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. Applied Mathematical Modelling, 19 (2). pp. 66-75.

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    We present here a critical assessment of two vortex dynamical approaches (both two-dimensional) to the modelling of turbulent mixing layers. In the first approach the flow is represented by point vortices, 13; and in the second it is simulated as the evolution of a continuous vortex sheet composed of short linear elements or quot;panels. quot;quot; The comparison is based on fresh simulations using approximately the same number of elements in either model, paying 9 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.13;

    Item Type: Journal Article
    Additional Information: Copyright for this article belongs Elsevier
    Uncontrolled Keywords: Vortex modelling;Vortex sheet;Point vortex;Mixing layer;Vortex dynamics
    Subjects: ENGINEERING > Engineering (General)
    Division/Department: Computational and Theoretical Fluid Dynamics Division, Other, Other
    Depositing User: Mr. N A
    Date Deposited: 28 Mar 2008
    Last Modified: 03 May 2012 10:30

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