Discrete vortex method for computation of viscous incompressible flows 13;

Dutta, PK (1994) Discrete vortex method for computation of viscous incompressible flows 13;. In: CFD: Advances and Applications, 1994, India.

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Abstract

The discrete vortex method has certain advantages over its counterparts, namely, finite difference, finite volume and finite element methods. Since the method is grid-free, the problems of grid generation for complex configurations and requirement of large number of grid points for resolution of fine scale structure do not arise here. Similarly, the far field boundary condition is here satisfied exactly, while in the other methods, the outer domain has to be extended to large distances from the region of interest so as to satisfy this condition. The most important feature of this method, however, consists of its close and direct link with many of the physical mechanisms that govern viscous flows. Quite often, the results from this method can be directly compared with the experimental flow visualization pictures so that the effectiveness of the method in a particular situation can be addressed very quickly. However, the method is not completely free from certain difficulties. To resolve fine structures at high Reynolds numbers, one here needs to use vortices with very small core. For a given finite domain, this implies that the number of vortices required to represent this region accurately is also very large. Since the computation time to calculate the convection velocities of the vortices is proportional to square of the number of vortices, a reasonable computation often requires a computing system with a large core and speed. This situation is further aggravated by the requirement of large number of vortices for simulation of viscous effect. Notwithstanding all its problems, the discrete vortex method has proved to be very successful in recent years in computing complex two-dimensional flows at high Reynolds numbers which are not easily tractable by other methods. The main aim of the present work is to describe this method in as much detail as possible keeping in mind the need of those who wish to step into this area. No attempt is made here to review the method critically, since the usefulness and limitations of the method are already well described in a number of reviews.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Computational fluid dynamics;Flow characteristics; Incompressible flow;Viscous flow;Vortices; Convection; Equations of motion;Flow visualization;Separated flow;Shear flow
Subjects: ENGINEERING > Fluid Mechanics and Thermodynamics
Division/Department: Computational and Theoretical Fluid Dynamics Division
Depositing User: Mrs Manoranjitha M D
Date Deposited: 11 Oct 2006
Last Modified: 24 May 2010 09:51
URI: http://nal-ir.nal.res.in/id/eprint/2985

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