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

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