-
1
-
-
0001524186
-
On the change of form of long waves advancing in a rectangular channel and a new type of long stationary waves
-
Korteweg D.J., and de Vries G. On the change of form of long waves advancing in a rectangular channel and a new type of long stationary waves. Phil. Mag. 39 (1895) 422-443
-
(1895)
Phil. Mag.
, vol.39
, pp. 422-443
-
-
Korteweg, D.J.1
de Vries, G.2
-
2
-
-
67349247467
-
-
Hazewinkel M., Capel H.W., and de Jager E.M. (Eds), Kluwer Academic Publishers, Dordrecht
-
In: Hazewinkel M., Capel H.W., and de Jager E.M. (Eds). KdV 95, Proceedings of the International Symposium, Amsterdam (1995), Kluwer Academic Publishers, Dordrecht
-
(1995)
KdV 95, Proceedings of the International Symposium, Amsterdam
-
-
-
3
-
-
33846361348
-
Interaction of solitons in collisionless plasma and the recurrence of initial states
-
Zabusky N.J., and Kruskal M.D. Interaction of solitons in collisionless plasma and the recurrence of initial states. Phys. Rev. Lett. 15 (1965) 240-243
-
(1965)
Phys. Rev. Lett.
, vol.15
, pp. 240-243
-
-
Zabusky, N.J.1
Kruskal, M.D.2
-
6
-
-
35949016104
-
Lattice gas automata for the Navier-Stokes equations
-
Frisch U., Hasslacher B., and Pomeau Y. Lattice gas automata for the Navier-Stokes equations. Phys. Rev. Lett. 56 (1986) 1505-1508
-
(1986)
Phys. Rev. Lett.
, vol.56
, pp. 1505-1508
-
-
Frisch, U.1
Hasslacher, B.2
Pomeau, Y.3
-
7
-
-
84956111432
-
Lattice BGK model for Navier-Stokes equations
-
Qian Y.H., d'Humieres D., and Lallemand P. Lattice BGK model for Navier-Stokes equations. Europhys. Lett. 6 17 (1992) 479-484
-
(1992)
Europhys. Lett.
, vol.6
, Issue.17
, pp. 479-484
-
-
Qian, Y.H.1
d'Humieres, D.2
Lallemand, P.3
-
8
-
-
25344468527
-
Recovery of the Navier-Stokes equations using a lattice Boltzmann method
-
Chen H.D., Chen S.Y., and Matthaeus M.H. Recovery of the Navier-Stokes equations using a lattice Boltzmann method. Phys. Rev. A 45 (1992) 5339-5342
-
(1992)
Phys. Rev. A
, vol.45
, pp. 5339-5342
-
-
Chen, H.D.1
Chen, S.Y.2
Matthaeus, M.H.3
-
9
-
-
13844320326
-
The lattice Boltzmann equations: Theory and applications
-
Benzi R., Succi S., and Vergassola M. The lattice Boltzmann equations: Theory and applications. Phys. Reports 222 (1992) 147-197
-
(1992)
Phys. Reports
, vol.222
, pp. 147-197
-
-
Benzi, R.1
Succi, S.2
Vergassola, M.3
-
10
-
-
1542471855
-
Lattice Boltzmann method for fluid flows
-
Chen S.Y., and Doolen G.D. Lattice Boltzmann method for fluid flows. Annu. Fluid Mech. 3 (1998) 329-364
-
(1998)
Annu. Fluid Mech.
, vol.3
, pp. 329-364
-
-
Chen, S.Y.1
Doolen, G.D.2
-
11
-
-
84956073211
-
Lattice gas dynamics with enhanced collisions
-
Higuera F., Succi S., and Benzi R. Lattice gas dynamics with enhanced collisions. Europhys. Lett. 9 (1989) 345-349
-
(1989)
Europhys. Lett.
, vol.9
, pp. 345-349
-
-
Higuera, F.1
Succi, S.2
Benzi, R.3
-
12
-
-
84945118518
-
Boltzmann approach to lattice gas simulations
-
Higuera F., and Jimenez J. Boltzmann approach to lattice gas simulations. Europhys. Lett. 9 (1989) 663-668
-
(1989)
Europhys. Lett.
