Hyperbolicity, shadowing directions and sensitivity analysis of a turbulent three-dimensional flow
type: Item
instance of: scholarly article
title: Hyperbolicity, shadowing directions and sensitivity analysis of a turbulent three-dimensional flow
zbMATH Open document ID: 1415.76298
author: Angxiu Ni
published in: Journal of Fluid Mechanics
publication date: 2019-02-26T00:00:00Z
full work available at URL: https://arxiv.org/abs/1711.06626
Mathematics Subject Classification ID: 76F20
Mathematics Subject Classification ID: 76F65
zbMATH DE Number: 7029595
zbMATH Keywords: chaos
zbMATH Keywords: chaotic advection
zbMATH Keywords: wakes
MaRDI profile type: Publication
OpenAlex ID: W2901220868
arXiv ID: 1711.06626
cites work: Structural stability and hyperbolicity violation in high-dimensional dynamical systems
cites work: Computation of sensitivity of periodically excited dynamical systems
cites work: An optimal control approach to a posteriori error estimation in finite element methods
cites work: Adjoint sensitivity analysis of chaotic dynamical systems with non-intrusive least squares shadowing
cites work: Markov Partitions for Axiom A Diffeomorphisms
cites work: Optimal prediction with memory
cites work: Boundary conditions for direct computation of aerodynamic sound generation
cites work: Lyapunov spectrum of the separated flow around the NACA 0012 airfoil and its dependence on numerical discretization
cites work: The Lyapunov dimension of strange attractors
cites work: Entropy, thermostats, and chaotic hypothesis
cites work: Dynamical ensembles in stationary states.
cites work: Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality
cites work: Covariant Lyapunov vectors
cites work: Aerodynamic design via control theory
cites work: Q3123960
cites work: The dimension of attractors underlying periodic turbulent Poiseuille flow
cites work: Direct numerical simulation of flow past elliptic cylinders
cites work: Sensitivity analysis on chaotic dynamical systems by non-intrusive least squares shadowing (NILSS)
cites work: Sensitivity analysis on chaotic dynamical systems by finite difference non-intrusive least squares shadowing (FD-NILSS)
cites work: Q5646734
cites work: A dynamic subgrid scale model for large eddy simulations based on the Mori-Zwanzig formalism
cites work: Shadowing in structurally stable flows
cites work: Shadowing in dynamical systems
cites work: Boundary conditions for direct simulations of compressible viscous flows
cites work: Q3929268
cites work: Differentiation of SRB states
cites work: Differentiation of SRB states for hyperbolic flows
cites work: Convergence of the Least Squares Shadowing Method for Computing Derivative of Ergodic Averages
cites work: Least squares shadowing sensitivity analysis of chaotic limit cycle oscillations
cites work: What are SRB measures, and which dynamical systems have them?
DOI: 10.1017/JFM.2018.986
description: scientific article; zbMATH DE number 7029595