188 citations · 1.4k across the 48 of their papers we have counts for
49 papers
Long-time behavior of optimal mixing in an advection-diffusion shell model
Jiajia Guo, Baole Wen, Christian Seis +1
We investigate the long-time behavior of optimal mixing in an advection-diffusion equation using a shell model framework. Our focus is on quantifying the decay of the scalar varian…
Heat transport in a hierarchy of reduced-order convection models
Matthew L. Olson, Charles R. Doering
Reduced-order models (ROMs) are systems of ordinary differential equations (ODEs) designed to approximate the dynamics of partial differential equations (PDEs). In this work, a dis…
Optimal time averages in non-autonomous nonlinear dynamical systems
Charles R. Doering, Andrew McMillan
The auxiliary function method allows computation of extremal long-time averages of functions of dynamical variables in autonomous nonlinear ordinary differential equations via conv…
Steady Rayleigh--Bénard convection between no-slip boundaries
Baole Wen, David Goluskin, Charles R. Doering
The central open question about Rayleigh--Bénard convection -- buoyancy-driven flow in a fluid layer heated from below and cooled from above -- is how vertical heat flux depends on…
Steady Rayleigh--Bénard convection between stress-free boundaries
Baole Wen, David Goluskin, Matthew LeDuc +2
Steady two-dimensional Rayleigh--Bénard convection between stress-free isothermal boundaries is studied via numerical computations. We explore properties of steady convective rolls…
Exact relations between Rayleigh-Bénard and rotating plane Couette flow in 2D
Bruno Eckhardt, Charles R. Doering, Jared P. Whitehead
Rayleigh-Bénard convection (RBC) and Taylor-Couette Flow (TCF) are two paradigmatic fluid dynamical systems frequently discussed together because of their many similarities despite…