Jacobian-free Newton–Krylov methods: a survey of approaches and applications

DA Knoll, DE Keyes - Journal of Computational Physics, 2004 - Elsevier
Jacobian-free Newton–Krylov (JFNK) methods are synergistic combinations of Newton-type
methods for superlinearly convergent solution of nonlinear equations and Krylov subspace …

Recent advances in applying deep reinforcement learning for flow control: Perspectives and future directions

C Vignon, J Rabault, R Vinuesa - Physics of fluids, 2023 - pubs.aip.org
Deep reinforcement learning (DRL) has been applied to a variety of problems during the
past decade and has provided effective control strategies in high-dimensional and non …

A point-cloud deep learning framework for prediction of fluid flow fields on irregular geometries

A Kashefi, D Rempe, LJ Guibas - Physics of Fluids, 2021 - pubs.aip.org
We present a novel deep learning framework for flow field predictions in irregular domains
when the solution is a function of the geometry of either the domain or objects inside the …

Accelerating deep reinforcement learning strategies of flow control through a multi-environment approach

J Rabault, A Kuhnle - Physics of Fluids, 2019 - pubs.aip.org
Deep Reinforcement Learning (DRL) has recently been proposed as a methodology to
discover complex active flow control strategies [Rabault et al.,“Artificial neural networks …

A Jacobian-free approximate Newton–Krylov startup strategy for RANS simulations

A Yildirim, GKW Kenway, CA Mader… - Journal of Computational …, 2019 - Elsevier
The favorable convergence rates of Newton–Krylov-based solution algorithms have
increased their popularity for computational fluid dynamics applications. Unfortunately, these …

10M-core scalable fully-implicit solver for nonhydrostatic atmospheric dynamics

C Yang, W Xue, H Fu, H You, X Wang… - SC'16: Proceedings …, 2016 - ieeexplore.ieee.org
An ultra-scalable fully-implicit solver is developed for stiff time-dependent problems arising
from the hyperbolic conservation laws in nonhydrostatic atmospheric dynamics. In the …

Parallelization strategies for computational fluid dynamics software: state of the art review

A Afzal, Z Ansari, AR Faizabadi, MK Ramis - Archives of Computational …, 2017 - Springer
Computational fluid dynamics (CFD) is one of the most emerging fields of fluid mechanics
used to analyze fluid flow situation. This analysis is based on simulations carried out on …

[PDF][PDF] Numerical simulation of weakly ionized hypersonic flow over reentry capsules

LC Scalabrin - 2007 - Citeseer
The aging of the Space Shuttle prompted significant research on possible designs for its
replacement through the years. For a long time it was believed that the replacement for this …

Newton-GMRES preconditioning for discontinuous Galerkin discretizations of the Navier–Stokes equations

PO Persson, J Peraire - SIAM Journal on Scientific Computing, 2008 - SIAM
We study preconditioners for the iterative solution of the linear systems arising in the implicit
time integration of the compressible Navier–Stokes equations. The spatial discretization is …

Aerodynamic optimization algorithm with integrated geometry parameterization and mesh movement

JE Hicken, DW Zingg - AIAA journal, 2010 - arc.aiaa.org
An efficient gradient-based algorithm for aerodynamic shape optimization is presented. The
algorithm consists of several components, including a novel integrated geometry …