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The characteristic based split (CBS) scheme for laminar and turbulent incompressible flow simulations. / Chun-Bin Liu
Swansea University Author: Chun-Bin Liu
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Abstract
In this thesis, the matrix free Characteristic Based SpHt (CBS) scheme based on an artificial compressibility (AC) method and the semi-implicit CBS scheme are presented for laminar and turbulent incompressible flows. Numerical simulations of steady and unsteady state incompressible flow problems hav...
Published: |
2005
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Institution: | Swansea University |
Degree level: | Doctoral |
Degree name: | Ph.D |
URI: | https://cronfa.swan.ac.uk/Record/cronfa42736 |
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2018-08-02T16:24:30.2894046 v2 42736 2018-08-02 The characteristic based split (CBS) scheme for laminar and turbulent incompressible flow simulations. 750548d0a09a9a4953404fb35aafd94a NULL Chun-Bin Liu Chun-Bin Liu true true 2018-08-02 In this thesis, the matrix free Characteristic Based SpHt (CBS) scheme based on an artificial compressibility (AC) method and the semi-implicit CBS scheme are presented for laminar and turbulent incompressible flows. Numerical simulations of steady and unsteady state incompressible flow problems have been carried out on structured and unstructured meshes of linear triangular and tetrahedral elements. The standard Galerkin method was used for spatial discretization of the governing equations in their semi-discrete CBS form. Four different Reynolds average Navier-Stokes (RANS) turbulence models have been studied in detail. They are the one-equation linear kappa-l model of Wolfshtein, the one-equation Spalart-Allmaras model, the two-equation linear kappa-epsilon model with two different low Reynolds number treatments (Lam-Bremhorst damping functions and Fan- Lakshminarayana-Barnett damping functions), and the two-equation nonlinear near-wall kappa-epsilon model with Kimura-Hosoda's parameters. The results of standard steady flow in a channel, inside a lid-driven cavity, over a backward facing step, around a stationary sphere and through an upper human airway are adequately predicted. In addition to steady state flow problems, unsteady Reynolds-averaged Navier-Stokes (URANS) model was employed to solve vortex shedding behind a circular cylinder using a dual-time stepping technique. The two- and three-dimensional results presented show that both the CBS-AC matrix free procedure and semi-implicit CBS formulation are accurate and efficient. E-Thesis Mechanical engineering.;Fluid mechanics. 31 12 2005 2005-12-31 COLLEGE NANME Engineering COLLEGE CODE Swansea University Doctoral Ph.D 2018-08-02T16:24:30.2894046 2018-08-02T16:24:30.2894046 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Chun-Bin Liu NULL 1 0042736-02082018162517.pdf 10807505.pdf 2018-08-02T16:25:17.9470000 Output 17464230 application/pdf E-Thesis true 2018-08-02T16:25:17.9470000 false |
title |
The characteristic based split (CBS) scheme for laminar and turbulent incompressible flow simulations. |
spellingShingle |
The characteristic based split (CBS) scheme for laminar and turbulent incompressible flow simulations. Chun-Bin Liu |
title_short |
The characteristic based split (CBS) scheme for laminar and turbulent incompressible flow simulations. |
title_full |
The characteristic based split (CBS) scheme for laminar and turbulent incompressible flow simulations. |
title_fullStr |
The characteristic based split (CBS) scheme for laminar and turbulent incompressible flow simulations. |
title_full_unstemmed |
The characteristic based split (CBS) scheme for laminar and turbulent incompressible flow simulations. |
title_sort |
The characteristic based split (CBS) scheme for laminar and turbulent incompressible flow simulations. |
author_id_str_mv |
750548d0a09a9a4953404fb35aafd94a |
author_id_fullname_str_mv |
750548d0a09a9a4953404fb35aafd94a_***_Chun-Bin Liu |
author |
Chun-Bin Liu |
author2 |
Chun-Bin Liu |
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E-Thesis |
publishDate |
2005 |
institution |
Swansea University |
college_str |
Faculty of Science and Engineering |
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facultyofscienceandengineering |
hierarchy_top_title |
Faculty of Science and Engineering |
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
department_str |
School of Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised |
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description |
In this thesis, the matrix free Characteristic Based SpHt (CBS) scheme based on an artificial compressibility (AC) method and the semi-implicit CBS scheme are presented for laminar and turbulent incompressible flows. Numerical simulations of steady and unsteady state incompressible flow problems have been carried out on structured and unstructured meshes of linear triangular and tetrahedral elements. The standard Galerkin method was used for spatial discretization of the governing equations in their semi-discrete CBS form. Four different Reynolds average Navier-Stokes (RANS) turbulence models have been studied in detail. They are the one-equation linear kappa-l model of Wolfshtein, the one-equation Spalart-Allmaras model, the two-equation linear kappa-epsilon model with two different low Reynolds number treatments (Lam-Bremhorst damping functions and Fan- Lakshminarayana-Barnett damping functions), and the two-equation nonlinear near-wall kappa-epsilon model with Kimura-Hosoda's parameters. The results of standard steady flow in a channel, inside a lid-driven cavity, over a backward facing step, around a stationary sphere and through an upper human airway are adequately predicted. In addition to steady state flow problems, unsteady Reynolds-averaged Navier-Stokes (URANS) model was employed to solve vortex shedding behind a circular cylinder using a dual-time stepping technique. The two- and three-dimensional results presented show that both the CBS-AC matrix free procedure and semi-implicit CBS formulation are accurate and efficient. |
published_date |
2005-12-31T03:53:33Z |
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1763752660989640704 |
score |
11.021648 |