SCOPUS 정보 검색 플랫폼

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 77, Issue 2, 2008, Pages

Singular forces and pointlike colloids in lattice Boltzmann hydrodynamics

(3) Nash, R W a Adhikari, R a,b Cates, M E a

a UNIVERSITY OF EDINBURGH (United Kingdom)

b INSTITUTE OF MATHEMATICAL SCIENCES (India)

Author keywords

[No Author keywords available]

Indexed keywords

BOLTZMANN EQUATION; COLLOIDS; COMPUTATIONAL EFFICIENCY; HYDRODYNAMICS; PARTICLE SIZE;

ARBITRARY SINGULAR DISTRIBUTIONS; POINTLIKE COLLOIDS; SINGULAR FORCES;

CRYSTAL LATTICES;

EID: 40849083573 PISSN: 15393755 EISSN: 15502376 Source Type: Journal
DOI: 10.1103/PhysRevE.77.026709 Document Type: Article

Times cited : (57)

References (55)

1
- 0003841357
- Oxford University Press, Oxford
- S. Succi, The Lattice Boltzmann Equation, For Fluid Dynamics and Beyond (Oxford University Press, Oxford, 2001).
- (2001) The Lattice Boltzmann Equation, for Fluid Dynamics and beyond
- Succi, S.¹

2
- 24844466239
- PLEEE8 1063-651X 10.1103/PhysRevE.47.1815
- X. Shan and H. Chen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.47. 1815 47, 1815 (1993).
- (1993) Phys. Rev. e , vol.47 , pp. 1815
- Shan, X.¹ Chen, H.²

3
- 33645077774
- PLEEE8 1063-651X 10.1103/PhysRevE.49.2941
- X. Shan and H. Chen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.49. 2941 49, 2941 (1994).
- (1994) Phys. Rev. e , vol.49 , pp. 2941
- Shan, X.¹ Chen, H.²

4
- 4644301820
- PLEEE8 1063-651X 10.1103/PhysRevE.54.5041
- M. R. Swift, E. Orlandini, W. R. Osborn, and J. M. Yeomans, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.54.5041 54, 5041 (1996).
- (1996) Phys. Rev. e , vol.54 , pp. 5041
- Swift, M.R.¹ Orlandini, E.² Osborn, W.R.³ Yeomans, J.M.⁴

5
- 0542402487
- IJMPEO 0129-1831 10.1142/S0129183198001291
- P. Ahlrichs and B. Dunweg, Int. J. Mod. Phys. C IJMPEO 0129-1831 10.1142/S0129183198001291 9, 1429 (1998).
- (1998) Int. J. Mod. Phys. C , vol.9 , pp. 1429
- Ahlrichs, P.¹ Dunweg, B.²

6
- 0028461975
- JFLSA7 0022-1120 10.1017/S0022112094001771
- A. J. C. Ladd, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112094001771 271, 285 (1994).
- (1994) J. Fluid Mech. , vol.271 , pp. 285
- Ladd, A.J.C.¹

7
- 0028460854
- JFLSA7 0022-1120 10.1017/S0022112094001783
- A. J. C. Ladd, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112094001783 271, 311 (1994).
- (1994) J. Fluid Mech. , vol.271 , pp. 311
- Ladd, A.J.C.¹

8
- 0001612963
- PLEEE8 1063-651X 10.1103/PhysRevE.61.5307
- J. M. Buick and C. A. Greated, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.61.5307 61, 5307 (2000).
- (2000) Phys. Rev. e , vol.61 , pp. 5307
- Buick, J.M.¹ Greated, C.A.²

9
- 0003542775
- John Wiley, New York
- P. Résibois and M. Leener, Classical Kinetic Theory of Fluids (John Wiley, New York, 1977).
- (1977) Classical Kinetic Theory of Fluids
- Résibois, P.¹ Leener, M.²

10
- 0004074550
- Clarendon Press, Oxford
- M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Clarendon Press, Oxford, 1986).
- (1986) The Theory of Polymer Dynamics
- Doi, M.¹ Edwards, S.F.²

11
- 0015634543
- SAPMB6 0022-2526
- P. G. Saffman, Stud. Appl. Math. SAPMB6 0022-2526 52, 115 (1973).
- (1973) Stud. Appl. Math. , vol.52 , pp. 115
- Saffman, P.G.¹

12
- 0035353239
- ADPHAH 0001-8732 10.1080/00018730110050617
- S. Ramaswamy, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730110050617 50, 297 (2001).
- (2001) Adv. Phys. , vol.50 , pp. 297
- Ramaswamy, S.¹

13
- 0001207344
- PLEEE8 1063-651X 10.1103/PhysRevE.55.R6333
- X. He and L.-S. Luo, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.55. R6333 55, R6333 (1997).
- (1997) Phys. Rev. e , vol.55 , pp. 6333
- He, X.¹ Luo, L.-S.²

