Simulating particles in Stokes flow

Journal of Computational and Applied Mathematics

Volumn 175, Issue 2, 2005, Pages 415-427

  Götz, Thomas ^a  

^a ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

Author keywords

Particle; Singularity method; Slow viscous flow

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; LINEAR EQUATIONS; NONLINEAR EQUATIONS; OPTIMIZATION; POLES AND ZEROS; REYNOLDS NUMBER; VECTORS;

SINGULARITY METHOD; SLOW VISCOUS FLOW; STOKES FLOW;

COMPUTER SIMULATION;

EID: 10644261470     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2004.06.019     Document Type: Article

References (24)

1. J.F. Brady G. Bossis Stokesian dynamics Ann. Rev. Fluid. Mech. 20 1988 111-157
2. S.T. Chung T.H. Kwon Numerical simulation of fiber orientation in injection moulding of short-fiber-reinforced thermoplastics Polym. Eng. Sci. 7 35 1995 604-618
3. A.T. Chwang T.Y. Wu Hydromechanics of low-Reynolds number flow. 2. Singularity methods for Stokes flow J. Fluid Mech. 67 4 1975 787-815
4. A.T. Chwang T.Y. Wu Hydromechanics of low-Reynolds number flow. 4. Translation of spheroids J. Fluid Mech. 75 4 1976 677-689
5. R.G. Cox The motion of long slender bodies in a viscous fluid. 1. General theory J. Fluid Mech. 44 4 1970 791-810
6. J. Cui, Finite pointset methods on the sphere and their application in physical geodesy, Ph.D. Thesis, University of Kaiserslautern, Germany, 1995.
7. T. Da̧broś A singularity method for calculating hydrodynamic forces and particle velocities in low-Reynolds number flows J. Fluid Mech. 156 1985 1-21
8. G. Fairweather A. Karageorghis The method of fundamental solutions for elliptic boundary value problems Adv. Comput. Math. 9 1998 69-95
9. F. Folgar C.L. Tucker Orientation behavior of fibers in concentrated suspensions J. Reinforced Plastics Composites 3 1984 98-119
10. X. Fan N. Phan-Thien R. Zheng A direct simulation of fibre suspensions J. Non-Newtonian Fluid Mech. 74 1998 113-135
11. T. Götz Coupling heat conduction and radiative transfer J. Quantum Spectrosc. Rad. Trans. 72 2002 57-73
12. J. Happel H. Brenner Low-Reynolds number hydrodynamics 1973 Noordhoff International Publishing Leiden
13. J. Lighthill Mathematical Biofluid dynamics 1975 SIAM Philadelphia, PA
14. S. Nasseri N. Phan-Thien Hydrodynamic interaction between two nearby swimming micromachines Comput. Mech. 20 6 1997 551-559
15. H. Ogata K. Amano M. Sugihara D. Okano A fundamental solution method for viscous flow problems with obstacles in a periodic array J. Comput. Appl. Math. 152 2003 411-425
16. C. Pozrikidis Boundary integrals & singularity methods for linearized viscous flow Cambridge Texts in Applied Mathematics vol. 8 1992 Cambridge University Press Cambridge
17. C. Pozrikidis Dynamic simulation of the flow of suspensions of two-dimensional particles with arbitrary shapes Eng. Anal. Boundary Elements 25 1 2001 19-30
18. W.H. Press et al. Numerical Recipes in C second ed. 1995 Cambridge University Press Cambridge
19. M. Shelley T. Ueda The Stokesian hydrodynamics of flexing, stretching filaments Physica D 146 2000 221-245
20. M. Stimson G.B. Jeffery The motion of two spheres in a viscous fluid Proc. Roy. Soc. London (A) 111 1926 110-116
21. G. Taylor Analysis of the swimming of long and narrow animals Proc. Roy. Soc. London Ser. A 214 1952 158-183
22. S. Yamamoto T. Matsuoka Viscosity of dilute solutions of rodlike particles a numerical simulation method J. Chem. Phys. 100 4 1994 3317-3324
23. S. Yamamoto T. Matsuoka Dynamic simulation of fiber suspensions in shear flow J. Chem. Phys. 105 5 1995 2254-2260
24. H. Zhou C. Pozrikidis Adaptive singularity method for Stokes flow past particles J. Comput. Phys. 117 1995 79-89