output
20132021
most citedA Critical Comparison of Lagrangian Methods for Coherent Structure Detection

221 citations

39 papers

cond-mat.soft2021★ 26 cited

Enhancing condensation on soft substrates through bulk lubricant infusion

Chander Shekhar Sharma, Athanasios Milionis, Abhinav Naga +9

Soft substrates such as polydimethylsiloxane (PDMS) enhance droplet nucleation during the condensation of water vapour, because their deformability inherently reduces the energetic…

nlin.CD2020★ 8 cited

Universal Upper Estimate for Prediction Errors under Moderate Model Uncertainty

Bálint Kaszás, George Haller

We derive universal upper estimates for model-prediction error under moderate but otherwise unknown model uncertainty. Our estimates give upper bounds on the leading order trajecto…

math.DS2020★ 8 cited

Stability of Forced-Damped Response in Mechanical Systems from a Melnikov Analysis

Mattia Cenedese, George Haller

Frequency responses of multi-degree-of-freedom mechanical systems with weak forcing and damping can be studied as perturbations from their conservative limit. Specifically, recent…

physics.flu-dyn2020★ 26 cited

Objective barriers to the transport of dynamically active vector fields

George Haller, Stergios Katsanoulis, Markus Holzner +2

We derive a theory for material surfaces that maximally inhibit the diffusive transport of a dynamically active vector field, such as the linear momentum, the angular momentum or t…

physics.flu-dyn2020★ 32 cited

Connecting the time evolution of the turbulence interface to coherent structures

M. M. Neamtu-Halic, D. Krug, J. P. Mollicone +3

The surface area of turbulent/non-turbulent interfaces (TNTIs) is continuously produced and destroyed via stretching and curvature/propagation effects. Here, the mechanisms respons…

physics.ao-ph2019★ 71 cited

Confronting Grand Challenges in Environmental Fluid Mechanics

T. Dauxois, T. Peacock, P. Bauer +10

Environmental fluid mechanics underlies a wealth of natural, industrial and, by extension, societal challenges. In the coming decades, as we strive towards a more sustainable plane…

physics.ao-ph2019★ 75 cited

Search and rescue at sea aided by hidden flow structures

Mattia Serra, Pratik Sathe, Irina Rypina +6

Every year hundreds of people die at sea because of vessel and airplane accidents. A key challenge in reducing the number of these fatalities is to make Search and Rescue (SAR) alg…

cs.RO2019★ 76 cited

Ground truth force distribution for learning-based tactile sensing: a finite element approach

Carmelo Sferrazza, Adam Wahlsten, Camill Trueeb +1

Skin-like tactile sensors provide robots with rich feedback related to the force distribution applied to their soft surface. The complexity of interpreting raw tactile information…

physics.flu-dyn2019★ 12 cited

Explicit Unsteady Navier-Stokes Solutions and their Analysis via Local Vortex Criteria

Tiemo Pedergnana, David Oettinger, Gabriel Provencher-Langlois +1

We construct a class of spatially polynomial velocity fields that are exact solutions of the planar unsteady Navier-Stokes equation. These solutions can be used as simple benchmark…

math.DS2019★ 36 cited

How do Conservative Backbone Curves Perturb into Forced Responses? A Melnikov Function Analysis

Mattia Cenedese, George Haller

Weakly damped mechanical systems under small periodic forcing tend to exhibit periodic response in a close vicinity of certain periodic orbits of their conservative limit. Specific…

math.DS2019

Non-Existence of Periodic Orbits for Forced-Damped Potential Systems in Bounded Domains

Florian Kogelbauer

We prove Lr-estimates on periodic solutions of periodically-forced, linearly-damped mechanical systems with polynomially-bounded potentials. The estimates are applied to obtain a n…

math.DS2019★ 33 cited

Explicit Third-Order Model Reduction Formulas for General Nonlinear Mechanical Systems

Zsolt Veraszto, Sten Ponsioen, George Haller

For general nonlinear mechanical systems, we derive closed-form, reduced-order models up to cubic order based on rigorous invariant manifold results. For conservative systems, the…

cs.CE2019★ 21 cited

Model Order Reduction for Temperature-Dependent Nonlinear Mechanical Systems: A Multiple Scales Approach

