2 research outputs found
Gradient Information and Regularization for Gene Expression Programming to Develop Data-Driven Physics Closure Models
Learning accurate numerical constants when developing algebraic models is a
known challenge for evolutionary algorithms, such as Gene Expression
Programming (GEP). This paper introduces the concept of adaptive symbols to the
GEP framework by Weatheritt and Sandberg (2016) to develop advanced physics
closure models. Adaptive symbols utilize gradient information to learn locally
optimal numerical constants during model training, for which we investigate two
types of nonlinear optimization algorithms. The second contribution of this
work is implementing two regularization techniques to incentivize the
development of implementable and interpretable closure models. We apply
regularization to ensure small magnitude numerical constants and devise a novel
complexity metric that supports the development of low complexity models via
custom symbol complexities and multi-objective optimization. This extended
framework is employed to four use cases, namely rediscovering Sutherland's
viscosity law, developing laminar flame speed combustion models and training
two types of fluid dynamics turbulence models. The model prediction accuracy
and the convergence speed of training are improved significantly across all of
the more and less complex use cases, respectively. The two regularization
methods are essential for developing implementable closure models and we
demonstrate that the developed turbulence models substantially improve
simulations over state-of-the-art models
Transition Modeling for Low Pressure Turbines Using Computational Fluid Dynamics Driven Machine Learning
Existing Reynolds Averaged Navier–Stokes-based transition models do not accurately predict separation induced transition for low pressure turbines. Therefore, in this paper, a novel framework based on computational fluids dynamics (CFD) driven machine learning coupled with multi-expression and multi-objective optimization is explored to develop models which can improve the transition prediction for the T106A low pressure turbine at an isentropic exit Reynolds number of Re2is=100,000. Model formulations are proposed for the transfer and laminar eddy viscosity terms of the laminar kinetic energy transition model using seven non-dimensional pi groups. The multi-objective optimization approach makes use of cost functions based on the suction-side wall-shear stress and the pressure coefficient. A family of solutions is thus developed, whose performance is assessed using Pareto analysis and in terms of physical characteristics of separated-flow transition. Two models are found which bring the wall-shear stress profile in the separated region at least two times closer to the reference high-fidelity data than the baseline transition model. As these models are able to accurately predict the flow coming off the blade trailing edge, they are also able to significantly enhance the wake-mixing prediction over the baseline model. This is the first known study which makes use of ‘CFD-driven’ machine learning to enhance the transition prediction for a non-canonical flow