Physics-Informed Neural Networks for Bingham Fluid Flow Simulation Coupled with an Augmented Lagrange Method

Physics-Informed Neural Networks for Bingham Fluid Flow Simulation Coupled with an Augmented Lagrange Method

As a class of non-Newtonian fluids with yield stresses, Bingham fluids possess both solid and liquid phases separated by implicitly defined non-physical yield surfaces, which makes the standard numerical discretization challenging. The variational reformulation established by Duvaut and Lions, coupl...

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Bibliographic Details
Main Author: Jianying Zhang
Format: Article
Language:English
Published: MDPI AG 2023-06-01
Series:AppliedMath
Subjects:
physics-informed neural network
augmented Lagrange method
Bingham fluid
Adam algorithm
Gauss–Newton method
variational form
Online Access:https://www.mdpi.com/2673-9909/3/3/28

Internet

https://www.mdpi.com/2673-9909/3/3/28

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