Energy dissipation in body-forced turbulence

By Charles R. Doering, Ciprian Foias. Journal of Fluid Mechanics, 2001

178 citations recorded by the source corpus.

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Using multiscale norms to quantify mixing and transport (2011, methodology): “Thiffeault and Doering [87] used an idea of Doering and Foias [29] to obtain a simple bound on the mixing efficiency E0: multiply (2.”
Dissipation in Turbulent Flows (2015, methodology): “The DNS results reported by Sreenivasan (1998) and Kaneda et al. (2003), the inequality derived from the Navier-Stokes equation by Doering & Foias (2002), and the closed-container experiments of Cadot et al. (1997) lend strong support to Equation 6 with C = const. in the context of forced…”
Euler Equations, Navier-Stokes Equations and Turbulence (2006, methodology): “An upper bound on dissipation in bounded domains, exploiting this idea is given in ([ 44 ]).”
Particle image velocimetry study of fractal-generated turbulence (2012, background): “Interestingly, Doering & Foias (2002) rigorously proved from the incompressible Navier–Stokes equations that periodic and statistically stationary body-forced three-dimensional turbulence is such that 6 c1νK/l2+ c2K3/2/l where ν is the kinematic viscosity, c1, c2 are dimensionless…”
Estimation of the dissipation rate of turbulent kinetic energy: A review (2021, unknown): “Upper bounds on the turbulent dissipation rate were given for shear driven turbulence and body-forced turbulence (Doering and Constantin, 1992; Doering and Foias, 2002).”