On optimal simplicial 3d meshes for minimizing the hessian-based errors

Y Mesri, M Khalloufi, E Hachem - Applied Numerical Mathematics, 2016 - Elsevier
In this paper we derive a multi-dimensional mesh adaptation method which produces
optimal meshes for quadratic functions, positive semi-definite. The method generates …

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 boundary layer mesh generation for immersed complex geometries

L Billon, Y Mesri, E Hachem - Engineering with Computers, 2017 - Springer
This paper proposes a new method to build boundary layer meshes over an immersed
complex geometry. It allows to generate an anisotropic semi-structured mesh with a smooth …

[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 …

Numerical methods and mesh adaptation for reliable RANS simulations

V Menier - 2015 - theses.hal.science
This thesis deals with the high-fidelity prediction of viscous turbulent flows modelized by the
Reynolds-Averaged Navier-Stokes (RANS) equations. If mesh adaptation has been …

Simulating fractured reservoirs using multiple meshes

ML Brewer, SB Ward, D Camilleri… - US Patent 10,529,131, 2020 - Google Patents
The disclosed embodiments include a method, apparatus, and computer program product
for generating multiple correlated meshes around complex and discrete fractures for the …

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 …

A 'R-to-H'Mesh Adaptation Approach for Moving Immersed Complex Geometries Using Parallel Computers

W Daldoul, E Hachem, Y Mesri - International Journal of …, 2020 - Taylor & Francis
In this work, we propose an efficient 'r-to-h'adaptation algorithm for moving boundary
problems using only vertex displacements and some local h-adaptation operations. Moving …

Semianalytical analysis of shear walls with the use of discrete-continual finite element method. Part 2: Numerical examples, future development

P Akimov, M Aslami… - MATEC Web of …, 2016 - matec-conferences.org
The distinctive paper is devoted to the two-dimensional semi-analytical solution of boundary
problems of analysis of shear walls with the use of discrete-continual finite element method …

A meshless geometric multigrid method for a grid with a high aspect ratio

ST Ha, HG Choi, SJ Do, HY Yoon - Journal of Mechanical Science and …, 2022 - Springer
In this paper, a new semi-coarsening method is proposed by extending the meshless
geometric multigrid method based on full-coarsening for an anisotropic unstructured mesh …