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

Volumn 79, Issue 6, 2009, Pages

Lattice Boltzmann model for the one-dimensional nonlinear Dirac equation

(2) Shi, Baochang a Guo, Zhaoli a

a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY (China)

Author keywords

[No Author keywords available]

Indexed keywords

DIRAC EQUATIONS; EQUILIBRIUM DISTRIBUTION FUNCTIONS; GRID RESOLUTION; LATTICE BOLTZMANN METHOD; LATTICE BOLTZMANN MODELS; NUMERICAL SCHEME; ORDER OF ACCURACY; SECOND-ORDER ACCURACY; SPACE AND TIME;

BOLTZMANN EQUATION; COMPUTATIONAL FLUID DYNAMICS; DROP FORMATION; LINEAR EQUATIONS; NONLINEAR EQUATIONS; SOUND REPRODUCTION;

DISTRIBUTION FUNCTIONS;

EID: 67650873218 PISSN: 15393755 EISSN: 15502376 Source Type: Journal
DOI: 10.1103/PhysRevE.79.066704 Document Type: Article

Times cited : (19)

References (43)

1
- 13844320326
- 10.1016/0370-1573(92)90090-M
- R. Benzi, S. Succi, and M. Vergassola, Phys. Rep. 222, 145 (1992). 10.1016/0370-1573(92)90090-M
- (1992) Phys. Rep. , vol.222 , pp. 145
- Benzi, R.¹ Succi, S.² Vergassola, M.³

2
- 0002585177
- Y. H. Qian, S. Succi, and S. A. Orszag, Annu. Rev. Comput. Phys. 3, 195 (1995).
- (1995) Annu. Rev. Comput. Phys. , vol.3 , pp. 195
- Qian, Y.H.¹ Succi, S.² Orszag, S.A.³

3
- 1542471855
- 10.1146/annurev.fluid.30.1.329
- S. Chen and G. D. Doolen, Annu. Rev. Fluid Mech. 30, 329 (1998). 10.1146/annurev.fluid.30.1.329
- (1998) Annu. Rev. Fluid Mech. , vol.30 , pp. 329
- Chen, S.¹ Doolen, G.D.²

4
- 84956073211
- 10.1209/0295-5075/9/4/008
- F. J. Higuera, S. Succi, and R. Benzi, Europhys. Lett. 9, 345 (1989). 10.1209/0295-5075/9/4/008
- (1989) Europhys. Lett. , vol.9 , pp. 345
- Higuera, F.J.¹ Succi, S.² Benzi, R.³

5
- 0001681816
- Progress in Astronautics and Aeronautics Vol. edited by B. D. Shizgal and D. P. Weaver AIAA, Washington, DC
- D. d'Humières, in Rarefied Gas Dynamics: Theory and Simulations, Progress in Astronautics and Aeronautics Vol. 159, edited by, B. D. Shizgal, and, D. P. Weaver, (AIAA, Washington, DC, 1992), pp. 450-458.
- (1992) Rarefied Gas Dynamics: Theory and Simulations , vol.159 , pp. 450-458
- D'Humières, D.¹

6
- 0034206379
- 10.1103/PhysRevE.61.6546
- P. Lallemand and L.-S. Luo, Phys. Rev. E 61, 6546 (2000). 10.1103/PhysRevE.61.6546
- (2000) Phys. Rev. e , vol.61 , pp. 6546
- Lallemand, P.¹ Luo, L.-S.²

7
- 0033546458
- 10.1209/epl/i1999-00370-1
- I. V. Karlin, A. Ferrante, and H. C. Ottinger, Europhys. Lett. 47, 182 (1999). 10.1209/epl/i1999-00370-1
- (1999) Europhys. Lett. , vol.47 , pp. 182
- Karlin, I.V.¹ Ferrante, A.² Ottinger, H.C.³

8
- 0141791179
- 10.1209/epl/i2003-00496-6
- S. Ansumali, I. V. Karlin, and H. C. Ottinger, Europhys. Lett. 63, 798 (2003). 10.1209/epl/i2003-00496-6
- (2003) Europhys. Lett. , vol.63 , pp. 798
- Ansumali, S.¹ Karlin, I.V.² Ottinger, H.C.³

