Weak baselines and reporting biases lead to overoptimism in machine learning for fluid-related partial differential equations

N McGreivy, A Hakim - Nature Machine Intelligence, 2024 - nature.com
One of the most promising applications of machine learning in computational physics is to
accelerate the solution of partial differential equations (PDEs). The key objective of machine …

[HTML][HTML] Machine Learning to speed up Computational Fluid Dynamics engineering simulations for built environments: A review

C Caron, P Lauret, A Bastide - Building and Environment, 2024 - Elsevier
Computational fluid dynamics (CFD) represents a valuable tool in the design process of built
environments, enhancing the comfort, health, energy efficiency, and safety of indoor and …

[HTML][HTML] Enhancing CFD solver with Machine Learning techniques

P Sousa, CV Rodrigues, A Afonso - Computer Methods in Applied …, 2024 - Elsevier
This study addresses the computational challenges in fluid flow simulations arising from
demanding computational grids, required to capture the temporal and length scales …

[HTML][HTML] Group theoretic thermal analysis on heat transfer coefficient (HTC) at thermally slip surface with tangent hyperbolic fluid: AI based decisions

KU Rehman, W Shatanawi, WG Alharbi - Case Studies in Thermal …, 2024 - Elsevier
By following the statistics, over the last few years, the use of Artificial Intelligence conjectured
with mathematical models has increased abundantly for physical problems having thermal …

Discovering optimal flapping wing kinematics using active deep learning

B Corban, M Bauerheim, T Jardin - Journal of Fluid Mechanics, 2023 - cambridge.org
This paper focuses on the discovery of optimal flapping wing kinematics using a deep
learning surrogate model for unsteady aerodynamics and multi-objective optimisation. First …

Invariant preservation in machine learned PDE solvers via error correction

N McGreivy, A Hakim - arXiv preprint arXiv:2303.16110, 2023 - arxiv.org
Machine learned partial differential equation (PDE) solvers trade the reliability of standard
numerical methods for potential gains in accuracy and/or speed. The only way for a solver to …

Deep learning surrogate for the temporal propagation and scattering of acoustic waves

A Alguacil, M Bauerheim, MC Jacob, S Moreau - AIAA Journal, 2022 - arc.aiaa.org
A deep learning surrogate for the direct numerical temporal prediction of two-dimensional
acoustic waves propagation and scattering with obstacles is developed through an …

A comparative study of learning techniques for the compressible aerodynamics over a transonic RAE2822 airfoil

G Catalani, D Costero, M Bauerheim, L Zampieri… - Computers & …, 2023 - Elsevier
In this study, the modeling of the compressible pressure field on the RAE 2822 airfoil using
deep learning (DL) is investigated. The objective is to generate, at low cost, the complete …

An implicit gnn solver for poisson-like problems

M Nastorg, MA Bucci, T Faney, JM Gratien… - … & Mathematics with …, 2024 - Elsevier
This paper presents Ψ-GNN, a novel Graph Neural Network (GNN) approach for solving the
ubiquitous Poisson PDE problems on general unstructured meshes with mixed boundary …

Linear and nonlinear flame response prediction of turbulent flames using neural network models

N Tathawadekar, A Ösün, AJ Eder… - … Journal of Spray …, 2024 - journals.sagepub.com
Modelling the flame response of turbulent flames via data-driven approaches is challenging
due, among others, to the presence of combustion noise. Neural network methods have …