Dresden 2020 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 16: Convection
DY 16.2: Talk
Monday, March 16, 2020, 15:45–16:00, ZEU 147
Differences between 2D and 3D rotating, incompressible convection in direct numerical simulations — •Kevin Lüdemann and Andreas Tilgner — Institute of Geophysics, Göttingen, Germany
Direct numerical simulations of an incompressible fluid are used to investigate differences between exact 2D and 3D simulations. The fluid is rotated about a direction perpendicular to the direction of gravity. The Prandtl number is 0.7 and the convection is controlled by a Rayleigh number ranging from 104 to 109. Rotation is characterised by the Ekman number ranging from 10−1 down to 10−6. The convective flow will be restrained to the plane perpendicular to the direction of rotation at strong enough rotation due to the Taylor-Proudman theorem. This behaviour will break up once convective driving is strong enough. Thermal transport and kinetic energy density depart noticeably from the 2D scaling. In the regime of 3D isotropic turbulence the scaling of the Nusselt number is different from the 2D scaling by a constant factor.