30 citations · 33 across the 2 of their papers we have counts for
5 papers
Quantifying Spatiotemporal Chaos in Rayleigh-Bénard Convection
Alireza Karimi, Mark R. Paul
Using large-scale parallel numerical simulations we explore spatiotemporal chaos in Rayleigh-Bénard convection in a cylindrical domain with experimentally relevant boundary conditi…
Exploring Spiral Defect Chaos in Generalized Swift-Hohenberg Models with Mean Flow
Alireza Karimi, Zhi-Feng Huang, Mark Paul
We explore the phenomenon of spiral defect chaos in two types of generalized Swift-Hohenberg model equations that include the effects of long-range drift velocity or mean flow. We…
Dynamical Eigenfunction Decomposition of Turbulent Pipe Flow
A. Duggleby, K. S. Ball, M. R. Paul +1
The results of an analysis of turbulent pipe flow based on a Karhunen-Lo`eve decomposition are presented. The turbulent flow is generated by a direct numerical simulation of the Na…
Rayleigh-Benard Convection with a Radial Ramp in Plate Separation
M. R. Paul, M. C. Cross, P. F. Fischer
Pattern formation in Rayleigh-Benard convection in a large-aspect-ratio cylinder with a radial ramp in the plate separation is studied analytically and numerically by performing nu…
Power-Law Behavior of Power Spectra in Low Prandtl Number Rayleigh-Benard Convection
M. R. Paul, M. C. Cross, P. F. Fischer +1
The origin of the power-law decay measured in the power spectra of low Prandtl number Rayleigh-Benard convection near the onset of chaos is addressed using long time numerical simu…