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

221 citations

Showing 2017Show all

6 papers · 1 filter

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…