Shobhit Jain, Paolo Tiso

The thermal dynamics in thermo-mechanical systems exhibits a much slower time scale compared to the structural dynamics. In this work, we use the method of multiple scales to reduc…

physics.flu-dyn2019★ 20 cited

Barriers to the Transport of Diffusive Scalars in Compressible Flows

George Haller, Daniel Karrasch, Florian Kogelbauer

Our recent work identifies material surfaces in incompressible flows that extremize the transport of an arbitrary, weakly diffusive scalar field relative to neighboring surfaces. S…

physics.flu-dyn2019★ 35 cited

Lagrangian coherent structures and entrainment near the turbulent/non-turbulent interface of a gravity current

M. M. Neamtu-Halic, D. Krug, G. Haller +1

In this paper, we employ Lagrangian coherent structures (LCSs) theory for the three dimensional vortex eduction and investigate the effect of large-scale vortical structures on the…

math.DS2018★ 26 cited

Fast Computation of Steady-State Response for Nonlinear Vibrations of High-Degree-of-Freedom Systems

Shobhit Jain, Thomas Breunung, George Haller

We discuss an integral equation approach that enables fast computation of the response of nonlinear multi-degree-of-freedom mechanical systems under periodic and quasi-periodic ext…

physics.geo-ph2018★ 79 cited

Material Barriers to Diffusive and Stochastic Transport

George Haller, Daniel Karrasch, Florian Kogelbauer

We seek transport barriers and transport enhancers as material surfaces across which the transport of diffusive tracers is minimal or maximal in a general, unsteady flow. We find t…

cs.CE2017★ 19 cited

Hyper-reduction over nonlinear manifolds for large nonlinear mechanical systems

Shobhit Jain, Paolo Tiso

Common trends in model order reduction of large nonlinear finite-element-discretized systems involve the introduction of a linear mapping into a reduced set of unknowns, followed b…

math.DS2017★ 94 cited

Automated Computation of Autonomous Spectral Submanifolds for Nonlinear Modal Analysis

Sten Ponsioen, Tiemo Pedergnana, George Haller

We discuss an automated computational methodology for computing two-dimensional spectral submanifolds (SSMs) in autonomous nonlinear mechanical systems of arbitrary degrees of free…

math-ph2017★ 19 cited

Exact Model Reduction for Damped-Forced Nonlinear Beams: An Infinite-Dimensional Analysis

Florian Kogelbauer, George Haller

We use invariant manifold results on Banach spaces to conclude the existence of spectral submanifolds (SSMs) in a class of nonlinear, externally forced beam oscillations. SSMs are…

physics.flu-dyn2017★ 221 cited

A Critical Comparison of Lagrangian Methods for Coherent Structure Detection

Alireza Hadjighasem, Mohammad Farazmand, Daniel Blazevski +2

We review and test twelve different approaches to the detection of finite-time coherent material structures in two-dimensional, temporally aperiodic flows. We consider both mathema…

math.DS2017★ 78 cited

Exact Nonlinear Model Reduction for a von Karman beam: Slow-Fast Decomposition and Spectral Submanifolds

Shobhit Jain, Paolo Tiso, George Haller

We apply two recently formulated mathematical techniques, Slow-Fast Decomposition (SFD) and Spectral Submanifold (SSM) reduction, to a von Karman beam with geometric nonlinearities…

physics.ao-ph2017★ 37 cited

Uncovering the Edge of the Polar Vortex

Mattia Serra, Pratik Sathe, Francisco Beron-Vera +1

The polar vortices play a crucial role in the formation of the ozone hole and can cause severe weather anomalies. Their boundaries, known as the vortex `edges', are typically ident…

cs.CE2016★ 91 cited

Generalization of Quadratic Manifolds for Reduced Order Modeling of Nonlinear Structural Dynamics

J. B. Rutzmoser, D. J. Rixen, P. Tiso +1

In this paper, a generalization of a quadratic manifold approach for the reduction of geometrically nonlinear structural dynamics problems is presented. This generalization is cons…