14
- 0002945795
- PRLTAO 0031-9007 10.1103/PhysRevLett.80.65
- X. Shan and X. He, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 80.65 80, 65 (1998).
- (1998) Phys. Rev. Lett. , vol.80 , pp. 65
- Shan, X.¹ He, X.²

15
- 33645687069
- JFLSA7 0022-1120 10.1017/S0022112005008153
- X. Shan, X.-F. Yuan, and H. Chen, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112005008153 550, 413 (2006).
- (2006) J. Fluid Mech. , vol.550 , pp. 413
- Shan, X.¹ Yuan, X.-F.² Chen, H.³

16
- 0001177019
- JCTPAH 0021-9991 10.1006/jcph.2001.6791
- T. Lee and C.-L. Lin, J. Comput. Phys. JCTPAH 0021-9991 10.1006/jcph.2001.6791 171, 336 (2001).
- (2001) J. Comput. Phys. , vol.171 , pp. 336
- Lee, T.¹ Lin, C.-L.²

17
- 0037335338
- JCTPAH 0021-9991 10.1016/S0021-9991(02)00065-7
- T. Lee and C.-L. Lin, J. Comput. Phys. JCTPAH 0021-9991 10.1016/S0021-9991(02)00065-7 185, 445 (2003).
- (2003) J. Comput. Phys. , vol.185 , pp. 445
- Lee, T.¹ Lin, C.-L.²

18
- 1542471855
- ARVFA3 0066-4189 10.1146/annurev.fluid.30.1.329
- S. Chen and G. D. Doolen, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fluid.30.1.329 30, 329 (1998).
- (1998) Annu. Rev. Fluid Mech. , vol.30 , pp. 329
- Chen, S.¹ Doolen, G.D.²

19
- 0002428144
- PLEEE8 1063-651X 10.1103/PhysRevE.55.R21
- N. Cao, S. Chen, S. Jin, and D. Martínez, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.55.R21 55, R21 (1997).
- (1997) Phys. Rev. e , vol.55 , pp. 21
- Cao, N.¹ Chen, S.² Jin, S.³ Martínez, D.⁴

20
- 0035538509
- JSTPBS 0022-4715 10.1023/A:1010414013942
- A. J. C. Ladd and R. Verberg, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1010414013942 104, 1191 (2001).
- (2001) J. Stat. Phys. , vol.104 , pp. 1191
- Ladd, A.J.C.¹ Verberg, R.²

21
- 4243825742
- PLEEE8 1063-651X 10.1103/PhysRevE.56.6811
- X. Y. He and L. S. Luo, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.6811 56, 6811 (1997).
- (1997) Phys. Rev. e , vol.56 , pp. 6811
- He, X.Y.¹ Luo, L.S.²

22
- 84956111432
- EULEEJ 0295-5075 10.1209/0295-5075/17/6/001
- Y. Qian, D. d'Humieres, and P. Lallemand, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/17/6/001 17, 479 (1992).
- (1992) Europhys. Lett. , vol.17 , pp. 479
- Qian, Y.¹ D'Humieres, D.² Lallemand, P.³

23
- 0000512040
- PLEEE8 1063-651X 10.1103/PhysRevE.58.6855
- N. S. Martys, X. Shan, and H. Chen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.6855 58, 6855 (1998).
- (1998) Phys. Rev. e , vol.58 , pp. 6855
- Martys, N.S.¹ Shan, X.² Chen, H.³

24
- 11544343875
- PLEEE8 1063-651X 10.1103/PhysRevE.57.R13
- X. He, X. Shan, and G. Doolen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.57.R13 57, R13 (1998).
- (1998) Phys. Rev. e , vol.57 , pp. 13
- He, X.¹ Shan, X.² Doolen, G.³

25
- 0004293720
- 3rd ed. (Academic Press, London
- D. Zwillinger, Handbook of Differential Equations, 3rd ed. (Academic Press, London, 1998).
- (1998) Handbook of Differential Equations
- Zwillinger, D.¹

26
- 0035443378
- PLEEE8 1063-651X 10.1103/PhysRevE.64.031203
- P. J. Dellar, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.031203 64, 031203 (2001).
- (2001) Phys. Rev. e , vol.64 , pp. 031203
- Dellar, P.J.¹

27
- 33751580668
- PLEEE8 1063-651X 10.1103/PhysRevE.65.046308
- Z. L. Guo, C. Zheng, and B. C. Shi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.046308 65, 046308 (2002).
- (2002) Phys. Rev. e , vol.65 , pp. 046308
- Guo, Z.L.¹ Zheng, C.² Shi, B.C.³

