Strong coupling of partitioned fluid-structure interaction problems with reduced order models
J.A. Vierendeels
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Abstract
The paper describes a new and powerful technique to solve strongly coupled fluid-structure interaction (FSI) problems with partitioned solvers. In order to achieve strong coupling approximate Jacobians of the fluid and structural solvers have to be known. In the proposed method the response to applied displacement and pressure modes are used to build up reduced order models for respectively the fluid and structural solver during the coupling process. The Jacobians of these reduced order models are used to obtain implicit coupling of the reduced order models, finally resulting in an implicit coupling of the partitioned solvers. The method is applied to the flow in the left ventricle during the filling and emptying phase. Two to three modes are needed, depending on the moment in the heart cycle, to reduce the residual by four orders of magnitude and to achieve a fully coupled solution at each time step.