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Stability of fluid–structure thermal simulations on moving grids
Author(s) -
Roe B.,
Haselbacher A.,
Geubelle P. H.
Publication year - 2007
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1416
Subject(s) - discretization , finite element method , stability (learning theory) , finite difference , finite volume method , mathematics , domain (mathematical analysis) , finite difference method , fluid–structure interaction , grid , mathematical analysis , dirichlet distribution , regular grid , mechanics , geometry , physics , thermodynamics , computer science , boundary value problem , machine learning
This article analyses the stability of a thermally coupled fluid–structure interaction problem with a moving interface. Two types of fluid and structural discretizations are investigated: finite‐difference/finite‐difference as well as the more traditional finite‐volume/finite‐element (FV/FE) configuration. In either case, the material properties and grid spacing are treated as uniform within each domain. A theoretical stability analysis and corresponding numerical tests show that greater stability is associated with the algorithm in which the fluid domain is passed a Dirichlet condition and the solid domain a von Neumann condition and that the stability of the coupled scheme may be strongly affected by the interface velocity. Furthermore, it shows that the interface velocity has a larger destabilizing effect on the FV/FE discretization than on a finite‐difference/finite‐difference discretization. Copyright © 2007 John Wiley & Sons, Ltd.