On the Reynolds number dependence of velocity-gradient structure and dynamics

• Published in: Journal of fluid mechanics Vol. 861; pp. 163 - 179
• Main Authors: Das, Rishita, Girimaji, Sharath S.
• Format: Journal Article
• Language: English
• Published: Cambridge, UK Cambridge University Press 25.02.2019
• Subjects: Computer simulation; Conditioning; Dependence; Direct numerical simulation; Dynamic structural analysis; Dynamics; Fluid flow; Frameworks; JFM Papers; Mathematical models; Probability theory; Reynolds number; Statistical analysis; Statistical methods; Streamlines; Tensors; Topology; Velocity; Velocity gradient; Velocity gradients; turbulent flows; intermittency; isotropic turbulence

We seek to examine the changes in velocity-gradient structure (local streamline topology) and related dynamics as a function of Reynolds number ( $Re_{\unicode[STIX]{x1D706}}$ ). The analysis factorizes the velocity gradient ( $\unicode[STIX]{x1D608}_{ij}$ ) into the magnitude ( $A^{2}$ ) and normal...