He, Tao
(2018).
Hybrid interface conditions for partitioned fluid-structure interaction simulations.
University of Birmingham.
Ph.D.
Abstract
This thesis proposes the combined interface boundary condition (CIBC) method for fluid-structure interaction (FSI) within the arbitrary Lagrangian-Eulerian finite element framework. The CIBC method employs a Gauss-Seidel-like procedure to transform the traditional interface conditions into the velocity and traction corrections in a mixed manner. A free parameter is adopted to control the effect of such a treatment on the interface. Nevertheless, the restricted use of the CIBC method is realized after recalling its recent development. Then the thorough derivation of the CIBC method are presented, providing the principle of two improved formulations of the method. The improvements are established as: (i) the method is reformulated by using the complete fluid stress tensor; (ii) the structural traction rate is eliminated via a simple revision; (iii) we analyze the instability source due to the CIBC compensation and propose an approach to recover the two-sided corrections for interface conditions; (iv) the method is extended to the generalized planar rigid-body motion. The improved CIBC methods are subsequently introduced into various partitioned solution algorithms. Different FSI examples are investigated and important flow-induced phenomena are successfully captured.
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