On the Reynolds number dependence of velocity-gradient structure and dynamics. Das, R. & Girimaji, S., S. Journal of Fluid Mechanics, 861:163-179, Cambridge University Press, 4, 2019. ![On the Reynolds number dependence of velocity-gradient structure and dynamics [link]](https://bibbase.org/img/filetypes/link.svg "link")
Website doi abstract bibtex 5 downloads We seek to examine the changes in velocity-gradient structure (local streamline topology) and related dynamics as a function of Reynolds number ( Re_[STIX]x1D706 ). The analysis factorizes the velocity gradient ( [STIX]x1D608_ij ) into the magnitude ( A^2 ) and normalized-gradient tensor ( [STIX]x1D623_ij [STIX]x1D608_ij/A^2 ). The focus is on bounded [STIX]x1D623_ij as (i) it describes small-scale structure and local streamline topology, and (ii) its dynamics is shown to determine magnitude evolution. Using direct numerical simulation (DNS) data, the moments and probability distributions of [STIX]x1D623_ij and its scalar invariants are shown to attain Re_[STIX]x1D706 independence. The critical values beyond which each feature attains Re_[STIX]x1D706 independence are established. We proceed to characterize the Re_[STIX]x1D706 dependence of [STIX]x1D623_ij -conditioned statistics of key non-local pressure and viscous processes. Overall, the analysis provides further insight into velocity-gradient dynamics and offers an alternative framework for investigating intermittency, multifractal behaviour and for developing closure models.
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abstract = {We seek to examine the changes in velocity-gradient structure (local streamline topology) and related dynamics as a function of Reynolds number ( Re_[STIX]x1D706 ). The analysis factorizes the velocity gradient ( [STIX]x1D608_ij ) into the magnitude ( A^2 ) and normalized-gradient tensor ( [STIX]x1D623_ij [STIX]x1D608_ij/A^2 ). The focus is on bounded [STIX]x1D623_ij as (i) it describes small-scale structure and local streamline topology, and (ii) its dynamics is shown to determine magnitude evolution. Using direct numerical simulation (DNS) data, the moments and probability distributions of [STIX]x1D623_ij and its scalar invariants are shown to attain Re_[STIX]x1D706 independence. The critical values beyond which each feature attains Re_[STIX]x1D706 independence are established. We proceed to characterize the Re_[STIX]x1D706 dependence of [STIX]x1D623_ij -conditioned statistics of key non-local pressure and viscous processes. Overall, the analysis provides further insight into velocity-gradient dynamics and offers an alternative framework for investigating intermittency, multifractal behaviour and for developing closure models.},
bibtype = {article},
author = {Das, Rishita and Girimaji, Sharath S},
doi = {10.1017/jfm.2018.924},
journal = {Journal of Fluid Mechanics}
}
Downloads: 5
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