Deep reinforcement learning for adaptive mesh refinement

C Foucart, A Charous, PFJ Lermusiaux - Journal of Computational Physics, 2023 - Elsevier
Finite element discretizations of problems in computational physics often rely on adaptive
mesh refinement (AMR) to preferentially resolve regions containing important features …

Unstructured h-and hp-adaptive strategies for discontinuous Galerkin methods based on a posteriori error estimation for compressible flows

F Basile, JB Chapelier, M de la Llave Plata… - Computers & …, 2022 - Elsevier
In this paper, we present h-and hp-adaptive strategies suited for the discontinuous Galerkin
formulation of the compressible laminar and Reynolds-averaged Navier–Stokes equations …

Average-based mesh adaptation for hybrid RANS/LES simulation of complex flows

S Mozaffari, E Guilmineau, M Visonneau, J Wackers - Computers & Fluids, 2022 - Elsevier
Generating meshes with the right resolution is crucial for hybrid RANS/LES simulations of
high Reynolds number flow with complex physical phenomena and geometries. This makes …

A p-multigrid strategy with anisotropic p-adaptation based on truncation errors for high-order discontinuous Galerkin methods

AM Rueda-Ramírez, J Manzanero, E Ferrer… - Journal of …, 2019 - Elsevier
High-order discontinuous Galerkin methods have become a popular technique in
computational fluid dynamics because their accuracy increases spectrally in smooth …

An R-adaptive algorithm based on self-organizing maps for solving incompressible flows with high-order discontinuous Galerkin methods

W An, J Yu, H Lyu, X Liu - Computers & Fluids, 2024 - Elsevier
Mesh quality is critical for the numerical accuracy of CFD (Computational Fluid Dynamics).
Although various techniques have been developed to improve mesh applicability to complex …

h-adaptation for high-order discontinuous Galerkin schemes built on local multiwavelet analysis

JG Bautista, M de la Llave Plata, V Couaillier… - Computers & …, 2023 - Elsevier
We develop and analyze error estimators and mesh adaptation strategies within a
discontinuous Galerkin formulation. The basic idea of the study is to reduce the …

A face-area-weighted 'centroid'formula for finite-volume method that improves skewness and convergence on triangular grids

H Nishikawa - Journal of Computational Physics, 2020 - Elsevier
This paper proposes a face-area-weighted 'centroid'as a superior alternative to the
geometric centroid for defining a local origin in a cell-centered finite-volume method on …

Machine learning mesh-adaptation for laminar and turbulent flows: applications to high-order discontinuous Galerkin solvers

K Tlales, KE Otmani, G Ntoukas, G Rubio… - Engineering with …, 2024 - Springer
We present a machine learning-based mesh refinement technique for steady and unsteady
incompressible flows. The clustering technique proposed by Otmani et al.(Phys Fluids 35 …

p-adaptive discontinuous Galerkin method for the shallow water equations with a parameter-free error indicator

S Faghih-Naini, V Aizinger - GEM-International Journal on …, 2022 - Springer
We propose a p-adaptive quadrature-free discontinuous Galerkin method for the shallow
water equations based on a computationally efficient adaptivity indicator which works …

A p-adaptive Matrix-Free Discontinuous Galerkin Method for the Implicit LES of Incompressible Transitional Flows

F Bassi, L Botti, A Colombo, A Crivellini… - Flow, Turbulence and …, 2020 - Springer
Abstract In recent years Computational Fluid Dynamics (CFD) has become a widespread
practice in industry. The growing need to simulate off-design conditions, characterized by …