28
- 23444456754
- EULEEJ 0295-5075 10.1209/epl/i2004-10542-5
- R. Adhikari, K. Stratford, A. J. Wagner, and M. E. Cates, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10542-5 71, 473 (2005).
- (2005) Europhys. Lett. , vol.71 , pp. 473
- Adhikari, R.¹ Stratford, K.² Wagner, A.J.³ Cates, M.E.⁴

29
- 33751544551
- ZZZZZZ 0962-4929
- C. S. Peskin, Acta Numerica ZZZZZZ 0962-4929 11, 479 (2002).
- (2002) Acta Numerica , vol.11 , pp. 479
- Peskin, C.S.¹

30
- 0003610623
- Pergamon, Moscow
- L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon, Moscow, 1971).
- (1971) Fluid Mechanics
- Landau, L.D.¹ Lifshitz, E.M.²

31
- 84886764942
- JFLSA7 0022-1120 10.1017/S0022112059000222
- H. Hasimoto, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112059000222 5, 317 (1959).
- (1959) J. Fluid Mech. , vol.5 , pp. 317
- Hasimoto, H.¹

32
- 0034206379
- PLEEE8 1063-651X 10.1103/PhysRevE.61.6546
- P. Lallemand and L. S. Luo, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.61.6546 61, 6546 (2000).
- (2000) Phys. Rev. e , vol.61 , pp. 6546
- Lallemand, P.¹ Luo, L.S.²

33
- 0000484233
- PLEEE8 1063-651X 10.1103/PhysRevE.50.4586
- O. Behrend, R. Harris, and P. B. Warren, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.50.4586 50, 4586 (1994).
- (1994) Phys. Rev. e , vol.50 , pp. 4586
- Behrend, O.¹ Harris, R.² Warren, P.B.³

34
- 0142254084
- PRLTAO 0031-9007 10.1103/PhysRevLett.79.2574
- P. N. Segre, E. Herbolzheimer, and P. M. Chaikin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.2574 79, 2574 (1997).
- (1997) Phys. Rev. Lett. , vol.79 , pp. 2574
- Segre, P.N.¹ Herbolzheimer, E.² Chaikin, P.M.³

35
- 0001672534
- PRLTAO 0031-9007 10.1103/PhysRevLett.70.1339
- A. J. C. Ladd, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70. 1339 70, 1339 (1993).
- (1993) Phys. Rev. Lett. , vol.70 , pp. 1339
- Ladd, A.J.C.¹

36
- 22944485027
- JCPSA6 0021-9606 10.1063/1.1854151
- O. B. Usta, A. J. C. Ladd, and J. Butler, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1854151 122, 094902 (2005).
- (2005) J. Chem. Phys. , vol.122 , pp. 094902
- Usta, O.B.¹ Ladd, A.J.C.² Butler, J.³

37
- 3042622341
- NJOPFM 1367-2630 10.1088/1367-2630/6/1/054
- V. Lobaskin and B. Dünweg, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/6/1/054 6, 54 (2004).
- (2004) New J. Phys. , vol.6 , pp. 54
- Lobaskin, V.¹ Dünweg, B.²

38
- 5044240876
- JCOMEL 0953-8984 10.1088/0953-8984/16/38/021
- V. Lobaskin, B. Dünweg, and C. Holm, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/16/38/021 16, S4063 (2004).
- (2004) J. Phys.: Condens. Matter , vol.16 , pp. 4063
- Lobaskin, V.¹ Dünweg, B.² Holm, C.³

39
- 1842733457
- JCTPAH 0021-9991 10.1016/j.jcp.2003.10.013
- Z.-G. Feng and E. Michaelides, J. Comput. Phys. JCTPAH 0021-9991 10.1016/j.jcp.2003.10.013 195, 602 (2004).
- (2004) J. Comput. Phys. , vol.195 , pp. 602
- Feng, Z.-G.¹ Michaelides, E.²

40
- 8744293043
- JCTPAH 0021-9991 10.1016/j.jcp.2004.06.020
- Z.-G. Feng and E. Michaelides, J. Comput. Phys. JCTPAH 0021-9991 10.1016/j.jcp.2004.06.020 202, 20 (2005).
- (2005) J. Comput. Phys. , vol.202 , pp. 20
- Feng, Z.-G.¹ Michaelides, E.²

41
- 33748897722
- JCTPAH 0021-9991
- Y. Peng, C. Shu, Y. Chew, X. Niu, and X. Lu, J. Comput. Phys. JCTPAH 0021-9991 218, 460 (2006).
- (2006) J. Comput. Phys. , vol.218 , pp. 460
- Peng, Y.¹ Shu, C.² Chew, Y.³ Niu, X.⁴ Lu, X.⁵

