Mémoire de Maîtrise
DOI
10.11606/D.18.2018.tde-23042018-103653
Document
Auteur
Nom complet
Giovane Avancini
Unité de l'USP
Domain de Connaissance
Date de Soutenance
Editeur
São Carlos, 2018
Directeur
Jury
Coda, Humberto Breves (Président)
Arndt, Marcos
Sousa, Fabrício Simeoni de
Titre en portugais
Análise numérica bidimensional de interação fluido-estrutura: uma formulação posicional baseada em elementos finitos e partículas
Mots-clés en portugais
Formulação posicional
Interação fluido-estrutura
Método de partículas
Método dos elementos finitos
Resumé en portugais
Titre en anglais
Two-dimensional fluid-structure interaction numerical analysis: a positional formulation based on finite elements and particles
Mots-clés en anglais
Finite element method
Fluid-structure interaction
Particle methods
Positional-based formulation
Resumé en anglais
Problems involving fluid-structure interaction are challenging for engineering and, while involving two different materials with distinct physical properties, they require a compatible mathematical description for both solid and fluid domain in order to allow the coupling. Thus, this work introduces a formulation, under Lagrangian description, for the solution of solid, incompressible fluid dynamics and fluid-structure interaction (FSI). In FSI problems, the structure usually presents large displacements thus making mandatory a geometric non-linear analysis. Considering it, we adopt a position based formulation of the finite element method (FEM) which has been shown to be very robust when applied to large displacement solid dynamics. For the fluid mechanics problem it is well known that a Lagrangian description eliminates the convective terms from the Navier-Stokes equations and thus, no stabilization technique is required. However, the difficulty is then transferred to the need of efficient re-meshing, mesh quality and external boundary identification techniques, since the fluid presents no resistance to shear stresses and may deform indefinitely. In this sense, we employ a combination of finite element and particle methods in which the particle interaction forces are computed by mean of a finite element mesh which is re-constructed at every time step. Free surface flows are simulated by a boundary recognition technique enabling large domain distortions or even the particles separation from the main domain, representing for instance a water drop. Finally, the fluid-structure coupling is simplified due to the Lagrangian description adopted for both materials, with no need for extra adaptive mesh-moving technique for the fluid computational domain to follow the structure motion.

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Date de Publication
2018-06-13

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