Krylov methods for large-scale dynamical systems: Application in fluid dynamics

RAS Frantz, JC Loiseau… - Applied …, 2023 - asmedigitalcollection.asme.org
In fluid dynamics, predicting and characterizing bifurcations, from the onset of unsteadiness
to the transition to turbulence, is of critical importance for both academic and industrial …

Analysis of the dynamics of subharmonic flow structures via the harmonic resolvent: Application to vortex pairing in an axisymmetric jet

A Padovan, CW Rowley - Physical Review Fluids, 2022 - APS
In this paper we extend the harmonic resolvent analysis to study the dynamics of
subharmonic perturbations about a periodically time-varying base flow. In doing so, we …

[HTML][HTML] Adjoint-based optimisation of time-and span-periodic flow fields with Space–Time Spectral Method: Application to non-linear instabilities in compressible …

A Poulain, C Content, A Schioppa, P Nibourel… - Computers & …, 2024 - Elsevier
We aim at computing time-and span-periodic flow fields in span-invariant configurations.
The streamwise and cross-stream derivatives are discretised with finite volumes while time …

Identification and reconstruction of high-frequency fluctuations evolving on a low-frequency periodic limit cycle: application to turbulent cylinder flow

L Franceschini, D Sipp, O Marquet, J Moulin… - Journal of Fluid …, 2022 - cambridge.org
Oftentimes, turbulent flows exhibit a high-frequency turbulent component developing on a
strong low-frequency periodic motion. In such cases, the low-frequency motion may strongly …

Time-stepping and Krylov methods for large-scale instability problems

JC Loiseau, MA Bucci, S Cherubini… - … modelling of bifurcations …, 2019 - Springer
With the ever increasing computational power available and the development of high-
performances computing, investigating the properties of realistic very large-scale nonlinear …

Efficient computation of time-periodic compressible flows with spectral techniques

J Sierra-Ausin, V Citro, F Giannetti, D Fabre - Computer Methods in Applied …, 2022 - Elsevier
A systematic approach to parametrically analyze compressible time-periodic flows is
proposed. Instead of time-stepping simulations, a Fourier–Galerkin strategy is adopted …

Continuous-time balanced truncation for time-periodic fluid flows using frequential Gramians

A Padovan, CW Rowley - Journal of Computational Physics, 2024 - Elsevier
Reduced-order models for flows that exhibit time-periodic behavior (eg, flows in
turbomachinery and wake flows) are critical for several tasks, including active control and …

Hysteresis of two-dimensional flows around a NACA0012 airfoil at Re= 5000 and linear analyses of their mean flow.

O Marquet, JS Leontini, J Zhao… - International Journal of …, 2022 - Elsevier
Two-dimensional numerical simulations of the flow around a NACA0012 profile at Reynolds
number Re= 5000 show that unsteady periodic flows reach different saturated states when …

Vortex pairing in jets as a global Floquet instability: modal and transient dynamics

L Shaabani-Ardali, D Sipp, L Lesshafft - Journal of Fluid Mechanics, 2019 - cambridge.org
The spontaneous pairing of rolled-up vortices in a laminar jet is investigated as a global
secondary instability of a time-periodic spatially developing vortex street. The growth of …

The acoustic impedance of a laminar viscous jet through a thin circular aperture

D Fabre, R Longobardi, P Bonnefis… - Journal of Fluid …, 2019 - cambridge.org
The unsteady axisymmetric flow through a circular aperture in a thin plate subjected to
harmonic forcing (for instance under the effect of an incident acoustic wave) is a classical …