Stability of a coupling technique for partitioned solvers in FSI applications

Authors:
Joris Degroote;Peter Bruggeman;Robby Haelterman;Jan Vierendeels
Affiliations:
Ghent University, Department of Flow, Heat and Combustion Mechanics, St.-Pietersnieuwstraat 41, B-9000 Ghent, Belgium;Ghent University, Department of Applied Physics, Jozef Plateaustraat 22, B-9000 Ghent, Belgium;Royal Military Academy, Department of Mathematics (MWMW), Renaissancelaan 30, B-1000 Brussels, Belgium;Ghent University, Department of Flow, Heat and Combustion Mechanics, St.-Pietersnieuwstraat 41, B-9000 Ghent, Belgium
Venue:
Computers and Structures
Year:
2008

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Abstract

This paper focuses on the stability of the coupling iterations in the partitioned approach to fluid-structure interaction. Previous research has shown that the number of coupling iterations increases when the time step decreases or when the structure becomes more flexible which is explained here by Fourier error analysis of the unsteady, incompressible flow in an elastic tube. Substituting a linearized model of the structural solver into the flow solver makes the coupling more stable but is impracticable if the flow solver is a black box. Therefore the coupling iterations are stabilized by coupling with reduced-order models and Aitken underrelaxation.