TY - JOUR

T1 - Turbulent thermal superstructures in Rayleigh-Bénard convection

AU - Stevens, Richard J.A.M.

AU - Blass, Alexander

AU - Zhu, Xiaojue

AU - Verzicco, Roberto

AU - Lohse, Detlef

PY - 2018/4/6

Y1 - 2018/4/6

N2 - We report the observation of superstructures, i.e., very large-scale and long living coherent structures in highly turbulent Rayleigh-Bénard convection up to Rayleigh Ra=109. We perform direct numerical simulations in horizontally periodic domains with aspect ratios up to Γ=128. In the considered Ra number regime the thermal superstructures have a horizontal extend of six to seven times the height of the domain and their size is independent of Ra. Many laboratory experiments and numerical simulations have focused on small aspect ratio cells in order to achieve the highest possible Ra. However, here we show that for very high Ra integral quantities such as the Nusselt number and volume averaged Reynolds number only converge to the large aspect ratio limit around Γ≈4, while horizontally averaged statistics such as standard deviation and kurtosis converge around Γ≈8, the integral scale converges around Γ≈32, and the peak position of the temperature variance and turbulent kinetic energy spectra only converge around Γ≈64.

AB - We report the observation of superstructures, i.e., very large-scale and long living coherent structures in highly turbulent Rayleigh-Bénard convection up to Rayleigh Ra=109. We perform direct numerical simulations in horizontally periodic domains with aspect ratios up to Γ=128. In the considered Ra number regime the thermal superstructures have a horizontal extend of six to seven times the height of the domain and their size is independent of Ra. Many laboratory experiments and numerical simulations have focused on small aspect ratio cells in order to achieve the highest possible Ra. However, here we show that for very high Ra integral quantities such as the Nusselt number and volume averaged Reynolds number only converge to the large aspect ratio limit around Γ≈4, while horizontally averaged statistics such as standard deviation and kurtosis converge around Γ≈8, the integral scale converges around Γ≈32, and the peak position of the temperature variance and turbulent kinetic energy spectra only converge around Γ≈64.

KW - physics.flu-dyn

UR - http://www.scopus.com/inward/record.url?scp=85047243499&partnerID=8YFLogxK

U2 - 10.1103/PhysRevFluids.3.041501

DO - 10.1103/PhysRevFluids.3.041501

M3 - Article

VL - 3

JO - Physical review fluids

JF - Physical review fluids

SN - 2469-990X

IS - 4

M1 - 041501(R)

ER -