Comptes Rendus
A particle model for fluid–structure interaction
[Une méthode particulaire pour le couplage fluide–structure]
Comptes Rendus. Mathématique, Volume 335 (2002) no. 10, pp. 833-838.

We propose a particle method to handle fluid–structure interactions on a 1D model problem. Interactions between fluid and solid particles implicitly enforce the continuity of stresses on the interface. Comparisons with results obtained by ALE methods allow one to evaluate the robustness and accuracy of the method.

On propose dans cette Note une méthode particulaire pour le calcul d'interactions fluide–structure. La continuité des efforts entre les 2 milieux est prise en compte implicitement par les interactions entre particules fluides et solides. Des tests numériques permettent d'évaluer la robustesse et la précision de la méthode.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/S1631-073X(02)02571-2

Georges-Henri Cottet 1

1 LMC, BP 53x, 38041 Grenoble cedex 9, France
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Georges-Henri Cottet. A particle model for fluid–structure interaction. Comptes Rendus. Mathématique, Volume 335 (2002) no. 10, pp. 833-838. doi : 10.1016/S1631-073X(02)02571-2. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02571-2/

[1] G.-H. Cottet; P. Koumoutsakos Vortex Methods: Theory and Practice, Cambridge University Press, 2000

[2] P. Degond; S. Mas-Gallic The weighted particle method for convection–diffusion equations, Math. Comp, Volume 53 (1989), pp. 485-526

[3] D. Errate; M. Esteban; Y. Maday Couplage fluide–structure : un modèle simplifié, C. R. Acad. Sci. Paris, Série I, Volume 318 (1994)

[4] C. Grandmont, Analyse mathématique et numérique de quelques problèmes d'interaction fluide–structure, Thèse Université Paris 6, 1998

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  • I. Mbaye; C. M. Murea Numerical procedure with analytic derivative for unsteady fluid-structure interaction, Communications in Numerical Methods in Engineering, Volume 24 (2008) no. 11, pp. 1257-1275 | DOI:10.1002/cnm.1031 | Zbl:1153.74047
  • Petros Koumoutsakos MULTISCALE FLOW SIMULATIONS USING PARTICLES, Annual Review of Fluid Mechanics, Volume 37 (2005) no. 1, p. 457 | DOI:10.1146/annurev.fluid.37.061903.175753
  • Georges-Henri Cottet Multi-physics and particle methods, Computational Fluid and Solid Mechanics 2003 (2003), p. 1296 | DOI:10.1016/b978-008044046-0.50319-5

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