Journal article 1431 views 374 downloads
A stabilised immersed boundary method on hierarchical b-spline grids
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Chennakesava Kadapa ,
Djordje Peric
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 |
| Published: |
2016
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa29743 |
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| 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 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. |
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| College: |
Faculty of Science and Engineering |
| Start Page: |
415 |
| End Page: |
437 |