76 citations · 669 across the 27 of their papers we have counts for
16 papers · 1 filter
Domain-filling rolls in two-dimensional fixed-flux Rayleigh-Bénard convection
Mathew D. B. Lewis, Zehan Zheng, David Goluskin
Rayleigh-Bénard convection of large horizontal extent sometimes self-organizes into domain-filling structures. In two dimensions, domain-filling rolls persist - from some but not a…
Quartic Lyapunov functions for global fluid stability
David Darrow, Elizabeth Carlson, David Goluskin
A fluid system is 'globally stable' if all initial conditions eventually converge to the same state. Since Reynolds (1895) and Orr (1907), the standard way to show global stability…
Bounds on dissipation in three-dimensional planar shear flows: reduction to two-dimensional problems
Farid Rajkotia-Zaheer, David Goluskin
Bounds on turbulent averages in shear flows can be derived from the Navier--Stokes equations by a mathematical approach called the background method. Bounds that are optimal within…
Lifetimes of metastable windy states in two-dimensional Rayleigh-Bénard convection with stress-free boundaries
Qi Wang, David Goluskin, Detlef Lohse
Two-dimensional horizontally periodic Rayleigh-Bénard convection between stress-free boundaries displays two distinct types of states, depending on the initial conditions. Roll sta…
Steady Rayleigh--Bénard convection: strongly nonlinear high-wavenumber rolls
Baole Wen, Alexander Takla, David Goluskin +1
In Rayleigh--Bénard convection, two-dimensional steady rolls bifurcate supercritically at a Rayleigh number that depends on their horizontal-to-vertical aspect ratio , and…
Transition between Boundary-Limited Scaling and Mixing-Length Scaling of Turbulent Transport in Internally Heated Convection
Sina Kazemi, Rodolfo Ostilla-Mónico, David Goluskin
Heat transport in turbulent thermal convection increases with the thermal forcing, but in almost all studies the rate of this increase is slower than it would be if transport becam…
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…
Heat transport bounds for a truncated model of Rayleigh-Bénard convection via polynomial optimization
Matthew L. Olson, David Goluskin, William W. Schultz +1
Upper bounds on time-averaged heat transport are obtained for an eight-mode Galerkin truncation of Rayleigh's 1916 model of natural thermal convection. Bounds for the ODE model---a…
Global stability of fluid flows despite transient growth of energy
Federico Fuentes, David Goluskin, Sergei Chernyshenko
Verifying nonlinear stability of a laminar fluid flow against all perturbations is a central challenge in fluid dynamics. Past results rely on monotonic decrease of a perturbation…
Internally heated convection beneath a poor conductor
David Goluskin
We consider convection in an internally heated layer of fluid that is bounded below by a perfect insulator and above by a poor conductor. The poorly conducting boundary is modelled…
Bounds for convection between rough boundaries
David Goluskin, Charles R. Doering
We consider Rayleigh-Bénard convection in a layer of fluid between rough no-slip boundaries where the top and bottom boundary heights are functions of the horizontal coordinates wi…
Penetrative internally heated convection in two and three dimensions
David Goluskin, Erwin P. van der Poel
Convection of an internally heated fluid, confined between top and bottom plates of equal temperature, is studied by direct numerical simulation in two and three dimensions. The un…
Internally heated convection and Rayleigh-Bénard convection
David Goluskin
This work reviews basic features of both Rayleigh-Bénard (RB) convection and internally heated (IH) convection, along with findings on IH convection from laboratory experiments and…
Convectively driven shear and decreased heat flux
David Goluskin, Hans Johnston, Glenn R. Flierl +1
We report on direct numerical simulations of two-dimensional, horizontally periodic Rayleigh-Bénard convection, focusing on its ability to drive large-scale horizontal flow that is…
Convection driven by internal heating
David Goluskin, Edward A. Spiegel
Two-dimensional direct numerical simulations are conducted for convection sustained by uniform internal heating in a horizontal fluid layer. Top and bottom boundary temperatures ar…