Scaling bounds on dissipation in turbulent flows
Fluid Dynamics
2023-07-19 v1 Analysis of PDEs
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--B\'enard convection and porous medium convection.
Cite
@article{arxiv.1501.00831,
title = {Scaling bounds on dissipation in turbulent flows},
author = {Christian Seis},
journal= {arXiv preprint arXiv:1501.00831},
year = {2023}
}