articleJournal of Fluid MechanicsOct 18, 2016GREEN OA

Reynolds averaged turbulence modelling using deep neural networks with embedded invariance

Sandia National Laboratories California · The University of Texas at Austin

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Abstract

There exists significant demand for improved Reynolds-averaged Navier–Stokes (RANS) turbulence models that are informed by and can represent a richer set of turbulence physics. This paper presents a method of using deep neural networks to learn a model for the Reynolds stress anisotropy tensor from high-fidelity simulation data. A novel neural network architecture is proposed which uses a multiplicative layer with an invariant tensor basis to embed Galilean invariance into the predicted anisotropy tensor. It is demonstrated that this neural network architecture provides improved prediction accuracy compared with a generic neural network architecture that does not embed this invariance property. The Reynolds…

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Topics & keywords

Keywords
  • Reynolds-averaged Navier–Stokes equations
  • Turbulence modeling
  • Reynolds stress
  • Turbulence
  • Reynolds stress equation model
  • Artificial neural network
  • Invariant (physics)
  • K-epsilon turbulence model
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