The study on viscous-dominated flow-structure interaction (FSI) now trends towards to be popular by using the modern CFD and CSD technique, that concerns in a board range of applications for ship and ocean engineering. For example, CFD and FEA are coupled to predict the dynamic behaviour of a flexible barge in regular head waves, including the hydroelasticity of a large containership and the deformation of a thin flat plate in air flows. The particular phenomenon of interest in this paper involves scattered data interpolation on the interface between the solid and liquid by introduction of the radial basis function (RBF) technology. Additionally, the RBF-based interpolation is optimized and improved according to the region decomposition technology and the error estimate of the RBF, which helps to effectively solve the large full-rank matrix connected with the RBFbased interpolation. In this way, a new data-independent RBF interpolation point selection method is developed.

Three typical cases are given by using the global RBF interpolation, the compactly supported RBF interpolation and the partitioned RBF-based interpolation, in which we analyse the bending deformation of the flat plate under the impact of airflow, which is the representative of the FSI problems. By comparison, our developed partitioned RBF-based interpolation shows the global efficiency and accuracy. In particular, the relationship between the error estimate of the RBF and the filling distance of the interpolation domain is well verified. Probably, it provides a new simple approach for data exchange in FSI.


Destructive problems have arisen in many flow-structure interaction phenomena, such as fatigue failure of propellers, failure of elbow erosion, damage to high-rise buildings by strong winds and bridge deformation due to sea waves. These problems seriously threaten product life and building safety. These problems now are widely solved numerically using the partitioned coupling method due to its efficiency. In the partitioned coupling solution, independent fluid and structural modules can be used respectively. It was verified (Su, 2010; Zhang, 2017) that, fluid-solid modules can help to take advantage of the existing CFD and CSD study within this frame, which usually show different spatial-temporal discrete methods. Thus, it is necessary to develop a high-precision and efficient interface transfer algorithm on the interface between the flow field and the structure field.

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