Eugenio Aulisa, Sandro Manservisi, Padmanabhan Seshaiyer
Abstract:
Solving complex coupled processes involving
fluid-structure-thermal interactions is a challenging problem in
computational sciences and engineering. Currently there exist
numerous public-domain and commercial codes available in the area
of Computational Fluid Dynamics (CFD), Computational Structural
Dynamics (CSD) and Computational Thermodynamics (CTD). Different
groups specializing in modelling individual process such as CSD,
CFD, CTD often come together to solve a complex coupled
application. Direct numerical simulation of the non-linear
equations for even the most simplified fluid-structure-thermal
interaction (FSTI) model depends on the convergence of iterative
solvers which in turn rely heavily on the properties of the
coupled system. The purpose of this paper is to introduce a
flexible multilevel algorithm with finite elements that can be used
to study a coupled FSTI. The method relies on decomposing
the complex global domain, into several local sub-domains,
solving smaller problems over these sub-domains and then gluing
back the local solution in an efficient and accurate fashion to
yield the global solution. Our numerical results suggest that
the proposed solution methodology is robust and reliable.
Published April 15, 2009.
Math Subject Classifications: 65N30, 65N15.
Key Words: Fluid-structure-thermal interaction;
domain decomposition; multigrid solver.
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Eugenio Aulisa Mathematics and Statistics, Texas Tech University Lubbock, TX 79409, USA email: eugenio.aulisa@ttu.edu |
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Sandro Manservisi DIENCA-Lab. di Montecuccolino Via dei Colli 16, 40136 Bologna, Italy email: sandro.manservisi@mail.ing.unibo.it |
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Padmanabhan Seshaiyer Mathematical Sciences, George Mason University Fairfax, VA 22030, USA email: pseshaiy@gmu.edu |
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