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A stabilised immersed boundary method on hierarchical b-spline grids for fluid–rigid body interaction with solid–solid contact

C. Kadapa, Wulf Dettmer Orcid Logo, Djordje Peric Orcid Logo, Chennakesava Kadapa Orcid Logo

Computer Methods in Applied Mechanics and Engineering, Volume: 318, Pages: 242 - 269

Swansea University Authors: Wulf Dettmer Orcid Logo, Djordje Peric Orcid Logo, Chennakesava Kadapa Orcid Logo

Abstract

An accurate, efficient and robust numerical scheme is presented for the simulation of the interaction between flexibly-supported rigid bodies and incompressible fluid flow with topology changes and solid–solid contact. The solution of the incompressible Navier–Stokes equations is approximated by emp...

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Published in: Computer Methods in Applied Mechanics and Engineering
ISSN: 0045-7825
Published: 2017
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URI: https://cronfa.swan.ac.uk/Record/cronfa31832
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spelling 2020-10-06T11:48:35.5264705 v2 31832 2017-01-31 A stabilised immersed boundary method on hierarchical b-spline grids for fluid–rigid body interaction with solid–solid contact 30bb53ad906e7160e947fa01c16abf55 0000-0003-0799-4645 Wulf Dettmer Wulf Dettmer true false 9d35cb799b2542ad39140943a9a9da65 0000-0002-1112-301X Djordje Peric Djordje Peric true false de01927f8c2c4ad9dcc034c327ac8de1 0000-0001-6092-9047 Chennakesava Kadapa Chennakesava Kadapa true false 2017-01-31 AERO An accurate, efficient and robust numerical scheme is presented for the simulation of the interaction between flexibly-supported rigid bodies and incompressible fluid flow with topology changes and solid–solid contact. The solution of the incompressible Navier–Stokes equations is approximated by employing a stabilised formulation on Cartesian grids discretised with hierarchical b-splines. The solid is modelled as a rigid body and represented by linear segments along its boundary. Kinematic conditions along the fluid-rigid body interface are enforced weakly using Nitsche’s method, while ghost penalty operators are employed to avoid excessive ill-conditioning of the system matrix arising from small cut cells. A staggered scheme is used for resolving the coupled fluid-rigid body interaction. The contact between moving or moving and fixed solid bodies is modelled with Lagrange multipliers. The excellent performance and wide range of applicability of the proposed scheme are demonstrated in a number of benchmark tests as well as industrially relevant model problems. The examples cover the galloping phenomena, particulate flow, hydraulic check valves and a model turbine. Journal Article Computer Methods in Applied Mechanics and Engineering 318 242 269 0045-7825 Fluid-rigid body interaction; Hierarchical b-splines; Immersed boundary methods; Staggered scheme; Particulate flows; Check valve 31 12 2017 2017-12-31 10.1016/j.cma.2017.01.024 COLLEGE NANME Aerospace Engineering COLLEGE CODE AERO Swansea University 2020-10-06T11:48:35.5264705 2017-01-31T14:20:23.9767033 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering C. Kadapa 1 Wulf Dettmer 0000-0003-0799-4645 2 Djordje Peric 0000-0002-1112-301X 3 Chennakesava Kadapa 0000-0001-6092-9047 4 0031832-31012017142416.pdf kadapa2017.pdf 2017-01-31T14:24:16.0000000 Output 1468187 application/pdf Accepted Manuscript true 2018-01-30T00:00:00.0000000 false
title A stabilised immersed boundary method on hierarchical b-spline grids for fluid–rigid body interaction with solid–solid contact
spellingShingle A stabilised immersed boundary method on hierarchical b-spline grids for fluid–rigid body interaction with solid–solid contact
Wulf Dettmer
Djordje Peric
Chennakesava Kadapa
title_short A stabilised immersed boundary method on hierarchical b-spline grids for fluid–rigid body interaction with solid–solid contact
title_full A stabilised immersed boundary method on hierarchical b-spline grids for fluid–rigid body interaction with solid–solid contact
title_fullStr A stabilised immersed boundary method on hierarchical b-spline grids for fluid–rigid body interaction with solid–solid contact
title_full_unstemmed A stabilised immersed boundary method on hierarchical b-spline grids for fluid–rigid body interaction with solid–solid contact
title_sort A stabilised immersed boundary method on hierarchical b-spline grids for fluid–rigid body interaction with solid–solid contact
author_id_str_mv 30bb53ad906e7160e947fa01c16abf55
9d35cb799b2542ad39140943a9a9da65
de01927f8c2c4ad9dcc034c327ac8de1
author_id_fullname_str_mv 30bb53ad906e7160e947fa01c16abf55_***_Wulf Dettmer
9d35cb799b2542ad39140943a9a9da65_***_Djordje Peric
de01927f8c2c4ad9dcc034c327ac8de1_***_Chennakesava Kadapa
author Wulf Dettmer
Djordje Peric
Chennakesava Kadapa
author2 C. Kadapa
Wulf Dettmer
Djordje Peric
Chennakesava Kadapa
format Journal article
container_title Computer Methods in Applied Mechanics and Engineering
container_volume 318
container_start_page 242
publishDate 2017
institution Swansea University
issn 0045-7825
doi_str_mv 10.1016/j.cma.2017.01.024
college_str Faculty of Science and Engineering
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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 Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering
document_store_str 1
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description An accurate, efficient and robust numerical scheme is presented for the simulation of the interaction between flexibly-supported rigid bodies and incompressible fluid flow with topology changes and solid–solid contact. The solution of the incompressible Navier–Stokes equations is approximated by employing a stabilised formulation on Cartesian grids discretised with hierarchical b-splines. The solid is modelled as a rigid body and represented by linear segments along its boundary. Kinematic conditions along the fluid-rigid body interface are enforced weakly using Nitsche’s method, while ghost penalty operators are employed to avoid excessive ill-conditioning of the system matrix arising from small cut cells. A staggered scheme is used for resolving the coupled fluid-rigid body interaction. The contact between moving or moving and fixed solid bodies is modelled with Lagrange multipliers. The excellent performance and wide range of applicability of the proposed scheme are demonstrated in a number of benchmark tests as well as industrially relevant model problems. The examples cover the galloping phenomena, particulate flow, hydraulic check valves and a model turbine.
published_date 2017-12-31T03:38:55Z
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