Reynolds stress anisotropy tensor predictions using neural networks
Abstract
Reynolds-averaged Navier-Stokes (RANS) based turbulence modeling is the most
widely-used approach for engineering interests due to its high cost-effectiveness. Even
though, despite researchers’ continued focus, the RANS approach still suffers from a
universal and reliable closure model for the Reynolds stress anisotropy tensor. In
recent years, advances in computing power have opened up a new way to tackle this
problem with the aid of machine learning techniques.
The main objective of the present paper is to fully predict the Reynolds stress
anisotropy tensor for both interpolation and extrapolation scenarios by employing
neural networks.
Several case studies are performed upon two different types of neural network
architectures: the Multi-Layer Perceptron (MLP) and the Tensor Basis Neural Network (TBNN)1
. Representative physical parameters characterizing the properties of turbulent flows are
carefully identified and pre-processed. Different input feature
combinations are respectively fed into the MLP to acquire a complete grasp of the
role of each parameter. A deeper theoretical insight is taken into the TBNN in order
to clarify some remaining ambiguities in the literature, concerning the application
of Pope’s general effective-viscosity hypothesis2.
The predictive capacity and the robustness of these two types of neural networks are compared. Excellent interpolation and extrapolation predictive capability of the Reynolds stress anisotropy tensor is
achieved upon our testing flow configuration. The results of an extrapolation test for
channel flow at Re$_\tau$ = 10, 000 are shown in Fig. 1 for illustration. A promising future
could be expected by integrating these neural networks into an in-house CFD code.
Origin | Files produced by the author(s) |
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