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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

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...

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Published: 2005
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
URI: https://cronfa.swan.ac.uk/Record/cronfa42736
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spelling 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
format E-Thesis
publishDate 2005
institution Swansea University
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title 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
document_store_str 1
active_str 0
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
_version_ 1763752660989640704
score 11.021648

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