Journal article 1327 views 347 downloads
A stabilised immersed boundary method on hierarchical b-spline grids
Computer Methods in Applied Mechanics and Engineering, Volume: 311, Pages: 415 - 437
Swansea University Authors:
Wulf Dettmer , Chennakesava Kadapa
, Djordje Peric
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DOI (Published version): 10.1016/j.cma.2016.08.027
Abstract
In this work, an immersed boundary finite element method is proposed which is based on a hierarchically refined cartesian b-spline grid and employs the non-symmetric and penalty-free version of Nitsche’s method to enforce the boundary conditions. The strategy allows for h- and p-refinement and emplo...
Published in: | Computer Methods in Applied Mechanics and Engineering |
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ISSN: | 0045-7825 |
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2016
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URI: | https://cronfa.swan.ac.uk/Record/cronfa29743 |
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2020-10-06T11:49:47.2730918 v2 29743 2016-09-05 A stabilised immersed boundary method on hierarchical b-spline grids 30bb53ad906e7160e947fa01c16abf55 0000-0003-0799-4645 Wulf Dettmer Wulf Dettmer true false de01927f8c2c4ad9dcc034c327ac8de1 0000-0001-6092-9047 Chennakesava Kadapa Chennakesava Kadapa true false 9d35cb799b2542ad39140943a9a9da65 0000-0002-1112-301X Djordje Peric Djordje Peric true false 2016-09-05 AERO In this work, an immersed boundary finite element method is proposed which is based on a hierarchically refined cartesian b-spline grid and employs the non-symmetric and penalty-free version of Nitsche’s method to enforce the boundary conditions. The strategy allows for h- and p-refinement and employs a so-called ghost penalty term to stabilise the cut cells. An effective procedure based on hierarchical subdivision and sub-cell merging, which avoids excessive numbers of quadrature points, is used for the integration of the cut cells. A basic Laplace problem is used to demonstrate the effectiveness of the cut cell stabilisation and of the penalty-free Nitsche method as well as their impact on accuracy. The methodology is also applied to the incompressible Navier–Stokes equations, where the SUPG/PSPG stabilisation is employed. Simulations of the lid-driven cavity flow and the flow around a cylinder at low Reynolds number show the good performance of the methodology. Excessive ill-conditioning of the system matrix is robustly avoided without jeopardising the accuracy at the immersed boundaries or in the field. Journal Article Computer Methods in Applied Mechanics and Engineering 311 415 437 0045-7825 1 11 2016 2016-11-01 10.1016/j.cma.2016.08.027 COLLEGE NANME Aerospace Engineering COLLEGE CODE AERO Swansea University 2020-10-06T11:49:47.2730918 2016-09-05T12:17:46.6263120 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Wulf Dettmer 0000-0003-0799-4645 1 Chennakesava Kadapa 0000-0001-6092-9047 2 Djordje Peric 0000-0002-1112-301X 3 0029743-972016104243AM.pdf dettmer2016v3.pdf 2016-09-07T10:42:43.9970000 Output 1895532 application/pdf Accepted Manuscript true 2017-09-06T00:00:00.0000000 true eng |
title |
A stabilised immersed boundary method on hierarchical b-spline grids |
spellingShingle |
A stabilised immersed boundary method on hierarchical b-spline grids Wulf Dettmer Chennakesava Kadapa Djordje Peric |
title_short |
A stabilised immersed boundary method on hierarchical b-spline grids |
title_full |
A stabilised immersed boundary method on hierarchical b-spline grids |
title_fullStr |
A stabilised immersed boundary method on hierarchical b-spline grids |
title_full_unstemmed |
A stabilised immersed boundary method on hierarchical b-spline grids |
title_sort |
A stabilised immersed boundary method on hierarchical b-spline grids |
author_id_str_mv |
30bb53ad906e7160e947fa01c16abf55 de01927f8c2c4ad9dcc034c327ac8de1 9d35cb799b2542ad39140943a9a9da65 |
author_id_fullname_str_mv |
30bb53ad906e7160e947fa01c16abf55_***_Wulf Dettmer de01927f8c2c4ad9dcc034c327ac8de1_***_Chennakesava Kadapa 9d35cb799b2542ad39140943a9a9da65_***_Djordje Peric |
author |
Wulf Dettmer Chennakesava Kadapa Djordje Peric |
author2 |
Wulf Dettmer Chennakesava Kadapa Djordje Peric |
format |
Journal article |
container_title |
Computer Methods in Applied Mechanics and Engineering |
container_volume |
311 |
container_start_page |
415 |
publishDate |
2016 |
institution |
Swansea University |
issn |
0045-7825 |
doi_str_mv |
10.1016/j.cma.2016.08.027 |
college_str |
Faculty of Science and Engineering |
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
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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 |
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description |
In this work, an immersed boundary finite element method is proposed which is based on a hierarchically refined cartesian b-spline grid and employs the non-symmetric and penalty-free version of Nitsche’s method to enforce the boundary conditions. The strategy allows for h- and p-refinement and employs a so-called ghost penalty term to stabilise the cut cells. An effective procedure based on hierarchical subdivision and sub-cell merging, which avoids excessive numbers of quadrature points, is used for the integration of the cut cells. A basic Laplace problem is used to demonstrate the effectiveness of the cut cell stabilisation and of the penalty-free Nitsche method as well as their impact on accuracy. The methodology is also applied to the incompressible Navier–Stokes equations, where the SUPG/PSPG stabilisation is employed. Simulations of the lid-driven cavity flow and the flow around a cylinder at low Reynolds number show the good performance of the methodology. Excessive ill-conditioning of the system matrix is robustly avoided without jeopardising the accuracy at the immersed boundaries or in the field. |
published_date |
2016-11-01T03:36:13Z |
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1763751571038928896 |
score |
11.021648 |