Turbulent flow simulation using autoregressive conditional diffusion models

G Kohl, LW Chen, N Thuerey - arxiv preprint arxiv:2309.01745, 2023 - arxiv.org
Simulating turbulent flows is crucial for a wide range of applications, and machine learning-
based solvers are gaining increasing relevance. However, achieving stability when …

A meta-model to predict the drag coefficient of a particle translating in viscoelastic fluids: a machine learning approach

SA Faroughi, AI Roriz, C Fernandes - Polymers, 2022 - mdpi.com
This study presents a framework based on Machine Learning (ML) models to predict the
drag coefficient of a spherical particle translating in viscoelastic fluids. For the purpose of …

Combining federated learning and control: A survey

J Weber, M Gurtner, A Lobe… - IET Control Theory & …, 2024 - Wiley Online Library
This survey provides an overview of combining federated learning (FL) and control to
enhance adaptability, scalability, generalization, and privacy in (nonlinear) control …

Unsteady reduced order model with neural networks and flight-physics-based regularization for aerodynamic applications

MD Ribeiro, M Stradtner, P Bekemeyer - Computers & Fluids, 2023 - Elsevier
Numerical simulation of unsteady fluid flow plays an important role in several areas of the
aeronautical industry. Since high-fidelity computational fluid dynamics simulations could be …

Modelling membrane curvature generation using mechanics and machine learning

SA Malingen, P Rangamani - Journal of the Royal …, 2022 - royalsocietypublishing.org
The deformation of cellular membranes regulates trafficking processes, such as exocytosis
and endocytosis. Classically, the Helfrich continuum model is used to characterize the forces …

A PINN-based level-set formulation for reconstruction of bubble dynamics

RM Silva, M Grave, ALGA Coutinho - Archive of Applied Mechanics, 2024 - Springer
Solving problems in fluid mechanics plays an essential role in science and engineering,
especially when it comes to optimal design, reconstruction of biomedical and geophysical …

Bayesian Reasoning for Physics Informed Neural Networks

KM Graczyk, K Witkowski - arxiv preprint arxiv:2308.13222, 2023 - arxiv.org
Physics informed neural network (PINN) approach in Bayesian formulation is presented. We
adopt the Bayesian neural network framework formulated by MacKay (Neural Computation 4 …

Integrating Physics-Informed Deep Learning and Numerical Methods for Robust Dynamics Discovery and Parameter Estimation

C Ho, A Arnold - arxiv preprint arxiv:2410.04299, 2024 - arxiv.org
Incorporating a priori physics knowledge into machine learning leads to more robust and
interpretable algorithms. In this work, we combine deep learning techniques and classic …

Finding the Underlying Viscoelastic Constitutive Equation via Universal Differential Equations and Differentiable Physics

EC Rodrigues, RL Thompson, DAB Oliveira… - arxiv preprint arxiv …, 2024 - arxiv.org
This research employs Universal Differential Equations (UDEs) alongside differentiable
physics to model viscoelastic fluids, merging conventional differential equations, neural …

Graph Spring Neural ODEs for Link Sign Prediction

A Rehmann, A Bovet - arxiv preprint arxiv:2412.12916, 2024 - arxiv.org
Signed graphs allow for encoding positive and negative relations between nodes and are
used to model various online activities. Node representation learning for signed graphs is a …