42
- 21444453996
- JCTPAH 0021-9991
- M. Uhlmann, J. Comput. Phys. JCTPAH 0021-9991 209, 448 (2005).
- (2005) J. Comput. Phys. , vol.209 , pp. 448
- Uhlmann, M.¹

43
- 33748433632
- JCTPAH 0021-9991
- X. Shi and N. Phan-Thien, J. Comput. Phys. JCTPAH 0021-9991 206, 81 (2005).
- (2005) J. Comput. Phys. , vol.206 , pp. 81
- Shi, X.¹ Phan-Thien, N.²

44
- 0003593354
- Cambridge University Press, Cambridge, U.K.
- C. Pozrikidis, Boundary Integral and Singularity Methods for Linearized Viscous Flow (Cambridge University Press, Cambridge, U.K., 1992).
- (1992) Boundary Integral and Singularity Methods for Linearized Viscous Flow
- Pozrikidis, C.¹

45
- 0003502177
- Prentice-Hall, London
- J. Happel and H. Brenner, Low Reynolds Number Hydrodynamics (Prentice-Hall, London, 1965).
- (1965) Low Reynolds Number Hydrodynamics
- Happel, J.¹ Brenner, H.²

46
- 0942289645
- PFLDAS 0031-9171 10.1063/1.861651
- J. M. Crowley, Phys. Fluids PFLDAS 0031-9171 10.1063/1.861651 19, 1296 (1976).
- (1976) Phys. Fluids , vol.19 , pp. 1296
- Crowley, J.M.¹

47
- 5144234062
- JCOMEL 0953-8984 10.1088/0953-8984/16/38/009
- M. E. Cates, K. Stratford, R. Adhikari, P. Stansell, J. C. Desplat, and I. Pagonabarraga, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/16/38/009 16, S3903 (2004).
- (2004) J. Phys.: Condens. Matter , vol.16 , pp. 3903
- Cates, M.E.¹ Stratford, K.² Adhikari, R.³ Stansell, P.⁴ Desplat, J.C.⁵ Pagonabarraga, I.⁶

48
- 41349117562
- PLEEE8 1063-651X 10.1103/PhysRevE.66.046708
- N.-Q. Nguyen and A. J. C. Ladd, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.046708 66, 046708 (2002).
- (2002) Phys. Rev. e , vol.66 , pp. 046708
- Nguyen, N.-Q.¹ Ladd, A.J.C.²

49
- 27844585501
- JSTPBS 0022-4715 10.1007/s10955-005-8411-1
- K. Stratford, R. Adhikari, I. Pagonabarraga, and J. C. Desplat, J. Stat. Phys. JSTPBS 0022-4715 10.1007/s10955-005-8411-1 121, 163 (2005).
- (2005) J. Stat. Phys. , vol.121 , pp. 163
- Stratford, K.¹ Adhikari, R.² Pagonabarraga, I.³ Desplat, J.C.⁴

50
- 40849096718
- E-PLEEE8-77-057802 for an animated movie of Fig. 8. For more information on EPAPS, see
- See EPAPS Document No. E-PLEEE8-77-057802 for an animated movie of Fig. 8. For more information on EPAPS, see http://www.aip.org/pubservs/epaps.html.

51
- 33747378308
- MCSIDR 0378-4754
- T. Inamuro and T. Ii, Math. Comput. Simul. MCSIDR 0378-4754 72, 141 (2006).
- (2006) Math. Comput. Simul. , vol.72 , pp. 141
- Inamuro, T.¹ Ii, T.²

52
- 23044460081
- JCTPAH 0021-9991 10.1016/j.jcp.2005.04.009
- Z. Zhang and A. Prosperetti, J. Comput. Phys. JCTPAH 0021-9991 10.1016/j.jcp.2005.04.009 210, 292 (2005).
- (2005) J. Comput. Phys. , vol.210 , pp. 292
- Zhang, Z.¹ Prosperetti, A.²

53
- 14844320143
- JFLSA7 0022-1120 10.1017/S0022112004002563
- N.-Q. Nguyen and A. Ladd, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112004002563 525, 73 (2005).
- (2005) J. Fluid Mech. , vol.525 , pp. 73
- Nguyen, N.-Q.¹ Ladd, A.²

54
- 40849134713
- A. J. C. Ladd (private communication).
- Ladd, A.J.C.¹

55
- 1842428747
- JFLSA7 0022-1120 10.1017/S0022112003006967
- P. Mucha, D. Weitz, B. Shraiman, and M. Brenner, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112003006967 501, 71 (2004).
- (2004) J. Fluid Mech. , vol.501 , pp. 71
- Mucha, P.¹ Weitz, D.² Shraiman, B.³ Brenner, M.⁴

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.