Modelling plane mixing layers using vortex points and sheets

Basu, AJ and Narasimha, R and Prabhu, A (1995) Modelling plane mixing layers using vortex points and sheets. In: Applied Mathematical Modelling, 19 (2). pp. 66-75.

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Abstract

We present here a critical assessment of two vortex approaches (both two-dimensional) to the modelling of turbulent mixing layers. In the first approach the flow is represented by point vortices, and in the second it is simulated as the evolution of a continuous vortex sheet composed of short linear elements or ''panels''. The comparison is based on fresh simulations using approximately the same number of elements in either model, paying due attention in both to the boundary conditions far downstream as well as those on the splitter plate from which the mixing layer issues. The comparisons show that, while both models satisfy the well-known invariants of vortex dynamics approximately to the same accuracy, the vortex panel model, although ultimately not convergent, leads to smoother roll-up and values of stresses and moments that are in closer agreement with the experiment, and has a higher computational efficiency for a given degree of convergence on moments. The point vortex model, while faster for a given number of elements, produces an unsatisfactory roll-up which (for the number of elements used) is rendered worse by the incorporation of the Van der Vooren correction for sheet curvature.

Item Type:	Journal Article
Publication:	Applied Mathematical Modelling
Publisher:	Elsevier Science
Additional Information:	Copyright of this article belongs to Elsevier Science.
Keywords:	vortex modelling;vortex sheet;point vortex;mixing layer; vortex dynamics
Department/Centre:	Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited:	01 Jun 2011 07:35
Last Modified:	01 Jun 2011 07:35
URI:	http://eprints.iisc.ac.in/id/eprint/38105

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