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Finite element modelling of three dimensional fluid-structure interaction. / Richard Taylor

Swansea University Author: Richard Taylor

Abstract

This work is focused on the numerical modelling of fluid-structure interaction in three dimensions. Both internal and external laminar flow around flexible bodies are considered. The fluid flow simulated is based on the incompressible Navier-Stokes equations and the general focus is on laminar Newto...

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Published: 2013
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
URI: https://cronfa.swan.ac.uk/Record/cronfa42308
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first_indexed 2018-08-02T18:54:23Z
last_indexed 2018-08-03T10:09:48Z
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spelling 2018-08-02T16:24:28.7761897 v2 42308 2018-08-02 Finite element modelling of three dimensional fluid-structure interaction. 693c821fd6de7aa0d1f72aae48beca02 NULL Richard Taylor Richard Taylor true true 2018-08-02 This work is focused on the numerical modelling of fluid-structure interaction in three dimensions. Both internal and external laminar flow around flexible bodies are considered. The fluid flow simulated is based on the incompressible Navier-Stokes equations and the general focus is on laminar Newtonian flow. The streamline upwind/ pressure stabilising Petrov-Galerkin (SUPG/PSPG) method is employed to achieve a stable low order finite element discretisation of the fluid, while the solid is discretised spatially by a standard Galerkin finite element approach. The behavior of the solid is governed by Neo-Hooke elasticity. For temporal discretisation the discrete implicit generalised-alpha method is employed for both the fluid and the solid domains. The motion of the fluid mesh is solved using an arbitrary Lagrangian-Eulerian (ALE) scheme employing a nonlinear pseudo-elastic mesh update method. The fluid-solid interface is modelled using a finite element interpolation method that allows for non-matching meshes and satisfies the required conservation laws. The resulting sets of fully implicit strongly coupled nonlinear equations are then decomposed into a general framework consisting of fluid, interface and solid domains. These equations are then solved using different solution techniques consisting of strongly coupled monolithic Newton and block Gauss-Seidel methods as well as a weakly coupled novel staggered scheme. These solvers are employed to solve a number of three dimensional numerical examples consisting of: External flow: o a soft elastic beam fixed at both ends o a thin cantilever plate. E-Thesis Applied mathematics.;Fluid mechanics. 31 12 2013 2013-12-31 COLLEGE NANME Engineering COLLEGE CODE Swansea University Doctoral Ph.D 2018-08-02T16:24:28.7761897 2018-08-02T16:24:28.7761897 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Richard Taylor NULL 1 0042308-02082018162444.pdf 10798016.pdf 2018-08-02T16:24:44.2670000 Output 11392997 application/pdf E-Thesis true 2018-08-02T16:24:44.2670000 false
title Finite element modelling of three dimensional fluid-structure interaction.
spellingShingle Finite element modelling of three dimensional fluid-structure interaction.
Richard Taylor
title_short Finite element modelling of three dimensional fluid-structure interaction.
title_full Finite element modelling of three dimensional fluid-structure interaction.
title_fullStr Finite element modelling of three dimensional fluid-structure interaction.
title_full_unstemmed Finite element modelling of three dimensional fluid-structure interaction.
title_sort Finite element modelling of three dimensional fluid-structure interaction.
author_id_str_mv 693c821fd6de7aa0d1f72aae48beca02
author_id_fullname_str_mv 693c821fd6de7aa0d1f72aae48beca02_***_Richard Taylor
author Richard Taylor
author2 Richard Taylor
format E-Thesis
publishDate 2013
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 This work is focused on the numerical modelling of fluid-structure interaction in three dimensions. Both internal and external laminar flow around flexible bodies are considered. The fluid flow simulated is based on the incompressible Navier-Stokes equations and the general focus is on laminar Newtonian flow. The streamline upwind/ pressure stabilising Petrov-Galerkin (SUPG/PSPG) method is employed to achieve a stable low order finite element discretisation of the fluid, while the solid is discretised spatially by a standard Galerkin finite element approach. The behavior of the solid is governed by Neo-Hooke elasticity. For temporal discretisation the discrete implicit generalised-alpha method is employed for both the fluid and the solid domains. The motion of the fluid mesh is solved using an arbitrary Lagrangian-Eulerian (ALE) scheme employing a nonlinear pseudo-elastic mesh update method. The fluid-solid interface is modelled using a finite element interpolation method that allows for non-matching meshes and satisfies the required conservation laws. The resulting sets of fully implicit strongly coupled nonlinear equations are then decomposed into a general framework consisting of fluid, interface and solid domains. These equations are then solved using different solution techniques consisting of strongly coupled monolithic Newton and block Gauss-Seidel methods as well as a weakly coupled novel staggered scheme. These solvers are employed to solve a number of three dimensional numerical examples consisting of: External flow: o a soft elastic beam fixed at both ends o a thin cantilever plate.
published_date 2013-12-31T03:52:43Z
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score 10.997933

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