A passive scalar equation for the heat diffusion and transport in an infinite channel is studied. The velocity field is white noise in time, modelling phenomenologically a turbulent fluid. Under the driving effect of a heat source, the phenomenon of eddy dissipation is investigated: the solution is close, in a weak sense, to the stationary deterministic solution of the heat equation with augmented diffusion coefficients.

Heat diffusion in a channel under white noise modeling of turbulence

Flandoli, Franco
;
Luongo, Eliseo
2022

Abstract

A passive scalar equation for the heat diffusion and transport in an infinite channel is studied. The velocity field is white noise in time, modelling phenomenologically a turbulent fluid. Under the driving effect of a heat source, the phenomenon of eddy dissipation is investigated: the solution is close, in a weak sense, to the stationary deterministic solution of the heat equation with augmented diffusion coefficients.
2022
Settore MAT/06 - Probabilita' e Statistica Matematica
Dirichlet boundary condition; Eddy diffusion; Transport noise; Turbulence; Vortex patch; approximation; exponents
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/142283
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