Imperial College London


Faculty of EngineeringDepartment of Aeronautics

Chair in Aerodynamics



+44 (0)20 7594 5548s.chernyshenko Website




211aCity and Guilds BuildingSouth Kensington Campus






BibTex format

author = {Chernyshenko, S},
title = {Relationship between the methods of bounding time averages},
url = {},
year = {2017}

RIS format (EndNote, RefMan)

AB - The problem of finding bounds of time-averaged characteristics of dynamicalsystems, such as for example the bound on the mean energy dissipation rate in aturbulent flow governed by incompressible Navier-Stokes equations, isconsidered. It is shown that both the well-known background flow method ofDoering and Constantin and the direct method proposed by Seis in 2015correspond to the same quadratic storage functional in the framework of theindefinite storage functional method. In particular, a background flow can befound corresponding to the linear functional used in the direct method and viceversa. It is shown that any bound obtained with the background flow method canalso be obtained by the direct method. The reverse is true subject to anadditional constraint. The relative advantages of the three methods arediscussed.
AU - Chernyshenko,S
PY - 2017///
TI - Relationship between the methods of bounding time averages
UR -
UR -
ER -