Imperial College London


Faculty of EngineeringDepartment of Aeronautics

Professor of Computational Fluid Mechanics



+44 (0)20 7594 5052s.sherwin Website




313BCity and Guilds BuildingSouth Kensington Campus






BibTex format

author = {Vos, PEJ and van, Loon R and Sherwin, SJ},
pages = {2275--2289},
title = {A comparison of fictitious domain methods appropriate for spectral/hp element discretisations},
year = {2008}

RIS format (EndNote, RefMan)

AB - The fictitious domain, finite cell and fat boundary method, which are commonly adopted for fluid-structure interaction (FSI) problems, have been 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. (C) 2007 Elsevier B.V. All rights reserved.
AU - Vos,PEJ
AU - van,Loon R
AU - Sherwin,SJ
EP - 2289
PY - 2008///
SP - 2275
TI - A comparison of fictitious domain methods appropriate for spectral/hp element discretisations
ER -