Application of machine learning to viscoplastic flow modeling
Numerical Analysis
2018-11-14 v1
Abstract
We present a method to construct reduced-order models for duct flows of Bingham media. Our method is based on proper orthogonal decomposition (POD) to find a low-dimensional approximation to the velocity and artificial neural network to approximate the coefficients of a given solution in the constructed POD basis. We use well-established augmented Lagrangian method and finite-element discretization in the "offline" stage. We show that the resulting approximation has a reasonable accuracy, but the evaluation of the approximate solution several orders of magnitude times faster.
Cite
@article{arxiv.1809.06914,
title = {Application of machine learning to viscoplastic flow modeling},
author = {E. Muravleva and I. Oseledets and D. Koroteev},
journal= {arXiv preprint arXiv:1809.06914},
year = {2018}
}