Scaling bounds on dissipation in turbulent flows

Abstract

We present a new rigorous method for estimating statistical quantities in fluid dynamics such as the (average) energy dissipation rate directly from the equations of motion. The method is tested on shear flow, channel flow, Rayleigh--Bénard convection and porous medium convection.

References in corpus (1)

• Wall to Wall Optimal Transport

Cited by in corpus (6)

• Turbulence Modeling in the Age of Data
• Bounds for convection between rough boundaries
• Optimal wall-to-wall transport by incompressible flows
• Relationship between the methods of bounding time averages
• On the optimal design of wall-to-wall heat transport
• Energy dissipation rate limits for flow through rough channels and tidal flow across topography- Corrigendum