Unsteadily manipulating internal flow barriers

DOI10.1017/jfm.2017.117zbMath1383.76101OpenAlexW2604898599MaRDI QIDQ5364660

Sanjeeva Balasuriya

Publication date: 28 September 2017

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/c288a8c25ca42dd94a819df9326c4f2de4385ddb

zbMATH Keywords

mixingnonlinear dynamical systemsflow control

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Viscous vortex flows (76D17) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items (2)

Global phase space structures in a model of passive descent ⋮ Controlling Trajectories Globally via Spatiotemporal Finite-Time Optimal Control

Uses Software

• LCS Tool

Cites Work

• Unnamed Item
• Unnamed Item
• Operator theoretic framework for optimal placement of sensors and actuators for control of nonequilibrium dynamics
• Local stable and unstable manifolds and their control in nonautonomous finite-time flows
• Lagrangian descriptors: a method for revealing phase space structures of general time dependent dynamical systems
• Mesochronic classification of trajectories in incompressible 3D vector fields over finite times
• Attraction-based computation of hyperbolic Lagrangian coherent structures
• A variational theory of hyperbolic Lagrangian coherent structures
• Almost-invariant sets and invariant manifolds - connecting probabilistic and geometric descriptions of coherent structures in flows
• Chaotic transport in dynamical systems
• Dichotomies in stability theory
• Lagrangian coherent structures and mixing in two-dimensional turbulence
• Geodesic theory of transport barriers in two-dimensional flows
• A set oriented definition of finite-time Lyapunov exponents and coherent sets
• An analytic framework for identifying finite-time coherent sets in time-dependent dynamical systems
• Absolute flux optimising curves of flows on a surface
• Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows
• Hyperbolic and elliptic transport barriers in three-dimensional unsteady flows
• Approximate Lagrangian controllability for the 2-D Euler equation. Application to the control of the shape of vortex patches
• Second-order sensitivity of parallel shear flows and optimal spanwise-periodic flow modifications
• Controlling the Unsteady Analogue of Saddle Stagnation Points
• Optimal stirring strategies for passive scalar mixing
• Differential Geometry Perspective of Shape Coherence and Curvature Evolution by Finite-Time Nonhyperbolic Splitting
• Defining coherent vortices objectively from the vorticity
• Barriers and Transport in Unsteady Flows
• Optimal control of mixing in Stokes fluid flows
• Quantifying transport within a two-cell microdroplet induced by circular and sharp channel bends
• Wall to wall optimal transport
• An analytical study of transport, mixing and chaos in an unsteady vortical flow
• Controlling chaos
• Melnikov theory for finite-time vector fields
• A rough-and-ready cluster-based approach for extracting finite-time coherent sets from sparse and incomplete trajectory data
• Finite-time braiding exponents
• Refining finite-time Lyapunov exponent ridges and the challenges of classifying them
• An autonomous dynamical system captures all LCSs in three-dimensional unsteady flows
• Prescribing the Motion of a Set of Particles in a Three-Dimensional Perfect Fluid
• On coherent structure in wall turbulence
• Explicit invariant manifolds and specialised trajectories in a class of unsteady flows
• Transport in time-dependent dynamical systems: Finite-time coherent sets
• Almost-Invariant and Finite-Time Coherent Sets: Directionality, Duration, and Diffusion
• Hyperbolic neighbourhoods as organizers of finite-time exponential stretching
• Coherent structure colouring: identification of coherent structures from sparse data using graph theory
• A Tangential Displacement Theory for Locating Perturbed Saddles and Their Manifolds
• Geometry of unsteady fluid transport during fluid–structure interactions
• Feasibility, efficiency and transportability of short-horizon optimal mixing protocols
• PASSIVE AND ACTIVE FLOW CONTROL BY SWIMMING FISHES AND MAMMALS
• On finite amplitude oscillations in laminar mixing layers

This page was built for publication: Unsteadily manipulating internal flow barriers