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Main Authors: Yin, Xi-Yuan, Agoua, Wesley, Wu, Tong, Bos, Wouter J. T.
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2402.16762
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author Yin, Xi-Yuan
Agoua, Wesley
Wu, Tong
Bos, Wouter J. T.
author_facet Yin, Xi-Yuan
Agoua, Wesley
Wu, Tong
Bos, Wouter J. T.
contents We investigate the role of the correlation between a scalar quantity and the vorticity in two-dimensional mixing at infinite Péclet number. We assess, using a diffusivity independent mixing-norm, the dynamics of both Galerkin-truncated ensembles and freely evolving two-dimensional scalar mixing. Both statistical mechanics and numerical experiments show how the mixing-rate is attenuated when vorticity and scalar are initially correlated. Since the vorticity is shown to be a poorly mixing scalar, the results suggest that, in general, mixing can be enhanced by minimizing the correlation between vorticity and passive scalar.
format Preprint
id arxiv_https___arxiv_org_abs_2402_16762
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The influence of the vorticity-scalar correlation on mixing
Yin, Xi-Yuan
Agoua, Wesley
Wu, Tong
Bos, Wouter J. T.
Fluid Dynamics
We investigate the role of the correlation between a scalar quantity and the vorticity in two-dimensional mixing at infinite Péclet number. We assess, using a diffusivity independent mixing-norm, the dynamics of both Galerkin-truncated ensembles and freely evolving two-dimensional scalar mixing. Both statistical mechanics and numerical experiments show how the mixing-rate is attenuated when vorticity and scalar are initially correlated. Since the vorticity is shown to be a poorly mixing scalar, the results suggest that, in general, mixing can be enhanced by minimizing the correlation between vorticity and passive scalar.
title The influence of the vorticity-scalar correlation on mixing
topic Fluid Dynamics
url https://arxiv.org/abs/2402.16762