, vol.9
, pp. 663-668
-
-
Higuera, F.1
Jimenez, J.2
-
13
-
-
0034297477
-
Theory of the lattice Boltzmann method: Lattice Boltzmann method for nonideal gases
-
Luo L.S. Theory of the lattice Boltzmann method: Lattice Boltzmann method for nonideal gases. Phys. Rev. E 62 (2000) 4982-4996
-
(2000)
Phys. Rev. E
, vol.62
, pp. 4982-4996
-
-
Luo, L.S.1
-
14
-
-
11744361965
-
Lattice Boltzmann simulation of nonideal fluids
-
Swift M., Osborn W., and Yeomans J. Lattice Boltzmann simulation of nonideal fluids. Phys. Rev. Lett. 75 (1995) 830-833
-
(1995)
Phys. Rev. Lett.
, vol.75
, pp. 830-833
-
-
Swift, M.1
Osborn, W.2
Yeomans, J.3
-
15
-
-
4243307948
-
Lattice Boltzmann model of immiscible fluids
-
Gustensen K., Rothman D.H., Zaleski S., et al. Lattice Boltzmann model of immiscible fluids. Phys. Rev. A 43 (1991) 4320-4327
-
(1991)
Phys. Rev. A
, vol.43
, pp. 4320-4327
-
-
Gustensen, K.1
Rothman, D.H.2
Zaleski, S.3
-
16
-
-
34248593308
-
Three-dimensional multi-relaxation lattice Boltzmann models for multiphase flows
-
Premnath K.N., and Abraham J. Three-dimensional multi-relaxation lattice Boltzmann models for multiphase flows. J. Comput. Phys. 224 2 (2007) 539-559
-
(2007)
J. Comput. Phys.
, vol.224
, Issue.2
, pp. 539-559
-
-
Premnath, K.N.1
Abraham, J.2
-
17
-
-
33645859586
-
Lattice Boltzmann computations for reaction-diffusion equations
-
Dawson S.P., Chen S.Y., and Doolen G. Lattice Boltzmann computations for reaction-diffusion equations. J. Chem. Phys. 98 (1993) 1514-1523
-
(1993)
J. Chem. Phys.
, vol.98
, pp. 1514-1523
-
-
Dawson, S.P.1
Chen, S.Y.2
Doolen, G.3
-
18
-
-
0035322273
-
Migration of a van der Waals bubble: Lattice Boltzmann formulation
-
Holdych D.J., Georgiadis J.G., and Buckius R.O. Migration of a van der Waals bubble: Lattice Boltzmann formulation. Phys. Fluids 13 (2001) 817-825
-
(2001)
Phys. Fluids
, vol.13
, pp. 817-825
-
-
Holdych, D.J.1
Georgiadis, J.G.2
Buckius, R.O.3
-
19
-
-
84956119706
-
3-Dimensional flows in complex geometries with the lattice Boltzmann method
-
Succi S., Foti E., and Higuera F.J. 3-Dimensional flows in complex geometries with the lattice Boltzmann method. Europhys. Lett. 10 (1989) 433-438
-
(1989)
Europhys. Lett.
, vol.10
, pp. 433-438
-
-
Succi, S.1
Foti, E.2
Higuera, F.J.3
-
20
-
-
0028460854
-
Numerical simulations of particle suspensions via a discretized Boltzmann equation. Part 2. Numerical results
-
Ladd A. Numerical simulations of particle suspensions via a discretized Boltzmann equation. Part 2. Numerical results. J. Fluids Mech. 271 (1994) 311-339
-
(1994)
J. Fluids Mech.
, vol.271
, pp. 311-339
-
-
Ladd, A.1
-
21
-
-
0031215244
-
Lattice Boltzmann simulation of gas-particle flow in filters
-
Filippova O., and Hanel D. Lattice Boltzmann simulation of gas-particle flow in filters. Computer & Fluids 26 (1997) 697-712
-
(1997)
Computer & Fluids
, vol.26
, pp. 697-712
-
-
Filippova, O.1
Hanel, D.2
-
22
-
-
0000188679
-
Simple lattice Boltzmann model for simulating flows with shock wave
-
Yan G.W., Chen Y.S., and Hu S.X. Simple lattice Boltzmann model for simulating flows with shock wave. Phys. Rev. E 59 (1999) 454-459
-
(1999)
Phys. Rev. E
, vol.59
, pp. 454-459
-
-
Yan, G.W.1
Chen, Y.S.2
Hu, S.X.3
-
23
-
-
0033296251
-
Nonlinear stability of compressible thermal lattice BGK model
-
De Cicco M., Succi S., and Balla G. Nonlinear stability of compressible thermal lattice BGK model. SIAM J. Sci. Comput. 21 (1999) 366-377
-
(1999)
SIAM J. Sci. Comput.
