A decade of progress on anisotropic mesh adaptation for computational fluid dynamics

F Alauzet, A Loseille - Computer-Aided Design, 2016 - Elsevier
In the context of scientific computing, the mesh is used as a discrete support for the
considered numerical methods. As a consequence, the mesh greatly impacts the efficiency …

Continuous mesh framework part I: well-posed continuous interpolation error

A Loseille, F Alauzet - SIAM Journal on Numerical Analysis, 2011 - SIAM
In the context of mesh adaptation, Riemannian metric spaces have been used to prescribe
orientation, density, and stretching of anisotropic meshes. But, such structures are only …

Fully anisotropic goal-oriented mesh adaptation for 3D steady Euler equations

A Loseille, A Dervieux, F Alauzet - Journal of computational physics, 2010 - Elsevier
This paper studies the coupling between anisotropic mesh adaptation and goal-oriented
error estimate. The former is very well suited to the control of the interpolation error. It is …

Mesh adaptation for large‐eddy simulations in complex geometries

P Benard, G Balarac, V Moureau… - … journal for numerical …, 2016 - Wiley Online Library
Large‐eddy simulation (LES) consists in explicitly simulating the large scales of the fluid
motion and in modeling the influence of the smallest scales. Thanks to the steady growth of …

Size gradation control of anisotropic meshes

F Alauzet - Finite Elements in Analysis and Design, 2010 - Elsevier
This paper gives a status on anisotropic mesh gradation. We present two 3D anisotropic
formulations of mesh gradation. The metric at each point defines a well-graded smooth …

The moving discontinuous Galerkin finite element method with interface condition enforcement for compressible viscous flows

AD Kercher, A Corrigan… - International Journal for …, 2021 - Wiley Online Library
The moving discontinuous Galerkin finite element method with interface condition
enforcement is applied to the case of viscous flows. This method uses a weak formulation …

Time accurate anisotropic goal-oriented mesh adaptation for unsteady flows

A Belme, A Dervieux, F Alauzet - Journal of Computational Physics, 2012 - Elsevier
We present a new algorithm for combining an anisotropic goal-oriented error estimate with
the mesh adaptation fixed point method for unsteady problems. The minimization of the error …

Optimal 3D highly anisotropic mesh adaptation based on the continuous mesh framework

A Loseille, F Alauzet - Proceedings of the 18th International Meshing …, 2009 - Springer
This paper addresses classical issues that arise when applying anisotropic mesh adaptation
to real-life 3D problems as the loss of anisotropy or the necessity to truncate the minimal size …

Combined Reynolds-averaged Navier-Stokes/Large-Eddy Simulations for an aircraft wake until dissipation regime

Y Bouhafid, N Bonne, L Jacquin - Aerospace Science and Technology, 2024 - Elsevier
A new methodology has been devised to simulate the aerodynamic wake of an airliner
during cruise flight using Reynolds-averaged Navier-Stokes (RANS) and Large Eddy …

Unstructured mesh generation and adaptation

A Loseille - Handbook of Numerical Analysis, 2017 - Elsevier
We first describe the well-established unstructured mesh generation methods as involved in
the computational pipeline, from geometry definition to surface and volume mesh …