9
- 33745765040
- 10.1103/PhysRevLett.97.010201
- S. S. Chikatamarla, S. Ansumali, and I. V. Karlin, Phys. Rev. Lett. 97, 010201 (2006). 10.1103/PhysRevLett.97.010201
- (2006) Phys. Rev. Lett. , vol.97 , pp. 010201
- Chikatamarla, S.S.¹ Ansumali, S.² Karlin, I.V.³

10
- 57249090292
- 10.1098/rspa.2000.0689
- B. M. Boghosian, J. Yepez, P. V. Coveney, and A. Wagner, Proc. R. Soc. London, Ser. A 457, 717 (2001). 10.1098/rspa.2000.0689
- (2001) Proc. R. Soc. London, Ser. A , vol.457 , pp. 717
- Boghosian, B.M.¹ Yepez, J.² Coveney, P.V.³ Wagner, A.⁴

11
- 34047156955
- 10.1103/PhysRevE.75.036712
- B. Keating, G. Vahala, J. Yepez, M. Soe, and L. Vahala, Phys. Rev. E 75, 036712 (2007). 10.1103/PhysRevE.75.036712
- (2007) Phys. Rev. e , vol.75 , pp. 036712
- Keating, B.¹ Vahala, G.² Yepez, J.³ Soe, M.⁴ Vahala, L.⁵

12
- 33645859586
- 10.1063/1.464316
- S. P. Dawson, S. Y. Chen, and G. D. Doolen, J. Chem. Phys. 98, 1514 (1993). 10.1063/1.464316
- (1993) J. Chem. Phys. , vol.98 , pp. 1514
- Dawson, S.P.¹ Chen, S.Y.² Doolen, G.D.³

13
- 0034225852
- 10.1016/S0010-4655(00)00112-0
- R. Blaak and P. M. Sloot, Comput. Phys. Commun. 129, 256 (2000). 10.1016/S0010-4655(00)00112-0
- (2000) Comput. Phys. Commun. , vol.129 , pp. 256
- Blaak, R.¹ Sloot, P.M.²

14
- 33750437748
- 10.1016/j.amc.2006.02.020
- X. M. Yu and B. C. Shi, Appl. Math. Comput. 181, 958 (2006). 10.1016/j.amc.2006.02.020
- (2006) Appl. Math. Comput. , vol.181 , pp. 958
- Yu, X.M.¹ Shi, B.C.²

15
- 4644301820
- 10.1103/PhysRevE.54.5041
- M. R. Swift, E. Orlandini, W. R. Osborn, and J. M. Yeomans, Phys. Rev. E 54, 5041 (1996). 10.1103/PhysRevE.54.5041
- (1996) Phys. Rev. e , vol.54 , pp. 5041
- Swift, M.R.¹ Orlandini, E.² Osborn, W.R.³ Yeomans, J.M.⁴

16
- 0033297205
- 10.1023/A:1023273603637
- Z. L. Guo, B. C. Shi, and N. C. Wang, J. Sci. Comput. 14, 291 (1999). 10.1023/A:1023273603637
- (1999) J. Sci. Comput. , vol.14 , pp. 291
- Guo, Z.L.¹ Shi, B.C.² Wang, N.C.³

17
- 0001021298
- 10.1080/08927020008044120
- X. Y. He, N. Li, and B. Goldstein, Mol. Simul. 25, 145 (2000). 10.1080/08927020008044120
- (2000) Mol. Simul. , vol.25 , pp. 145
- He, X.Y.¹ Li, N.² Goldstein, B.³

18
- 0000798766
- 10.1006/jcph.2000.6491
- R. G. M. van der Sman and M. H. Ernst, J. Comput. Phys. 160, 766 (2000). 10.1006/jcph.2000.6491
- (2000) J. Comput. Phys. , vol.160 , pp. 766
- Van Der Sman, R.G.M.¹ Ernst, M.H.²

