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Turbulent mixing driven by variable density and transport coefficients effects

Abstract : This thesis is dedicated to the study of turbulent mixing in flows with variable density and non-uniform transport coefficients. We use a new direct numerical simulation (DNS) code based on a two-dimensional domain decomposition, capable of taking into account variable density and diffusive contributions. At first, we consider the case of turbulence in weakly-coupled plasmas under isotropic compression, which can experience a sudden dissipation of kinetic energy due to the growth of the viscosity coefficient due to temperature increase. In this case, in addition to DNS we use a spectral model based on the Eddy-Damped Quasi-Normal Markovian closure. We evidence the sensitivity of the flow dynamics to initial conditions for homogeneous isotropic turbulence and an inhomogeneous spherical turbulent layer. In the latter case, we find, also, the first hint of a sudden diffusion effect. The importance of initial conditions is also shown in the study of the variable density unstably stratified homogeneous turbulence. If the initial density contrasts are sufficiently strong, the large scales of the flow are modified with the consequent modification of the self-similar scaling laws. Finally, we consider an idealized configuration of inertial confinement fusion implosion, with both variable density and transport coefficients effects. During the compression, we evidence the competition between the plasma molecular diffusion, which is enhanced by the temperature increase, and the turbulent diffusion, which on the contrary decreases due to the increased viscous dissipation. In the last phase of the implosion, we highlight a sudden diffusion process, where compressed spherical mixing layers are quickly diffused.
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  • HAL Id : tel-02479835, version 1

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Giovanni Viciconte. Turbulent mixing driven by variable density and transport coefficients effects. Other. Université de Lyon, 2019. English. ⟨NNT : 2019LYSEC035⟩. ⟨tel-02479835⟩

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