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A simple redistribution vortex method (with accurate body forces)

A simple redistribution vortex method (with accurate body forces)
A simple redistribution vortex method (with accurate body forces)
A circulation redistribution scheme for viscous flow is presented. Unlike other redistribution methods, it operates by transferring the circulation to a set of fixed nodes rather than neighbouring vortex elements. A new distribution of vortex elements can then be constructed from the circulation on the nodes. The solution to the redistribution problem can be written explicitly as a set of algebraic formulae, producing a method which is simple and efficient. The scheme works with the circulation contained in the vortex elements only, and does not require overlap of vortex cores. With a body fitted redistribution mesh, smooth and accurate estimates of the pointwise surface forces can be obtained. The ability of the scheme to produce high resolution solution is demonstrated using a series of test problems
1-27
Tutty, O.R.
c9ba0b98-4790-4a72-b5b7-09c1c6e20375
Tutty, O.R.
c9ba0b98-4790-4a72-b5b7-09c1c6e20375

Tutty, O.R. (2010) A simple redistribution vortex method (with accurate body forces). Pre-print, 1-27.

Record type: Article

Abstract

A circulation redistribution scheme for viscous flow is presented. Unlike other redistribution methods, it operates by transferring the circulation to a set of fixed nodes rather than neighbouring vortex elements. A new distribution of vortex elements can then be constructed from the circulation on the nodes. The solution to the redistribution problem can be written explicitly as a set of algebraic formulae, producing a method which is simple and efficient. The scheme works with the circulation contained in the vortex elements only, and does not require overlap of vortex cores. With a body fitted redistribution mesh, smooth and accurate estimates of the pointwise surface forces can be obtained. The ability of the scheme to produce high resolution solution is demonstrated using a series of test problems

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e-pub ahead of print date: 1 September 2010
Organisations: Faculty of Engineering and the Environment

Identifiers

Local EPrints ID: 337775
URI: http://eprints.soton.ac.uk/id/eprint/337775
PURE UUID: cc911f9d-80ff-4b61-8eb9-555f8fa3ecc8

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Date deposited: 03 May 2012 14:14
Last modified: 14 Mar 2024 10:57

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Contributors

Author: O.R. Tutty

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