A combined boundary integral and vortex method for three dimensional grid-free flow simulation

Vortex methods using vorticity-velocity formualtions have become an increasingsly powerful and popular means of studying complex fluid flow systems. The problem of combining an integral equation method and grid-free discrete vortex method (DVM) when studying three dimensional wall-bounded flows is...

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Bibliographic Details
Main Authors: Khatir, Z., Lucey, Anthony
Other Authors: D Lesnic
Format: Conference Paper
Published: Leeds University Press 2011
Online Access:http://hdl.handle.net/20.500.11937/36188
Description
Summary:Vortex methods using vorticity-velocity formualtions have become an increasingsly powerful and popular means of studying complex fluid flow systems. The problem of combining an integral equation method and grid-free discrete vortex method (DVM) when studying three dimensional wall-bounded flows is considered. While the normal boundary condition is satisfied by means of a boundary integral equation (BIE), we also consider the problem of recovering pressure from given vorticity and velocity fields when using Lagrangian DVMs in terms of a BIE. Results of near-wall boundary-layer flow simulations are then presented as an illustration of the numerical scheme.