A combined boundary integral and vortex method for the numerical study of three-dimensional fluid flow systems
Vortex methods using vorticity–velocity formulations have become an increasingly 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 co...
| Main Authors: | , |
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| Format: | Journal Article |
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Taylor & Francis Ltd
2012
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| Online Access: | http://hdl.handle.net/20.500.11937/17525 |
| _version_ | 1848749489337139200 |
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| author | Khatir, Z. Lucey, Anthony |
| author_facet | Khatir, Z. Lucey, Anthony |
| author_sort | Khatir, Z. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | Vortex methods using vorticity–velocity formulations have become an increasingly 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. For validation purposes, vortical flow past a sphere and past a flat plate are considered, for which the commonly used method of images is available. Results of near-wall boundary-layer flow simulations are then presented as an illustration of the numerical scheme. The importance of hairpin vortices is highlighted. Finally, results on wall compliance fluid flow are displayed emphasizing the versatility of the numerical method. |
| first_indexed | 2025-11-14T07:21:45Z |
| format | Journal Article |
| id | curtin-20.500.11937-17525 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:21:45Z |
| publishDate | 2012 |
| publisher | Taylor & Francis Ltd |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-175252017-09-13T15:44:14Z A combined boundary integral and vortex method for the numerical study of three-dimensional fluid flow systems Khatir, Z. Lucey, Anthony boundary integral method turbulence flow structures three-dimensional grid-free fluid flow simulation near-wall boundary layer discrete vortex method Vortex methods using vorticity–velocity formulations have become an increasingly 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. For validation purposes, vortical flow past a sphere and past a flat plate are considered, for which the commonly used method of images is available. Results of near-wall boundary-layer flow simulations are then presented as an illustration of the numerical scheme. The importance of hairpin vortices is highlighted. Finally, results on wall compliance fluid flow are displayed emphasizing the versatility of the numerical method. 2012 Journal Article http://hdl.handle.net/20.500.11937/17525 10.1080/00207160.2012.695354 Taylor & Francis Ltd restricted |
| spellingShingle | boundary integral method turbulence flow structures three-dimensional grid-free fluid flow simulation near-wall boundary layer discrete vortex method Khatir, Z. Lucey, Anthony A combined boundary integral and vortex method for the numerical study of three-dimensional fluid flow systems |
| title | A combined boundary integral and vortex method for the numerical study of three-dimensional fluid flow systems |
| title_full | A combined boundary integral and vortex method for the numerical study of three-dimensional fluid flow systems |
| title_fullStr | A combined boundary integral and vortex method for the numerical study of three-dimensional fluid flow systems |
| title_full_unstemmed | A combined boundary integral and vortex method for the numerical study of three-dimensional fluid flow systems |
| title_short | A combined boundary integral and vortex method for the numerical study of three-dimensional fluid flow systems |
| title_sort | combined boundary integral and vortex method for the numerical study of three-dimensional fluid flow systems |
| topic | boundary integral method turbulence flow structures three-dimensional grid-free fluid flow simulation near-wall boundary layer discrete vortex method |
| url | http://hdl.handle.net/20.500.11937/17525 |