Abstract
Velocity gradient tensor,
$A_{ij}\equiv \partial u_i/\partial x_j$
, in a turbulence flow field is modelled by separating the treatment of intermittent magnitude (
$A = \sqrt {A_{ij}A_{ij}}$
) from that of the more universal normalised velocity gradient tensor,
$b_{ij} \equiv A_{ij}/A$
. The boundedness and compactness of the
$b_{ij}$
-space along with its universal dynamics allow for the development of models that are reasonably insensitive to Reynolds number. The near-lognormality of the magnitude
$A$
is then exploited to derive a model based on a modified Ornstein–Uhlenbeck process. These models are developed using data-driven strategies employing high-fidelity forced isotropic turbulence data sets. A posteriori model results agree well with direct numerical simulation data over a wide range of velocity-gradient features and Reynolds numbers.
Publisher
Cambridge University Press (CUP)
Cited by
1 articles.
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