- Access by Xinjiang University
Improved simulation of drop dynamics in a shear flow at low Reynolds and capillary number
Phys. Rev. E 73, 056708 – Published 26 May, 2006
DOI: https://doi.org/10.1103/PhysRevE.73.056708
Abstract
The simulation of multicomponent fluids at low Reynolds number and low capillary number is of interest in a variety of applications such as the modeling of venule scale blood flow and microfluidics; however, such simulations are computationally demanding. An improved multicomponent lattice Boltzmann scheme, designed to represent interfaces in the continuum approximation, is presented and shown (i) significantly to reduce common algorithmic artifacts and (ii) to recover full Galilean invariance. The method is used to model drop dynamics in shear flow in two dimensions where it recovers correct results over a range of Reynolds and capillary number greater than that which may be addressed with previous methods.
Article Text
References (27)
- M. M. Dupin, I. Halliday, and C. M. Care, J. Phys. A 36, 8517 (2003).
- M. M. Dupin, I. Halliday, and C. M. Care, Philos. Trans. R. Soc. London, Ser. A 362, 1885 (2004).
- S. Jadhav, C. D. Eggleton, and K. Konstantopoulos, Biophys. J. 88, 96 (2005).
- A. Esmaeeli and G. Tryggvason, J. Fluid Mech. 377, 313 (1998).
- K. Sankaranarayanan, I. G. Kevrekidis, S. Sundaresan, J. Lu, and G. Tryggvason, Int. J. Multiphase Flow 29, 109 (2003).
- M. R. Swift, W. R. Osborn, and J. M. Yeomans, Phys. Rev. Lett. 75, 830 (1995).
- X. W. Shan and H. D. Chen, Phys. Rev. E 49, 2941 (1994).
- M. R. Swift, E. Orlandini, W. R. Osborn, and J. M. Yeomans, Phys. Rev. E 54, 5041 (1996).
- A. K. Gunstensen, D. H. Rothman, S. Zaleski, and G. Zanetti, Phys. Rev. A 43, 4320 (1991).
- S. V. Lishchuk, C. M. Care, and I. Halliday, Phys. Rev. E 67, 036701 (2003).
- J. U. Brackbill, D. B. Kothe, and C. Zemach, J. Comput. Phys. 100, 335 (1992).
- S. Succi, The Lattice Boltzmann Equation for Fluid Mechanics and Beyond (Oxford/Clarendon, New York, 2001).
- M. Do-Quang, E. Aurell, and M. Vergassola, Internal Report 00:03, http://www.psci.kth.se/Activities/Reports/Results/R_2000_03/psci2000_03.pdf
- Z. Guo, C. Zheng, and B. Shi, Phys. Rev. E 65, 046308 (2002).
- A. Wagner, Int. J. Mod. Phys. B 17, 193 (2003).
- Y. H. Qian, D. d’Humieres, and P. Lallemand, Europhys. Lett. 17, 479 (1992).
- I. Halliday, L. A. Hammond, C. M. Care, K. Good, and A. Stevens, Phys. Rev. E 64, 011208 (2001).
- I. Halliday, S. P. Thompson, and C. M. Care, Phys. Rev. E 57, 514 (1998).
- A. J. C. Ladd and R. Verberg, J. Stat. Phys. 104, 1191 (2001).
- A. J. C. Ladd, J. Fluid Mech. 271, 285 (1994).
- J. Happel and H. Brenner, Low Reynolds Number Hydrodynamics (Nordhof International Publishing, Leyden, 1973).
- U. D’Ortona, D. Salin, M. Cieplak, R. B. Rybka, and J. R. Banavar, Phys. Rev. E 51, 3718 (1995).
- M. Latva-Kokko and D. H. Rothman, Phys. Rev. E 71, 056702 (2005).
- I. Halliday, L. A. Hammond, and C. M. Care, J. Phys. A 35, 157 (2002).
- M. Henon, Complex Syst. 1, 763 (1987).
- P. B. Warren, Int. J. Mod. Phys. C 5, 889 (1997).
- S. Hou, Q. Zou, S. Chen, G. Doolen, and A. C. Cogley, J. Comput. Phys. 118, 329 (1995).