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Multiple-contour-dynamic simulation of eddy scales in the plane shear layer

Jacobs, P. A. and Pullin, D. I. (1989) Multiple-contour-dynamic simulation of eddy scales in the plane shear layer. Journal of Fluid Mechanics, 199 . pp. 89-124. ISSN 0022-1120. doi:10.1017/s0022112089000303.

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The method of contour dynamics (CD) is applied to several inviscid prototype flows typical of the motions found in the transition region of the free shear layer. Examples of the interaction between the fundamental streamwise-layer perturbation and its first subharmonic are presented that illustrate the events of pairing and tearing of two rolled-up cores and also the coalescence of three rolled-up cores. The present simulations of the temporally unstable two-dimensional layer, at effectively infinite Reynolds number, support the hypothesis that the dynamics of the large-scale roll-up is only weakly dependent on Reynolds number. However, we find fine-scale structure that is not apparent in previous simulations at moderate Reynolds number. Spiral filaments of rotational fluid wrap around the rolled-up vortex cores producing ‘spiky’ vorticity distributions together with the entanglement of large quantities of irrotational fluid into the layer. Simulations proceeded only until the first such event because we were unable to resolve the fine detail generated subsequently. The inclusion of prescribed vortex stretching parallel to the vortex lines is found to accelerate the initial roll-up and to enhance the production of spiral vortex filaments. In the fundamental-subharmonic interaction, vortex stretching slows but does not prevent pairing.

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Additional Information:© 1989 Cambridge University Press. (Received 8 December 1987 and in revised form 23 June 1988) Part of this work was supported by the Australian Research Grants Scheme under grant No. F8315013 I. P. A. J. was supported by an Australian Commonwealth Postgraduate Research Award. Computing time was given by the CSIRO. on their Cyber 205.
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Australian Research Grants CommitteeF 8315031 I
Australian Commonwealth Postgraduate Research AwardUNSPECIFIED
Record Number:CaltechAUTHORS:20181120-153100596
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Official Citation:Jacobs, P., & Pullin, D. (1989). Multiple-contour-dynamic simulation of eddy scales in the plane shear layer. Journal of Fluid Mechanics, 199, 89-124. doi:10.1017/S0022112089000303
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:91104
Deposited By: George Porter
Deposited On:21 Nov 2018 16:00
Last Modified:16 Nov 2021 03:38

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