کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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499722 | 863057 | 2008 | 15 صفحه PDF | دانلود رایگان |
The fictitious domain, finite cell and fat boundary method, which are commonly adopted for fluid–structure interaction (FSI) problems, have been considered and implemented in a spectral/hp element code for a 1D test problem. The finite cell and fat boundary method are extended for the general case of a deformable solid in a fluid, and analysed. Furthermore, a new implicit variation of the fat boundary method is proposed. The 1D framework allows for a clear and detailed analysis of the different approaches and to highlight the similarities and differences between the methods. Exponential p-convergence, which is typical for smooth solutions discretised with spectral/hp elements, is demonstrated for all methods except the classic fictitious domain formulation. This overview can be considered as a starting point to study the capability, advantages and disadvantages of these methods for fluid–structure interaction problems in a more realistic setting and in higher dimensions.
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 197, Issues 25–28, 15 April 2008, Pages 2275–2289