Short-time evolution of Lagrangian velocity gradient correlations in isotropic turbulence
We show by direct numerical simulation (DNS) that the Lagrangian cross correlation of velocity gradients in homogeneous isotropic turbulence increases at short times, whereas its auto-correlation decreases. Kinematic considerations allow to show that two invariants of the turbulent velocity field de...
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| Veröffentlicht in: | Physics of fluids (1994) 2015-12, Vol.27 (12) |
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| container_issue | 12 |
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| container_title | Physics of fluids (1994) |
| container_volume | 27 |
| creator | Fang, L. Bos, W. J. T. Jin, G. D. |
| description | We show by direct numerical simulation (DNS) that the Lagrangian cross correlation of velocity gradients in homogeneous isotropic turbulence increases at short times, whereas its auto-correlation decreases. Kinematic considerations allow to show that two invariants of the turbulent velocity field determine the short-time velocity gradient correlations. In order to get a more intuitive understanding of the dynamics for longer times, heuristic models are proposed involving the combined action of local shear and rotation. These models quantitatively reproduce the effects and disentangle the different physical mechanisms leading to the observations in the DNS. |
| doi_str_mv | 10.1063/1.4936140 |
| format | Article |
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J. T. ; Jin, G. D.</creator><creatorcontrib>Fang, L. ; Bos, W. J. T. ; Jin, G. D.</creatorcontrib><description>We show by direct numerical simulation (DNS) that the Lagrangian cross correlation of velocity gradients in homogeneous isotropic turbulence increases at short times, whereas its auto-correlation decreases. Kinematic considerations allow to show that two invariants of the turbulent velocity field determine the short-time velocity gradient correlations. In order to get a more intuitive understanding of the dynamics for longer times, heuristic models are proposed involving the combined action of local shear and rotation. 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J. T.</creatorcontrib><creatorcontrib>Jin, G. D.</creatorcontrib><title>Short-time evolution of Lagrangian velocity gradient correlations in isotropic turbulence</title><title>Physics of fluids (1994)</title><description>We show by direct numerical simulation (DNS) that the Lagrangian cross correlation of velocity gradients in homogeneous isotropic turbulence increases at short times, whereas its auto-correlation decreases. Kinematic considerations allow to show that two invariants of the turbulent velocity field determine the short-time velocity gradient correlations. In order to get a more intuitive understanding of the dynamics for longer times, heuristic models are proposed involving the combined action of local shear and rotation. 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| ispartof | Physics of fluids (1994), 2015-12, Vol.27 (12) |
| issn | 1070-6631 1089-7666 |
| language | eng |
| recordid | cdi_hal_primary_oai_HAL_hal_01298331v1 |
| source | AIP Journals Complete; Alma/SFX Local Collection |
| subjects | Computer simulation Cross correlation Direct numerical simulation Engineering Sciences Fluid dynamics Fluids mechanics Isotropic turbulence Mathematical models Mechanics Physics Velocity Velocity distribution Velocity gradient |
| title | Short-time evolution of Lagrangian velocity gradient correlations in isotropic turbulence |
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