: We prove the existence of an eddy heat diffusion coefficient coming from an idealized model of turbulent fluid. A difficulty lies in the presence of a boundary, with also turbulent mixing and the eddy diffusion coefficient going to zero at the boundary. Nevertheless, enhanced diffusion takes place. This article is part of the theme issue 'Scaling the turbulence edifice (part 2)'.

Eddy heat exchange at the boundary under white noise turbulence

Flandoli F.;Galeati L.;Luo D.
2022

Abstract

: We prove the existence of an eddy heat diffusion coefficient coming from an idealized model of turbulent fluid. A difficulty lies in the presence of a boundary, with also turbulent mixing and the eddy diffusion coefficient going to zero at the boundary. Nevertheless, enhanced diffusion takes place. This article is part of the theme issue 'Scaling the turbulence edifice (part 2)'.
2022
Settore MAT/06 - Probabilita' e Statistica Matematica
Settore MATH-03/B - Probabilità e statistica matematica
Dirichlet boundary condition; covariance matrix; eddy diffusion; first eigenvalue; turbulence; vortex patch
   Noise in Fluids
   NoisyFluid
   European Commission
   101053472
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/169825
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