, vol.21
, pp. 366-377
-
-
De Cicco, M.1
Succi, S.2
Balla, G.3
-
24
-
-
0036102064
-
A multi-speed compressible lattice Boltzmann model
-
Mason R.J. A multi-speed compressible lattice Boltzmann model. J. Stat. Phys. 107 (2002) 385-400
-
(2002)
J. Stat. Phys.
, vol.107
, pp. 385-400
-
-
Mason, R.J.1
-
25
-
-
42749098943
-
Lattice Boltzmann method for the compressible Euler equations
-
Art No. 056702
-
Kataoka T., and Tsutahara M. Lattice Boltzmann method for the compressible Euler equations. Phys. Rev. E 69 (2004) 5 Art No. 056702
-
(2004)
Phys. Rev. E
, vol.69
, pp. 5
-
-
Kataoka, T.1
Tsutahara, M.2
-
26
-
-
34548319593
-
A multi-energy-level lattice Boltzmann model for the compressible Navier-Stokes equations
-
Yan G.W., Zhang J.Y., Liu Y.H., and Dong Y.F. A multi-energy-level lattice Boltzmann model for the compressible Navier-Stokes equations. Int. J. Numer. Meth. Fluids 55 (2007) 41-56
-
(2007)
Int. J. Numer. Meth. Fluids
, vol.55
, pp. 41-56
-
-
Yan, G.W.1
Zhang, J.Y.2
Liu, Y.H.3
Dong, Y.F.4
-
27
-
-
0346478347
-
A lattice Boltzmann equation for waves
-
Yan G.W. A lattice Boltzmann equation for waves. J. Comput. Phys. 161 (2000) 61-69
-
(2000)
J. Comput. Phys.
, vol.161
, pp. 61-69
-
-
Yan, G.W.1
-
28
-
-
44649154938
-
Lattice Boltzmann method for one and two-dimensional Burgers equation
-
Zhang J.Y., and Yan G.W. Lattice Boltzmann method for one and two-dimensional Burgers equation. Physica A 387 (2008) 4771-4786
-
(2008)
Physica A
, vol.387
, pp. 4771-4786
-
-
Zhang, J.Y.1
Yan, G.W.2
-
31
-
-
57649111353
-
A higher-order moment method of the lattice Boltzmann model for the Korteweg-de Vries equation
-
Yan G.W., and Zhang J.Y. A higher-order moment method of the lattice Boltzmann model for the Korteweg-de Vries equation. Mathematics and Computers in Simulation 79 (2009) 1554-1565
-
(2009)
Mathematics and Computers in Simulation
, vol.79
, pp. 1554-1565
-
-
Yan, G.W.1
Zhang, J.Y.2
-
32
-
-
0035368785
-
Lattice Bhatnagar-Gross-Krook model for the Lorenz attractor
-
Yan G.W., and Yuan L. Lattice Bhatnagar-Gross-Krook model for the Lorenz attractor. Physica D 154 (2001) 43-50
-
(2001)
Physica D
, vol.154
, pp. 43-50
-
-
Yan, G.W.1
Yuan, L.2
-
33
-
-
44649186272
-
A novel lattice Boltzmann model for the Poisson equation
-
Chai Z.H., and Shi B.C. A novel lattice Boltzmann model for the Poisson equation. Appl. Math. Modell. 32 (2008) 2050-2058
-
(2008)
Appl. Math. Modell.
, vol.32
, pp. 2050-2058
-
-
Chai, Z.H.1
Shi, B.C.2
-
34
-
-
34548416145
-
Roughness and cavitations effect on electro-osmotic flows in rough microchannels using the lattice Poisson-Boltzmann methods
-
Wang M.R., Wang J.K., and Chen S.Y. Roughness and cavitations effect on electro-osmotic flows in rough microchannels using the lattice Poisson-Boltzmann methods. J. Comput. Phys. 266 (2007) 836-851
-
(2007)
