69 citations · 428 across the 25 of their papers we have counts for
25 papers
Thermal convection in compressible gas with spanwise rotation
K. Lüdemann, A. Tilgner
We simulate numerically convection in a rectangular cell filled with an ideal gas rotating about an axis perpendicular to the direction of gravity. This configuration corresponds t…
Staircase formation in unstably stratified double diffusive finger convection
A. Rosenthal, K. Lüdemann, A. Tilgner
Double diffusive staircases are investigated experimentally in a fluid layer with a stabilizing temperature gradient and a destabilizing gradient of ion concentration. Gradients of…
Bounds for rotating convection at infinite Prandtl number from semidefinite programs
A. Tilgner
Bounds for the poloidal and toroidal kinetic energies and the heat transport are computed numerically for rotating convection at infinite Prandtl number with both no slip and stres…
Transition to three dimensional flow in thermal convection with spanwise rotation
K. Lüdemann, A. Tilgner
We investigate by direct numerical simulation Rayleigh-Bénard convection in a rotating rectangular cell with rotation vector and gravity perpendicular to each other. The flow is tw…
Elliptical Instability and Multi-Roll Flow Modes of the Large-scale Circulation in Confined Turbulent Rayleigh-Bénard Convection
Lukas Zwirner, Andreas Tilgner, Olga Shishkina
Turbulent Rayleigh-Bénard convection in slender cylindrical cells exhibits rich dynamics of the large-scale circulation (LSC), with several rolls stacked on top of each other. We p…
The time evolution equation for advective heat transport as a constraint for optimal bounds in Rayleigh-Bénard convection
A. Tilgner
Upper bounds on the heat transport and other quantities of interest in Rayleigh-Bénard convection are derived in previous work from constraints resulting from the equations of time…