Mathematical modelling and computational reduction of molten glass fluid flow in a furnace melting basin

• Published in: Computational & applied mathematics Vol. 43; no. 7
• Main Authors: Ballarin, Francesco, Delgado Ávila, Enrique, Mola, Andrea, Rozza, Gianluigi
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.10.2024; Elsevier
• Subjects: Applications of Mathematics; Computational Mathematics and Numerical Analysis; Mathematical Applications in Computer Science; Mathematical Applications in the Physical Sciences; Mathematics; Mathematics and Statistics; Finite element method; Molten glass flow; Proper orthogonal decomposition; Artificial neural networks
• ISSN: 2238-3603; 0377-0427; 1807-0302
• DOI: 10.1007/s40314-024-02921-1

In this work, we present the modelling and numerical simulation of a molten glass fluid flow in a furnace melting basin. We first derive a model for a molten glass fluid flow and present numerical simulations based on the finite element method (FEM). We further discuss and validate the results obtained from the simulations by comparing them with experimental results. Finally, we also present a non-intrusive proper orthogonal decomposition (POD) based on artificial neural networks (ANN) to efficiently handle scenarios which require multiple simulations of the fluid flow upon changing parameters of relevant industrial interest. This approach lets us obtain solutions of a complex 3D model, with good accuracy with respect to the FEM solution, yet with negligible associated computational times.