Machine-Learning-Based Reduced Order Modeling for Operational Analysis of Industrial Glass Melting Furnaces Using CFD Solutions

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Computational Fluid Dynamics (CFD) models play a vital role in the design of industrial glass melting furnaces, offering insights into energy consumption, glass quality, temperature distribution, and refractory wear. However, the considerable computational expense associated with the large time and length scales involved in the glass melting process prevents practical utilization of those models in daily operation of the furnaces. This study presents a novel approach to address this challenge through the development of a machine-learning-based Reduced-Order Model (ROM) utilizing parametric data obtained from a CFD model of a glass melting tank of a furnace. Key operational parameters, namely pull rate, heat flux from combustion space, and electrical potential difference to supply electrical power, are chosen to create a CFD solution dataset, as they change the boundary conditions of the CFD model and, consequently, the field solution data. An autoencoder structure incorporating convolutional neural networks is established to learn and predict temperature and velocity field data. Then, the decoder section of the autoencoder is connected to the operational parameters through an auxiliary neural network. The performance of the reduced-order model is assessed for both interpolation and extrapolation using additional CFD solutions. Comparison between the field data generated by the ROM and the ground-truth CFD solutions indicates less than 1\% deviation, proving that the ROM’s capability to serve as an effective analysis tool for daily furnace operation. Furthermore, the ROM demonstrates significant advancements in solution time, up to third order, further enhancing its practical utility.

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Inferring Functional Properties from Fluid Dynamics Features
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In a wide range of applied problems involving fluid flows, Computational Fluid Dynamics (CFD) provides detailed quantitative information on the flow field, at variable level of fidelity and computational cost. However, CFD alone cannot predict high-level functional properties that are not easily obtained from the equations of fluid motion. In this work, we present a data-driven framework to extract these additional information, such as medical diagnostic output, from CFD solutions. This is a challenging task because of the huge data dimensionality of CFD, and the limited training data that can be typically gathered due to the large computational cost of CFD. By pursuing a traditional Machine Learning (ML) pipeline of pre-processing, feature extraction, and model training, we demonstrate that informative features can be extracted from CFD data. Two experiments, pertaining to different application domains, support our claim that the convective properties implicit into a CFD solution can be leveraged to retrieve functional information that does not admit an analytical definition. Despite the preliminary nature of our study and the relative simplicity of both the geometrical and CFD models, for the first time we demonstrate that the combination of ML and CFD can diagnose a complex system in terms of high-level functional properties.

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