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Stochastic modelling and diffusion modes for proper orthogonal decomposition models and small-scale flow analysis ArchiMer
Resseguier, Valentin; Memin, Etienne; Heitz, Dominique; Chapron, Bertrand.
We present here a new stochastic modelling approach in the constitution of fluid flow reduced-order models. This framework introduces a spatially inhomogeneous random field to represent the unresolved small-scale velocity component. Such a decomposition of the velocity in terms of a smooth large-scale velocity component and a rough, highly oscillating component gives rise, without any supplementary assumption, to a large-scale flow dynamics that includes a modified advection term together with an inhomogeneous diffusion term. Both of those terms, related respectively to turbophoresis and mixing effects, depend on the variance of the unresolved small-scale velocity component. They bring an explicit subgrid term to the reduced system which enables us to take...
Tipo: Text Palavras-chave: Low-dimensional models; Turbulence modelling; Turbulent mixing.
Ano: 2017 URL: http://archimer.ifremer.fr/doc/00396/50698/53726.pdf
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