19
- 33747631096
- 10.1103/PhysRevE.74.026705
- R. G. M. van der Sman, Phys. Rev. E 74, 026705 (2006). 10.1103/PhysRevE.74.026705
- (2006) Phys. Rev. e , vol.74 , pp. 026705
- Van Der Sman, R.G.M.¹

20
- 39449100552
- 10.1016/j.camwa.2007.08.016
- B. C. Shi, B. Deng, R. Du, and X. W. Chen, Comput. Math. Appl. 55, 1568 (2008). 10.1016/j.camwa.2007.08.016
- (2008) Comput. Math. Appl. , vol.55 , pp. 1568
- Shi, B.C.¹ Deng, B.² Du, R.³ Chen, X.W.⁴

21
- 33745910246
- 10.1088/1009-1963/15/7/010
- X.-M. Yu and B.-C. Shi, Chin. Phys. 15, 1441 (2006). 10.1088/1009-1963/ 15/7/010
- (2006) Chin. Phys. , vol.15 , pp. 1441
- Yu, X.-M.¹ Shi, B.-C.²

22
- 38349099347
- 10.1016/j.chaos.2006.07.023
- Z. H. Chai, B. C. Shi, and L. Zheng, Chaos, Solitons Fractals 36, 874 (2008). 10.1016/j.chaos.2006.07.023
- (2008) Chaos, Solitons Fractals , vol.36 , pp. 874
- Chai, Z.H.¹ Shi, B.C.² Zheng, L.³

23
- 44649186272
- 10.1016/j.apm.2007.06.033
- Z. H. Chai and B. C. Shi, Appl. Math. Model. 32, 2050 (2008). 10.1016/j.apm.2007.06.033
- (2008) Appl. Math. Model. , vol.32 , pp. 2050
- Chai, Z.H.¹ Shi, B.C.²

24
- 0036147348
- 10.1016/S0309-1708(01)00047-1
- X. X. Zhang, Adv. Water Resour. 25, 1 (2002). 10.1016/S0309-1708(01) 00047-1
- (2002) Adv. Water Resour. , vol.25 , pp. 1
- Zhang, X.X.¹

25
- 18144406452
- 10.1016/j.jcp.2004.12.010
- I. Rasin, S. Succi, and W. Miller, J. Comput. Phys. 206, 453 (2005). 10.1016/j.jcp.2004.12.010
- (2005) J. Comput. Phys. , vol.206 , pp. 453
- Rasin, I.¹ Succi, S.² Miller, W.³

26
- 26844449866
- 10.1016/j.advwatres.2005.03.004
- I. Ginzburg, Adv. Water Resour. 28, 1171 (2005). 10.1016/j.advwatres. 2005.03.004
- (2005) Adv. Water Resour. , vol.28 , pp. 1171
- Ginzburg, I.¹

27
- 0030516675
- 10.1007/BF02199356
- D. A. Meyer, J. Stat. Phys. 85, 551 (1996). 10.1007/BF02199356
- (1996) J. Stat. Phys. , vol.85 , pp. 551
- Meyer, D.A.¹

28
- 0001384024
- 10.1016/0167-2789(93)90096-J
- S. Succi and R. Benzi, Physica D 69, 327 (1993). 10.1016/0167-2789(93) 90096-J
- (1993) Physica D , vol.69 , pp. 327
- Succi, S.¹ Benzi, R.²

29
- 0000774128
- 10.1103/PhysRevE.53.1969
- S. Succi, Phys. Rev. E 53, 1969 (1996). 10.1103/PhysRevE.53.1969
- (1996) Phys. Rev. e , vol.53 , pp. 1969
- Succi, S.¹

30
- 0031519148
- 10.1142/S0129183197000606
- B. Boghosian and W. Taylor IV, Int. J. Mod. Phys. C 8, 705 (1997). 10.1142/S0129183197000606
- (1997) Int. J. Mod. Phys. C , vol.8 , pp. 705
- Boghosian, B.¹ Taylor, I.V.W.²

31
- 0037100204
- 10.1016/S0010-4655(02)00419-8
- J. Yepez and B. Boghosian, Comput. Phys. Commun. 146, 280 (2002). 10.1016/S0010-4655(02)00419-8
- (2002) Comput. Phys. Commun. , vol.146 , pp. 280
- Yepez, J.¹ Boghosian, B.²

