Numerical methods in fluid and structural dynamics
Simulation of fluid-structure interactions Co-simulations applied to hydrodynamics

Quizzed article REF: BM5205 V1

Numerical methods in fluid and structural dynamics
Simulation of fluid-structure interactions Co-simulations applied to hydrodynamics

Author : Jean-François SIGRIST

Publication date: April 10, 2019, Review date: March 10, 2021 | Lire en français

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2. Numerical methods in fluid and structural dynamics

2.1 Structural and fluid dynamics

2.1.1 Structural dynamics

The motion of a structure made of a homogeneous, isotropic material can be modeled by the Navier equation, which takes the form :

ρ \frac{\partial^{2} u_{i}}{\partial t^{2}} + \frac{E}{1 + ν} (\frac{1}{2 (1 - 2 ν)} \frac{\partial^{2} u_{i}}{\partial x_{i} \partial x_{j}} + \frac{1}{2} \frac{\partial^{2} u_{i}}{\partial x_{j} \partial x_{j}}) = 0

...

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Bibliography

(1) - YVIN (C.), LEROYER (A.), GUILMINEAU (E.), QUEUTEY (P.), VISONNEAU (M.) - Couplage de codes pour l'étude d'interactions fluide-structure de corps rigides dans le domaine de l'hydrodynamique navale. - 14 ^èmes Journées de l'Hydrodynamique (2014).

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