Fluid-Structure Interaction

By Stoia-Djeska Marius, Safta Carmen-Anca. 2012

154 citations recorded by the source corpus.

The fluid-structure interaction (FSI) phenomenon is the result of the interactions of multiple continuum fields. The fluid (gas or/and liquid) forces act on a neighboring elastic solid, which is deformed and thus influences the flow of the adhering fluid. Due to the deformation of the solid, both the fluid velocity and the fluid domain change. Usually, this interaction takes place in the presence of other mechanical fields and as important examples we mention here the external body forces and acoustic fields. The mathematical modeling of the FSI phenomenon requires mathematical models for each field implied in and also the coupling mechanisms between the fields. For instance, one can imagine a mathematical model of a FSI phenomenon where the fluid flow field is modeled with the unsteady Navier-Stokes equations, the solid elastic field with the Navier equations while for the acoustic field the inhomogeneous wave equation based on Lighthill’s analogy can be used and the external body forces are due to gravity. The boundary conditions for the fluid, solid and acoustic models represent here the coupling mechanism between the fields. However, even everything looks simple and clear the accurate and efficient solution of FSI problems is still a highly complicated task and an open area of research. Furthermore, using complicated models as those enumerated above the only way to obtain a solution to a specific FSI problem is the numerical one. The Computational Fluid Dynamics (CFD), Computational Structural Dynamics (CSD), Finite Element Method (FEM) provide us with specific mathematical models and numerical techniques that can be coupled to build a numerical solver for a FSI problem. However, even for simple and without engineering relevance problems the computational effort required to solve a specific problem becomes huge if the mathematical modeling of the physical phenomenon is not carefully done. As in many other multiple field interaction problems the level of accuracy of the mathematical model is crucial for both the efficiency and quality of the results. Further, we notice also that the development of in-house codes for such purposes is a difficult task. Today we know from the experience earned from a century of practice that different levels of approximation can be used successfully to build up a simplified mathematical model for a FSI problem. This can be done by simplifying the flow equations and by choosing engineering models for the elastic structure. With appropriate coupling mechanisms one can thus obtain mathematical models which are well-matched for practical purposes, starting from the design and up to advanced (flow and/or structural dynamics) control purposes. The use of different simplifying hypothesis (about the dimensionality of the flow and structural models, for instance) requires from the engineer a deep understanding of the multifield interaction phenomenon so that by neglecting different components of the

Subfields: Biomedical Engineering, Computational Mechanics, Fluid Flow and Transfer Processes

View Paper: https://www.semanticscholar.org/paper/161b21c2637f030b5105949b1f03d93845f7b8d6

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In Biomedical Engineering

  1. Charbel Farhat
  2. A. Tijsseling
  3. A. Ahmadi
  4. Qingzhi Hou
  5. Alireza Keramat

In Computational Mechanics

  1. David Amsallem
  2. Charbel Farhat
  3. A. Ahmadi
  4. Qingzhi Hou
  5. Alireza Keramat
  6. A. Tijsseling
  7. Kevin T. Carlberg
  8. Philip Avery

In Fluid Flow and Transfer Processes

  1. A. Tijsseling
  2. A. Ahmadi
  3. Qingzhi Hou
  4. Alireza Keramat

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