32
- 0036104499
- 10.1023/A:1014514805610
- J. Yepez, J. Stat. Phys. 107, 203 (2002). 10.1023/A:1014514805610
- (2002) J. Stat. Phys. , vol.107 , pp. 203
- Yepez, J.¹

33
- 0037437102
- 10.1016/S0375-9601(03)00334-7
- G. Vahala, J. Yepez, and L. Vahala, Phys. Lett. A 310, 187 (2003). 10.1016/S0375-9601(03)00334-7
- (2003) Phys. Lett. A , vol.310 , pp. 187
- Vahala, G.¹ Yepez, J.² Vahala, L.³

34
- 31944441548
- 10.1016/j.physa.2005.09.029
- G. Vahala, L. Vahala, and J. Yepez, Physica A 362, 215 (2006). 10.1016/j.physa.2005.09.029
- (2006) Physica A , vol.362 , pp. 215
- Vahala, G.¹ Vahala, L.² Yepez, J.³

35
- 34547373014
- 10.1103/PhysRevE.75.066704;
- S. Palpacelli and S. Succi, Phys. Rev. E 75, 066704 (2007) 10.1103/PhysRevE.75.066704
- (2007) Phys. Rev. e , vol.75 , pp. 066704
- Palpacelli, S.¹ Succi, S.²

36
- 45849107624
- 10.1103/PhysRevE.77.066708
- S. Palpacelli and S. Succi, Phys. Rev. E 77, 066708 (2008). 10.1103/PhysRevE.77.066708
- (2008) Phys. Rev. e , vol.77 , pp. 066708
- Palpacelli, S.¹ Succi, S.²

37
- 57849134223
- S. Palpacelli and S. Succi, Commun. Comput. Phys. 4, 980 (2008).
- (2008) Commun. Comput. Phys. , vol.4 , pp. 980
- Palpacelli, S.¹ Succi, S.²

38
- 33749262447
- 10.1103/PhysRevE.74.036704
- L. H. Zhong, S. D. Feng, P. Dong, and S. T. Gao, Phys. Rev. E 74, 036704 (2006). 10.1103/PhysRevE.74.036704
- (2006) Phys. Rev. e , vol.74 , pp. 036704
- Zhong, L.H.¹ Feng, S.D.² Dong, P.³ Gao, S.T.⁴

39
- 37248998527
- 10.1007/978-3-540-72584-8-108
- B. C. Shi, Lect. Notes Comput. Sci. 4487, 818 (2007). 10.1007/978-3-540-72584-8-108
- (2007) Lect. Notes Comput. Sci. , vol.4487 , pp. 818
- Shi, B.C.¹

40
- 58949094891
- 10.1103/PhysRevE.79.016701
- B. C. Shi and Z. L. Guo, Phys. Rev. E 79, 016701 (2009). 10.1103/PhysRevE.79.016701
- (2009) Phys. Rev. e , vol.79 , pp. 016701
- Shi, B.C.¹ Guo, Z.L.²

41
- 33846844714
- 10.1016/j.jcp.2006.07.011
- H. Wang and H. Z. Tang, J. Comput. Phys. 222, 176 (2007). 10.1016/j.jcp.2006.07.011
- (2007) J. Comput. Phys. , vol.222 , pp. 176
- Wang, H.¹ Tang, H.Z.²

42
- 33646811510
- 10.1016/j.compfluid.2005.07.019
- R. G. M. van der Sman, Comput. Fluids 35, 849 (2006). 10.1016/j.compfluid.2005.07.019
- (2006) Comput. Fluids , vol.35 , pp. 849
- Van Der Sman, R.G.M.¹

43
- 0036334507
- 10.1088/1009-1963/11/4/310
- Z.-L. Guo, C.-G. Zheng, and B.-C. Shi, Chin. Phys. 11, 366 (2002). 10.1088/1009-1963/11/4/310
- (2002) Chin. Phys. , vol.11 , pp. 366
- Guo, Z.-L.¹ Zheng, C.-G.² Shi, B.-C.³

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