Kinetic equations and level-set approach for simulating solid-state microstructure evolutions at the mesoscopic scale: State of the art, limitations, and prospects

M Bernacki - Progress in Materials Science, 2024 - Elsevier
For over three decades, the front-capturing level-set method has demonstrated its prowess
for the simulation, at the mesoscopic scale, of numerous mechanisms in the context of …

Hessian with mini-batches for electrical demand prediction

I Elias, JJ Rubio, DR Cruz, G Ochoa, JF Novoa… - Applied Sciences, 2020 - mdpi.com
The steepest descent method is frequently used for neural network tuning. Mini-batches are
commonly used to get better tuning of the steepest descent in the neural network …

Adaptive Eulerian framework for boiling and evaporation

M Khalloufi, R Valette, E Hachem - Journal of Computational Physics, 2020 - Elsevier
We propose in this work an adaptive Eulerian framework for the simulation of both boiling
and evaporation phenomena occurring at the interface of a heated 3D solid immersed in a …

[HTML][HTML] Adaptive stopping criterion of iterative solvers for efficient computational cost reduction: Application to Navier–Stokes with thermal coupling

G Medghoul, G Manzinali, E Hachem… - Finite Elements in Analysis …, 2024 - Elsevier
In this article, a strategy for efficient computational cost reduction of numerical simulations for
complex industrial applications is developed and evaluated on multiphysics problems. The …

Variational Multiscale error estimator for anisotropic adaptive fluid mechanic simulations: application to convection–diffusion problems

A Bazile, E Hachem, JC Larroya-Huguet… - Computer Methods in …, 2018 - Elsevier
In this work, we present a new a posteriori error estimator based on the Variational
Multiscale method for anisotropic adaptive fluid mechanics problems. The general idea is to …

Anisotropic adaptive stabilized finite element solver for RANS models

J Sari, F Cremonesi, M Khalloufi… - … Methods in Fluids, 2018 - Wiley Online Library
Aerodynamic characteristics of various geometries are predicted using a finite element
formulation coupled with several numerical techniques to ensure stability and accuracy of …

High-performance 3D unstructured mesh deformation using rank structured matrix computations

R Alomairy, W Bader, H Ltaief, Y Mesri… - ACM Transactions on …, 2022 - dl.acm.org
The Radial Basis Function (RBF) technique is an interpolation method that produces high-
quality unstructured adaptive meshes. However, the RBF-based boundary problem …

[HTML][HTML] Graph Neural Networks for Mesh Generation and Adaptation in Structural and Fluid Mechanics

U Pelissier, A Parret-Fréaud, F Bordeu, Y Mesri - Mathematics, 2024 - mdpi.com
The finite element discretization of computational physics problems frequently involves the
manual generation of an initial mesh and the application of adaptive mesh refinement …

High-performance computing: Dos and don'ts

G Houzeaux, R Borrell, Y Fournier… - … and Applications in …, 2018 - books.google.com
Computational fluid dynamics (CFD) is the main field of computational mechanics that has
historically benefited from advances in high-performance computing. Highperformance …

Parallel and adaptive VMS finite elements formulation for aerothermal problems

Y Mesri, A Bazile, JC Larroya-Huguet, E Hachem - Computers & Fluids, 2018 - Elsevier
In this work, we develop a new mesh adaptation technique to solve the thermal problem of
the impingement jet cooling. To do so, we start by proposing a subscales error estimator …