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Strain self-amplification is larger than vortex stretching due to an invariant relation of filtered velocity gradients
Published online by Cambridge University Press: 12 January 2023
Abstract
A relation among invariants of filtered velocity gradients with two different filter sizes is derived. Based on this relation and physical reasoning, it is shown analytically that strain self-amplification contributes more to energy transfer than vortex stretching in homogeneous turbulence, as observed in recent numerical investigations of homogeneous isotropic turbulence. We note that the invariant relation studied and hence the inequality between strain self-amplification and vortex stretching apply to all homogeneous flows, not restricted to isotropic turbulence.
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- © The Author(s), 2023. Published by Cambridge University Press
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