Energy transfer and dissipation in forced isotropic turbulence

WD McComb, A Berera, SR Yoffe, MF Linkmann - Physical Review E, 2015 - APS
A model for the Reynolds-number dependence of the dimensionless dissipation rate C ɛ
was derived from the dimensionless Kármán-Howarth equation, resulting in C ɛ= C ɛ,∞+
C/RL+ O (1/RL 2), where RL is the integral scale Reynolds number. The coefficients C and C
ɛ,∞ arise from asymptotic expansions of the dimensionless second-and third-order
structure functions. This theoretical work was supplemented by direct numerical simulations
(DNSs) of forced isotropic turbulence for integral scale Reynolds numbers up to RL= 5875 …

Energy transfer and dissipation in forced isotropic turbulence

M Linkmann, WD McComb… - APS Division of Fluid …, 2014 - ui.adsabs.harvard.edu
A model for the Reynolds number dependence of the dimensionless dissipation rate C ɛ is
derived from the dimensionless Kármán-Howarth equation, resulting in C ɛ= C ɛ,∞+ C/RL,
where RL is the integral scale Reynolds number. The coefficients C and C ɛ,∞ arise from
asymptotic expansions of the dimensionless second-and third-order structure functions. The
model equation is fitted to data from direct numerical simulations (DNS) of forced isotropic
turbulence for integral scale Reynolds numbers up to RL= 5875 (R λ= 435), which results in …
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