111 citations · 376 across the 20 of their papers we have counts for
11 papers · 1 filter
Fluid flow and spatiotemporal chaos in chemically active emulsions
Charu Datt, Jonathan Bauermann, Nazmi Burak Budanur +1
We study phase-separating fluid mixtures as they demix in the presence of chemical reactions that maintain them away from thermodynamic equilibrium. We show that in such chemically…
Direct path from turbulence to time-periodic solutions
Chaitanya S. Paranjape, Gökhan Yalnız, Yohann Duguet +2
Viscous flows through pipes and channels are steady and ordered until, with increasing velocity, the laminar motion catastrophically breaks down and gives way to turbulence. How th…
Scale-dependent Error Growth in Navier--Stokes Simulations
Nazmi Burak Budanur, Holger Kantz
We estimate the maximal Lyapunov exponent at different resolutions and Reynolds numbers in large eddy (LES) and direct numerical simulations (DNS) of sinusoidally-driven Navier--St…
Crises and chaotic scattering in hydrodynamic pilot-wave experiments
George Choueiri, Balachandra Suri, Jack Merrin +3
Theoretical foundations of chaos have have been predominantly laid out for finite-dimensional dynamical systems, such as the three-body problem in classical mechanics and the Loren…
Symmetry-reduced Dynamic Mode Decomposition of Near-wall Turbulence
Elena Marensi, Gökhan Yalnız, Björn Hof +1
Data-driven dimensionality reduction methods such as proper orthogonal decomposition (POD) and dynamic mode decomposition (DMD) have proven to be useful for exploring complex pheno…
Coarse graining the state space of a turbulent flow using periodic orbits
Gökhan Yalnız, Björn Hof, Nazmi Burak Budanur
We show that turbulent dynamics that arise in simulations of the three-dimensional Navier--Stokes equations in a triply-periodic domain under sinusoidal forcing can be described as…
Upper edge of chaos and the energetics of transition in pipe flow
Nazmi Burak Budanur, Elena Marensi, Ashley P. Willis +1
In the past two decades, our understanding of the transition to turbulence in shear flows with linearly stable laminar solutions has greatly improved. Regarding the susceptibility…
State space geometry of the chaotic pilot-wave hydrodynamics
Nazmi Burak Budanur, Marc Fleury
We consider the motion of a droplet bouncing on a vibrating bath of the same fluid in the presence of a central potential. We formulate a rotation symmetry-reduced description of t…
Geometry of transient chaos in streamwise-localized pipe flow turbulence
Nazmi Burak Budanur, Akshunna S. Dogra, Björn Hof
In pipes and channels, the onset of turbulence is initially dominated by localized transients, which lead to sustained turbulence through their collective dynamics. In the present…
Complexity of the laminar-turbulent boundary in pipe flow
Nazmi Burak Budanur, Björn Hof
Over the past decade, the edge of chaos has proven to be a fruitful starting point for investigations of shear flows when the laminar base flow is linearly stable. Numerous computa…
Destabilizing turbulence in pipe flow
J. Kühnen, B. Song, D. Scarselli +5
Turbulence is the major cause of friction losses in transport processes and it is responsible for a drastic drag increase in flows over bounding surfaces. While much effort is inve…