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A stabilised immersed framework on hierarchical b-spline grids for fluid-flexible structure interaction with solid–solid contact / Djordje, Peric; Wulf, Dettmer; Chennakesava, Kadapa

Computer Methods in Applied Mechanics and Engineering, Volume: 335, Pages: 472 - 489

Swansesa University Authors: Djordje, Peric, Wulf, Dettmer, Chennakesava, Kadapa

Abstract

We present a robust and efficient stabilised immersed framework for fluid–structure interaction involving incompressible fluid flow and flexible structures undergoing large deformations and also involving solid–solid contact. The efficiency of the formulation stems from the use of second-order accur...

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Published in: Computer Methods in Applied Mechanics and Engineering
ISSN: 00457825
Published: 2018
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URI: https://cronfa.swan.ac.uk/Record/cronfa39015
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The efficiency of the formulation stems from the use of second-order accurate sequential staggered solution scheme for resolving fluid-solid coupling. Mixed Galerkin formulation, along with SUPG/PSPG stabilisation, is employed to obtain the numerical solutions of the incompressible Navier&#x2013;Stokes equations. The immersed formulation is based on hierarchical b-spline grids, with unsymmetric Nitsche method employed to impose boundary as well as interface conditions on the fluid domain, while ghost-penalty operators are applied to alleviate the numerical instabilities arising due to small cut cells. The solid is modelled using linear continuum elements with finite strain formulation to facilitate the modelling of large structural deformations, and the contact between solids is modelled using the normal frictionless node-to-segment contact elements with Lagrange multipliers. In order to deal with the issue of uncovering for cut-cell based numerical schemes, a simple mapping technique is also introduced. Spatial and temporal convergence studies of the proposed scheme are performed by studying a simple example of flow over a deformable beam in cross flow. The robustness and accuracy of the proposed scheme are demonstrated by studying the benchmark examples of an oscillating beam in two-dimensions and flutter of a flexible simplified bridge deck in three-dimensions. 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spelling 2018-05-08T16:42:11.9739838 v2 39015 2018-03-12 A stabilised immersed framework on hierarchical b-spline grids for fluid-flexible structure interaction with solid–solid contact 9d35cb799b2542ad39140943a9a9da65 0000-0002-1112-301X Djordje Peric Djordje Peric true false 30bb53ad906e7160e947fa01c16abf55 0000-0003-0799-4645 Wulf Dettmer Wulf Dettmer true false de01927f8c2c4ad9dcc034c327ac8de1 0000-0001-6092-9047 Chennakesava Kadapa Chennakesava Kadapa true false 2018-03-12 EEN We present a robust and efficient stabilised immersed framework for fluid–structure interaction involving incompressible fluid flow and flexible structures undergoing large deformations and also involving solid–solid contact. The efficiency of the formulation stems from the use of second-order accurate sequential staggered solution scheme for resolving fluid-solid coupling. Mixed Galerkin formulation, along with SUPG/PSPG stabilisation, is employed to obtain the numerical solutions of the incompressible Navier–Stokes equations. The immersed formulation is based on hierarchical b-spline grids, with unsymmetric Nitsche method employed to impose boundary as well as interface conditions on the fluid domain, while ghost-penalty operators are applied to alleviate the numerical instabilities arising due to small cut cells. The solid is modelled using linear continuum elements with finite strain formulation to facilitate the modelling of large structural deformations, and the contact between solids is modelled using the normal frictionless node-to-segment contact elements with Lagrange multipliers. In order to deal with the issue of uncovering for cut-cell based numerical schemes, a simple mapping technique is also introduced. Spatial and temporal convergence studies of the proposed scheme are performed by studying a simple example of flow over a deformable beam in cross flow. The robustness and accuracy of the proposed scheme are demonstrated by studying the benchmark examples of an oscillating beam in two-dimensions and flutter of a flexible simplified bridge deck in three-dimensions. In order