244 citations · 378 across the 15 of their papers we have counts for
15 papers
Is Chaotic Advection Inherent to Heterogeneous Darcy Flow?
Daniel R. Lester, Michael G. Trefry, Guy Metcalfe +1
At all scales, porous materials stir interstitial fluids as they are advected, leading to complex distributions of matter and energy. Of particular interest is whether porous media…
Linking Dispersion and Stirring in Randomly Braiding Flows
Daniel R. Lester, Michael G. Trefry, Guy Metcalfe
Many random flows, including 2D unsteady and stagnation-free 3D steady flows, exhibit non-trivial braiding of pathlines as they evolve in time or space. We show that these random f…
A Primer on the Dynamical Systems Approach to Transport in Porous Media
Guy Metcalfe, Daniel Lester, Michael Trefry
Historically, the dominant conceptual paradigm of porous media flow, solute mixing and transport was based on steady two-dimensional flows in heterogeneous porous media. Although i…
Lagrangian complexity persists with multimodal flow forcing in poroelastic systems
Michael Trefry, Daniel Lester, Guy Metcalfe +1
We extend previous analyses of the origins of complex transport dynamics in poroelastic media to the case where the input transient signal at a boundary is generated by a multimoda…
Global Organization of Three-Dimensional, Volume-Preserving Flows: Constraints, Degenerate Points, and Lagrangian Structure
Bharath Ravu, Guy Metcalfe, Murray Rudman +2
Global organization of 3-dimensional (3D) Lagrangian chaotic transport is difficult to infer without extensive computation. For 3D time-periodic flows with one invariant we show ho…
When Do Complex Transport Dynamics Arise in Natural Groundwater Systems?
J. Wu, D. R. Lester, M. G. Trefry +1
In a recent paper (Trefry et al., 2019) we showed that the interplay of aquifer heterogeneity and poroelasticity can produce complex transport in tidally forced aquifers, with sign…
Lagrangian transport and chaotic advection in three-dimensional laminar flows
Michel Speetjens, Guy Metcalfe, Murray Rudman
Transport and mixing of scalar quantities in fluid flows is ubiquitous in industry and Nature. Turbulent flows promote efficient transport and mixing by their inherent randomness.…
Natural Groundwater Systems Can Display Chaotic Mixing at the Darcy Scale
Michael Trefry, Daniel Lester, Guy Metcalfe +1
Although steady, isotropic Darcy flows are inherently laminar and non-mixing, it is well understood that transient forcing via engineered pumping schemes can induce rapid, chaotic…
Chaos and the Flow Capture Problem: Polluting is Easy, Cleaning is Hard
Lachlan D. Smith, Guy Metcalfe, Julio M. Ottino
Cleaning pollution from a heterogeneous flow environment is far from simple. We consider the flow capture problem, which has flows and sinks in a heterogeneous environment, and inv…
Localized shear generates three-dimensional transport
Lachlan D. Smith, Murray Rudman, Daniel R. Lester +1
Understanding the mechanisms that control three-dimensional (3D) fluid transport is central to many processes including mixing, chemical reaction and biological activity. Here a no…
Chaotic Advection at the Pore Scale: Mechanisms, Upscaling and Implications for Macroscopic Transport
D. R. Lester, M. G. Trefry, Guy Metcalfe
The macroscopic spreading and mixing of solute plumes in saturated porous media is ultimately controlled by processes operating at the pore scale. Whilst the conventional picture o…
Mixing of discontinuously deforming media
Lachlan D. Smith, Murray Rudman, Daniel R. Lester +1
Mixing of materials is fundamental to many natural phenomena and engineering applications. The presence of discontinuous deformations - such as shear banding or wall slip - creates…
Bifurcations and degenerate periodic points in a three dimensional chaotic fluid flow
Lachlan D. Smith, Murray Rudman, Daniel R. Lester +1
Analysis of the periodic points of a conservative periodic dynamical system uncovers the basic kinematic structure of the transport dynamics, and identifies regions of local stabil…
Kinematics of Clustering
Steven Wang, Robert L. Stewart, Guy Metcalfe +1
The dynamical system for inertial particles in fluid flow has both attracting and repelling regions, the interplay of which can localize particles. In laminar flow experiments we f…
Frontiers of chaotic advection
Hassan Aref, John R. Blake, Marko Budišić +20
This work reviews the present position of and surveys future perspectives in the physics of chaotic advection: the field that emerged three decades ago at the intersection of fluid…