Modified Lees–Edwards Boundary conditions and viscous contact for numerical simulations of particles in a shear flow
DOI:
https://doi.org/10.13052/17797179.2012.714851Keywords:
suspension, contact, viscous contact model, fluid-structure interaction, immersed domain methodAbstract
We present a way to handle contacts between rigid particles in shear flow. The influence of such a modeling is shown by studying an example with 13 particles in 3D. Studying a concentrated suspension in 2D, we demonstrate that contact modelling as well as choice of boundary conditions influences the macroscopic properties of the suspension.
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References
Beaume, G. (2008). Modélisation et simulation numérique directe de l’écoulement d’un fluide complexe
(Modelling and numerical simulation of a complex fluid flow) (PhD thesis, Ecole Nationale Supérieure
des Mines de Paris), http://tel.archives-ouvertes.fr/tel-00416435.
Coupez, T., Digonnet, H., Hachem, E., Laure, P., Silva, L., & Valette, R. (2010). Multidomain finite element
computations: Application to multiphasic problems. In M. Souli & D.J. Benson (Eds.), Arbitrary
Lagrangian–Eulerian and fluid–structure interaction. Numerical simulation (pp. 221–289).
Wiley-ISTE.
Glowinski, R., Pan, T.-W., Helsa, T., & Joseph D. (1999). A distributed Lagrange multiplier/fictious
domain method for particulate flows. International Journal of Multiphase Flows, 25, 755–794.
Hwang, W., Hulsen, M., & Meijer, H.E.H. (2004). Direct simulation of particle suspensions in sliding
bi-periodic frames. Journal of Computational Physics, 194, 742–772.
Kuhn H.W. & Tucker A.W. (1951). Nonlinear programming. In J. Neyman (Ed.), Proceedings of the
Second Berkeley Symposium on Mathematical Statistics and Probability, 31 July - 12 August 1950,
University of California Press, Berkeley and Los Angeles (pp. 481–492).
Laure, P., Beaume, G., Basset, O., Silva, L., & Coupez T. (2007). Numerical methods for solid particles
in particulate flow simulations. European Journal of Computational Mechanics, 16, 365–383.
Lees, A. & Edwards, S. (1972). The computer study of transport process under extreme condition. Journal
of Physics C: Solid State Physics, 5, 1921–1928.
Lefebvre, A. (2007). Modélisation numérique d’écoulements fluide/particules (Numerical modelling of
fluid/particle flows) (PhD thesis, Université Paris Sud - Paris XI, 11), http://tel.archives-ouvertes.fr/
tel-00257246/en/.
Lefebvre A. (2009). Numerical simulation of gluey particles. M2AN, 43, 53–80.
Lefebvre, A. & Maury, B. (2005). Apparent viscosity of a mixture of a Newtonian fluid and interacting
particles. CRAS Mécanique, 333(12), 923–933.
Maury, B. (2007). A gluey particle model. ESAIM: Proceedings, 18, 133–142.
Patankar, N., Singh, P., Joseph, D., Glowinski, R., & Pan, T.-W. (2000). A new formulation of the distributed
Lagrange multiplier/fictitious domain method for particulate flows. International Journal of
Multiphase Flow, 26, 1509–1524.
Verdon, N., Lefebvre-Lepot, A., Lobry, L., & Laure, P. (2010). Contact problems for particles in a shear
flow. European Journal of Computational Mechanics, 19, 513–531.
Verdon, N., Beaume, G., Lefebvre-Lepot, A., Lobry, L., & Laure, P. (submitted). Influences of contact
modelling in direct numerical simulations of particle suspension in a shear flow. Journal of Non
Newtonian Fluid Mechanics.
