94 citations · 152 across the 13 of their papers we have counts for
14 papers
Objective detection of coherent vortices from instantaneous flow data
Tiemo Pedergnana, Florian Kogelbauer
Vortices are swirling regions of fluid that structure motion in gases and liquids across a wide range of scales, from laboratory-scale experiments to vast atmospheric currents. The…
Relativistic electrodynamics with a universal length scale
Tiemo Pedergnana, Florian Kogelbauer
We derive the analogues of the Dirac and Pauli equations from a spatially fourth-order Klein--Gordon equation with a universal length scale. Starting from a singularly perturbed va…
An Objective Measure of Unsteadiness
Florian Kogelbauer, Tiemo Pedergnana
Unsteadiness lies at the heart of turbulent fluid dynamics, eddy formation and instabilities in flows thus making it central to both understanding and controlling fluid systems. In…
Synchronization-based lossless non-reciprocal scattering
Tiemo Pedergnana, Abel Faure-Beaulieu, Romain Fleury +1
Breaking the reciprocity of wave propagation is a problem of fundamental interest, and a mucht-sought functionality in practical applications, both in photonics and phononics. Alth…
Smooth transformations and ruling out closed orbits in planar systems
Tiemo Pedergnana, Nicolas Noiray
This work deals with planar dynamical systems with and without noise. In the first part, we seek to gain a refined understanding of such systems by studying their differential-geom…
The Objective Deformation Component of a Velocity Field
Bálint Kaszás, Tiemo Pedergnana, George Haller
For an arbitrary velocity field defined on a finite, fixed spatial domain, we find the closest rigid-body velocity field to in the …
Exact potentials in multivariate Langevin equations
Tiemo Pedergnana, Nicolas Noiray
Systems governed by a multivariate Langevin equation featuring an exact potential exhibit straightforward dynamics but are often difficult to recognize because, after a general coo…
Superradiant Scattering from Nonlinear Wave-Mode Coupling
Tiemo Pedergnana, Nicolas Noiray
Waves scattered at a self-oscillating mode can exhibit superradiance, or net amplification of an external harmonic excitation. This exotic behavior, arising from the nonlinear coup…
Steady State Statistics of Emergent Patterns in a Ring of Oscillators
Tiemo Pedergnana, Nicolas Noiray
Networks of coupled nonlinear oscillators model a broad class of physical, chemical and biological systems. Understanding emergent patterns in such networks is an ongoing effort wi…
Coupling-Induced Instability in a Ring of Thermoacoustic Oscillators
Tiemo Pedergnana, Nicolas Noiray
Thermoacoustic instabilities in can-annular combustors of stationary gas turbines lead to unstable Bloch modes which appear as rotating acoustic pressure waves along the turbine an…
Modeling the nonlinear aeroacoustic response of a harmonically forced side branch aperture under turbulent grazing flow
Tiemo Pedergnana, Claire Bourquard, Abel Faure-Beaulieu +1
Hydrodynamic modes in the turbulent mixing layer over a cavity can constructively interact with the acoustic modes of that cavity and lead to aeroacoustic instabilities. The result…
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…
Analytic Prediction of Isolated Forced Response Curves from Spectral Submanifolds
Sten Ponsioen, Tiemo Pedergnana, George Haller
We show how spectral submanifold theory can be used to provide analytic predictions for the response of periodically forced multi-degree-of-freedom mechanical systems. These predic…
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…