, new models can be constructed by imposing appropriate restrictions in this space.

Notes

Acknowledgments

This work has been financially supported by the Ministerio de Economía y Competitividad, Spain (ENE2014-60577-R) and a Ramón y Cajal postdoctoral contract (RYC-2012-11996). Calculations have been performed on the IBM MareNostrum supercomputer at the Barcelona Supercomputing Center. The authors thankfully acknowledge these institutions.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Heat and Mass Transfer Technological CenterTechnical University of Catalonia ETSEIATTerrassaSpain
  2. 2.Keldysh Institute of Applied MathematicsMoscowRussia

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