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The simulation of incompressible flow using the artificial compressibility method. / Saeid Reza Sabbagh-Yazdi

Swansea University Author: Saeid Reza Sabbagh-Yazdi

Abstract

In this work an algorithm is developed for simulating incompressible steady flow on two and three-dimensional unstructured meshes. The Navier-Stokes equations are briefly reviewed as the basic governing equation for fluid flow. Using this set of equations, in the limit of incompressible flow, the pr...

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Published: 1997
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
URI: https://cronfa.swan.ac.uk/Record/cronfa42390
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spelling 2018-08-02T16:24:29.0725813 v2 42390 2018-08-02 The simulation of incompressible flow using the artificial compressibility method. 9f91b9500e909cb6d3ccd107b843d0b6 NULL Saeid Reza Sabbagh-Yazdi Saeid Reza Sabbagh-Yazdi true true 2018-08-02 In this work an algorithm is developed for simulating incompressible steady flow on two and three-dimensional unstructured meshes. The Navier-Stokes equations are briefly reviewed as the basic governing equation for fluid flow. Using this set of equations, in the limit of incompressible flow, the problem of imposing the time independent continuity equation on the momentum equations arises. This difficulty can be removed by employing the Artificial Compressibility approach. This approach modifies the continuity equation by adding a pseudo pressure time derivative. This modification makes the set of equations well conditioned for numerical solution. If the set of modified equations is used for the solution of steady state problems, the added pressure derivative tends to zero and the set of equations reduces to the steady state incompressible Navier-Stokes equations. The cell-vertex finite volume method is employed for solving the modified equations on unstructured triangular and tetrahedral meshes. The principles of central difference space discretisation are described and the basic ideas behind adding artificial dissipation term are reviewed. A normalisation procedure for the computation of the artificial dissipation term is adopted. Two different formulations based upon a cell-vertex finite volume method and a Galerkin finite element method for the discretisation of the viscous terms on unstructured triangular meshes are employed in two and three dimensions. A modification to the finite volume formulation is introduced for improving accuracy on unstructured grids. The issues relating to multi-stage time stepping, boundary conditions and some techniques for increasing computational efficiency are described. A general review of several methods for generating regular and irregular unstructured triangular and tetrahedral meshes are presented. The proposed algorithm is validated by solving several inviscid and viscous two-dimensional test cases. Extension of the algorithm to three dimensions are studied by using some further benchmark examples. Some engineering applications are considered to present the ability of the developed flow solver to simulate more complicated real world problems. Finally, some conclusions are drawn and a few guidelines for further research work are suggested. E-Thesis Civil engineering.;Fluid mechanics. 31 12 1997 1997-12-31 COLLEGE NANME Engineering COLLEGE CODE Swansea University Doctoral Ph.D 2018-08-02T16:24:29.0725813 2018-08-02T16:24:29.0725813 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Saeid Reza Sabbagh-Yazdi NULL 1 0042390-02082018162450.pdf 10798098.pdf 2018-08-02T16:24:50.6470000 Output 12089487 application/pdf E-Thesis true 2018-08-02T16:24:50.6470000 false
title The simulation of incompressible flow using the artificial compressibility method.
spellingShingle The simulation of incompressible flow using the artificial compressibility method.
Saeid Reza Sabbagh-Yazdi
title_short The simulation of incompressible flow using the artificial compressibility method.
title_full The simulation of incompressible flow using the artificial compressibility method.
title_fullStr The simulation of incompressible flow using the artificial compressibility method.
title_full_unstemmed The simulation of incompressible flow using the artificial compressibility method.
title_sort The simulation of incompressible flow using the artificial compressibility method.
author_id_str_mv 9f91b9500e909cb6d3ccd107b843d0b6
author_id_fullname_str_mv 9f91b9500e909cb6d3ccd107b843d0b6_***_Saeid Reza Sabbagh-Yazdi
author Saeid Reza Sabbagh-Yazdi
author2 Saeid Reza Sabbagh-Yazdi
format E-Thesis
publishDate 1997
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 work an algorithm is developed for simulating incompressible steady flow on two and three-dimensional unstructured meshes. The Navier-Stokes equations are briefly reviewed as the basic governing equation for fluid flow. Using this set of equations, in the limit of incompressible flow, the problem of imposing the time independent continuity equation on the momentum equations arises. This difficulty can be removed by employing the Artificial Compressibility approach. This approach modifies the continuity equation by adding a pseudo pressure time derivative. This modification makes the set of equations well conditioned for numerical solution. If the set of modified equations is used for the solution of steady state problems, the added pressure derivative tends to zero and the set of equations reduces to the steady state incompressible Navier-Stokes equations. The cell-vertex finite volume method is employed for solving the modified equations on unstructured triangular and tetrahedral meshes. The principles of central difference space discretisation are described and the basic ideas behind adding artificial dissipation term are reviewed. A normalisation procedure for the computation of the artificial dissipation term is adopted. Two different formulations based upon a cell-vertex finite volume method and a Galerkin finite element method for the discretisation of the viscous terms on unstructured triangular meshes are employed in two and three dimensions. A modification to the finite volume formulation is introduced for improving accuracy on unstructured grids. The issues relating to multi-stage time stepping, boundary conditions and some techniques for increasing computational efficiency are described. A general review of several methods for generating regular and irregular unstructured triangular and tetrahedral meshes are presented. The proposed algorithm is validated by solving several inviscid and viscous two-dimensional test cases. Extension of the algorithm to three dimensions are studied by using some further benchmark examples. Some engineering applications are considered to present the ability of the developed flow solver to simulate more complicated real world problems. Finally, some conclusions are drawn and a few guidelines for further research work are suggested.
published_date 1997-12-31T03:52:52Z
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score 11.012678

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