Abstract

Fluid structure interaction (FSI) is a complex phenomenon that in several applications cannot be neglected. Given its complexity and multi-disciplinarity the solution of FSI problems is difficult and time consuming, requiring not only the solution of the structural and fluid domains, but also the use of expensive numerical methods to couple the two physics and to properly update the numerical grid. Advanced mesh morphing can be used to embed into the fluid grid the vector fields resulting from structural calculations. The main advantage is that such embedding and the related computational costs occur only at initialization of the computation. A proper combination of embedded vector fields can be used to tackle steady and transient FSI problems by structural modes superposition, for the case of linear structures, or to impose a full non-linear displacement time history. Radial basis functions interpolation, a powerful and precise meshless tool, is used in this work to combine the vector fields and propagate their effect to the full fluid domain of interest. A review of industrial high fidelity FSI problems tackled by means of the proposed method and RBF is given for steady, transient, and non-linear transient FSI problems.

Highlights

  • The interaction between a fluid and a structure (FSI) is a complex phenomenon involving several disciplines and physics

  • Several mapping methods have been developed and are available in literature [9,10,11], such as the standard mortar method (SMM) [12] and the force reaction method [13]. Another drawback given by data transfer for partitioned approaches, when using commercial computational structural mechanics (CSM) and computational fluid dynamic (CFD) solvers, is given by the technical problem of exchanging information since, when using a closed source program offering limited degree of customization or scripting, transferring data by means of external files is often the only available option that can turn into a major bottleneck in terms of computational cost

  • By bringing together and integrating the radial basis functions (RBF) mesh morphing technique presented in Section 2.1 and the theory highlighted in Section 2.3, it is possible to generate an Fluid structure interaction (FSI) approach suitable for solving a wide range of industrial problems

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Summary

Introduction

The interaction between a fluid and a structure (FSI) is a complex phenomenon involving several disciplines and physics. Information, as a matter of fact, must be exchanged at each FSI iteration between CFD and CSM codes, transferring the loads calculated from the CFD to the structural model, and the resulting displacements back from CSM to the fluid dynamic numerical grid This task is sensitive, especially because the requirements in terms of refinement, element typology, and dimension of the computational grid depend on the particular solver, and for this reason CSM and CFD meshes do not generally match in the sense that numerical grid elements, nodes, connectivity, and data locations are different. By importing the RBF vector fields into the CFD solver, their combination can be tweaked according to a physical law based on the loads retrieved during the calculation, turning the CFD mesh into an intrinsically aeroelastic model for the case on linear structures, or to smoothly fade across the known key configurations In this way, the expensive interpolation task required at each iteration of the CFD run is avoided and the volume mesh adapted to the deformed shape. Several industrial applications and examples of use of the proposed method are presented

RBF Background Theory
Parametric Mesh Formulation
Background to Modal Analysis and Modal Superposition
Modal Superposition for Static Analysis
Unsteady Analysis Modal Approach
Setup of Modal FSI Analysis
Setup of Non-Linear Imposed Wall Motion
Industrial Applications of FSI Modal Approach
Transient FSI with Prescribed Displacement Field Examples
Conclusions

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