J. Comput. Phys.
, vol.266
, pp. 836-851
-
-
Wang, M.R.1
Wang, J.K.2
Chen, S.Y.3
-
35
-
-
0000774128
-
Numerical solution of the Schrödinger equation using discrete kinetic theory
-
Succi S. Numerical solution of the Schrödinger equation using discrete kinetic theory. Phys. Rev. E 53 (1996) 1969-1975
-
(1996)
Phys. Rev. E
, vol.53
, pp. 1969-1975
-
-
Succi, S.1
-
36
-
-
34250619690
-
Lattice Boltzmann for quantum field theory
-
Succi S. Lattice Boltzmann for quantum field theory. J. Phys. A 40 (2007) F559-F567
-
(2007)
J. Phys. A
, vol.40
-
-
Succi, S.1
-
37
-
-
0036110343
-
A lattice Boltzmann model for anisotropic crystal growth from melt
-
Miller W., and Succi S. A lattice Boltzmann model for anisotropic crystal growth from melt. J. Stat. Phys. 107 (2002) 173-186
-
(2002)
J. Stat. Phys.
, vol.107
, pp. 173-186
-
-
Miller, W.1
Succi, S.2
-
38
-
-
33645859586
-
Lattice Boltzmann computations for reaction-diffusion equations
-
Dawson S.P., Chen S.Y., and Doolen G.D. Lattice Boltzmann computations for reaction-diffusion equations. J. Chem. Phys. 98 (1993) 1514-1523
-
(1993)
J. Chem. Phys.
, vol.98
, pp. 1514-1523
-
-
Dawson, S.P.1
Chen, S.Y.2
Doolen, G.D.3
-
41
-
-
0003421814
-
-
Academic Press, London
-
Dodd R.K., Eilbek J.C., Gibbon J.D., and Morris H.C. Solitons and Nonlinear Waves Equations (1984), Academic Press, London
-
(1984)
Solitons and Nonlinear Waves Equations
-
-
Dodd, R.K.1
Eilbek, J.C.2
Gibbon, J.D.3
Morris, H.C.4
-
42
-
-
0038667172
-
An efficient numerical method for solving the Korteweg-de Vries equation in a class of discontinuous functions
-
Rasulov M., and Coskun E. An efficient numerical method for solving the Korteweg-de Vries equation in a class of discontinuous functions. Applied Mathematics and Computation 102 (1999) 139-154
-
(1999)
Applied Mathematics and Computation
, vol.102
, pp. 139-154
-
-
Rasulov, M.1
Coskun, E.2
-
44
-
-
14844323002
-
Mass transport theory for the Toda lattice, dispersive and dissipative
-
Horii Z. Mass transport theory for the Toda lattice, dispersive and dissipative. Physica A 350 (2005) 349-378
-
(2005)
Physica A
, vol.350
, pp. 349-378
-
-
Horii, Z.1
-
45
-
-
0032184637
-
Radiation by weakly nonlinear shallow-water solitons due to higher-order dispersion
-
Karpman V.I. Radiation by weakly nonlinear shallow-water solitons due to higher-order dispersion. Phys. Rev. E 58 (1998) 5070-5080
-
(1998)
Phys. Rev. E
, vol.58
, pp. 5070-5080
-
-
Karpman, V.I.1
-
46
-
-
0035420846
-
Compacton solutions in a class of generalized fifth-order Korteweg-de Vries equations
-
Cooper F., James M., Hyman J.M., and Khare A. Compacton solutions in a class of generalized fifth-order Korteweg-de Vries equations. Phys. Rev. E 64 (2001) 026608-1
-
(2001)
Phys. Rev. E
, vol.64
, pp. 026608-1
-
-
Cooper, F.1
James, M.2
Hyman, J.M.3
Khare, A.4
-
48
-
-
0347592989
-
Truncation error analysis of lattice Boltzmann methods
-
Holdych D.J., Noble D.R., Georgiadis J.G., et al. Truncation error analysis of lattice Boltzmann methods. J. Comput. Phys. 193 (2004) 595-619
-
(2004)
J. Comput. Phys.
, vol.193
, pp. 595-619
-
-
Holdych, D.J.1
Noble, D.R.2
Georgiadis, J.G.3
-
49
-
-
0000544099
-
Heuristic stability theory for finite-difference equations
-
Hirt C.W. Heuristic stability theory for finite-difference equations. J. Comput. Phys. 2 (1968) 339-355
-
(1968)
J. Comput. Phys.
, vol.2
, pp. 339-355
-
-
Hirt, C.W.1
-
50
-
-
38349099347
-
A unified lattice Boltzmann model for some nonlinear partial differential equations
-
Chai Z.H., Shi B.C., and Zheng L. A unified lattice Boltzmann model for some nonlinear partial differential equations. Chaos, Solitons and Fractals 36 (2008) 874-882
-
(2008)
Chaos, Solitons and Fractals
, vol.36
, pp. 874-882
-
-
Chai, Z.H.1
Shi, B.C.2
Zheng, L.3
|