to demonstrate the applicability of the proposed framework to complex fluid–structure interaction problems, the proposed methodology is used to simulate the fluid–structure interaction of a check valve with flexible valve plate. Journal Article Computer Methods in Applied Mechanics and Engineering 335 472 489 00457825 Fluid–structure interaction; Hierarchical b-splines; Immersed boundary methods; Staggered scheme; Nitsche method; Check valve 1 1 2018 2018-01-01 10.1016/j.cma.2018.02.021 COLLEGE NANME Engineering COLLEGE CODE EEN Swansea University 2018-05-08T16:42:11.9739838 2018-03-12T10:22:40.6558519 College of Engineering Engineering C. Kadapa 1 W.G. Dettmer 2 D. Perić 3 Djordje Peric 0000-0002-1112-301X 4 Wulf Dettmer 0000-0003-0799-4645 5 Chennakesava Kadapa 0000-0001-6092-9047 6 0039015-12032018102518.pdf kadapa2018.pdf 2018-03-12T10:25:18.1270000 Output 1125253 application/pdf Accepted Manuscript true 2019-03-06T00:00:00.0000000 true eng
title A stabilised immersed framework on hierarchical b-spline grids for fluid-flexible structure interaction with solid–solid contact
spellingShingle A stabilised immersed framework on hierarchical b-spline grids for fluid-flexible structure interaction with solid–solid contact
Djordje, Peric
Wulf, Dettmer
Chennakesava, Kadapa
title_short A stabilised immersed framework on hierarchical b-spline grids for fluid-flexible structure interaction with solid–solid contact
title_full A stabilised immersed framework on hierarchical b-spline grids for fluid-flexible structure interaction with solid–solid contact
title_fullStr A stabilised immersed framework on hierarchical b-spline grids for fluid-flexible structure interaction with solid–solid contact
title_full_unstemmed A stabilised immersed framework on hierarchical b-spline grids for fluid-flexible structure interaction with solid–solid contact
title_sort A stabilised immersed framework on hierarchical b-spline grids for fluid-flexible structure interaction with solid–solid contact
author_id_str_mv 9d35cb799b2542ad39140943a9a9da65
30bb53ad906e7160e947fa01c16abf55
de01927f8c2c4ad9dcc034c327ac8de1
author_id_fullname_str_mv 9d35cb799b2542ad39140943a9a9da65_***_Djordje, Peric
30bb53ad906e7160e947fa01c16abf55_***_Wulf, Dettmer
de01927f8c2c4ad9dcc034c327ac8de1_***_Chennakesava, Kadapa
author Djordje, Peric
Wulf, Dettmer
Chennakesava, Kadapa
format Journal article
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publishDate 2018
institution Swansea University
issn 00457825
doi_str_mv 10.1016/j.cma.2018.02.021
college_str College of Engineering
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description We present a robust and efficient stabilised immersed framework for fluid–structure interaction involving incompressible fluid flow and flexible structures undergoing large deformations and also involving solid–solid contact. The efficiency of the formulation stems from the use of second-order accurate sequential staggered solution scheme for resolving fluid-solid coupling. Mixed Galerkin formulation, along with SUPG/PSPG stabilisation, is employed to obtain the numerical solutions of the incompressible Navier–Stokes equations. The immersed formulation is based on hierarchical b-spline grids, with unsymmetric Nitsche method employed to impose boundary as well as interface conditions on the fluid domain, while ghost-penalty operators are applied to alleviate the numerical instabilities arising due to small cut cells. The solid is modelled using linear continuum elements with finite strain formulation to facilitate the modelling of large structural deformations, and the contact between solids is modelled using the normal frictionless node-to-segment contact elements with Lagrange multipliers. In order to deal with the issue of uncovering for cut-cell based numerical schemes, a simple mapping technique is also introduced. Spatial and temporal convergence studies of the proposed scheme are performed by studying a simple example of flow over a deformable beam in cross flow. The robustness and accuracy of the proposed scheme are demonstrated by studying the benchmark examples of an oscillating beam in two-dimensions and flutter of a flexible simplified bridge deck in three-dimensions. In order to demonstrate the applicability of the proposed framework to complex fluid–structure interaction problems, the proposed methodology is used to simulate the fluid–structure interaction of a check valve with flexible valve plate.
published_date 2018-01-01T12:57:59Z
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