Numerical methods for calculating a structure coupled with a stagnant fluid
Numerical methods of coupled fluid/structure calculation

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Numerical methods for calculating a structure coupled with a stagnant fluid
Numerical methods of coupled fluid/structure calculation

Author : Jean-François sigrist

Review date: March 10, 2021 | Lire en français

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2. Numerical methods for calculating a structure coupled with a stagnant fluid

2.1 Modeling assumptions

In this section, we focus on numerical methods applicable to the solution of a coupled fluid/structure problem in the case of a stagnant fluid. The framework of analysis is that of the vibrations of the structure and the fluid; for the fluid, we are interested in the propagation of waves resulting from the effects of gravity (in low frequency) or compressibility (in high frequency). The state of the coupled system is described by the displacement field in the structure domain and the pressure field in the fluid domain.

The finite element method is well suited to describing the vibrations of an elastic structure; it is also well suited to describing the vibrations of a fluid (gravity waves or compressibility waves) in the case of a fluid...

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