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Investigations on boundary temperature control analysis considering a moving body based on the adjoint variable and the fictitious domain finite element methods
Author(s) -
Kurahashi T.
Publication year - 2015
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.4908
Subject(s) - finite element method , boundary (topology) , boundary knot method , fictitious domain method , domain (mathematical analysis) , polygon mesh , mathematics , boundary value problem , mathematical analysis , singular boundary method , boundary problem , boundary element method , free boundary problem , variable (mathematics) , geometry , engineering , structural engineering
Summary This paper presents an examination of moving‐boundary temperature control problems. With a moving‐boundary problem, a finite‐element mesh is generated at each time step to express the position of the boundary. On the other hand, if an overlapped domain, that is, comprising foreground and background meshes, is prepared, the moving boundary problem can be solved without mesh generation at each time step by using the fictitious domain method. In this study, boundary temperature control problems with a moving boundary are formulated using the finite element, the adjoint variable, and the fictitious domain methods, and several numerical experiments are carried out. Copyright © 2015 John Wiley & Sons, Ltd.