Journal Papers

2009

58. F. Verhaeghe, L.-S. Luo, and B. Blanpain,
Lattice Boltzmann modeling of microchannel flow in slip flow regime,
Journal of Computational Physics 228(1):147-157 (2009).
[Journal Article (PDF)]

2008

57. W. Liao, B. Diskin, Y. Peng, and L.-S. Luo,
Textbook-efficient multigrid solver for three-dimensional unsteady compressible Navier-Stokes equations,
Journal of Computational Physics 227(15):7160-7177 (2008).
[Journal Article (PDF)]
56. Z. Guo, H. Liu, L.-S. Luo, and K. Xu,
A comparative study of the LBE and GKS methods for 2D near incompressible laminar flows,
Journal of Computational Physics 227(10):4955-4976 (2008).
[Journal Article (PDF)]
55. Y. Peng and L.-S. Luo,
A comparative study of immersed-boundary and interpolated bounce-back methods in LBE,
Progress in Computational Fluid Dynamics 8(1-4):156-167 (2008).
[Journal Article PDF]
54. W. Liao, Y. Peng, L.-S. Luo, and K. Xu,
Modified gas-kinetic scheme for shock structures in argon,
Progress in Computational Fluid Dynamics 8(1-4):97-108 (2008).
[Journal Article PDF]
53. R. Rubinstein and L.-S. Luo,
Theory of the Lattice Boltzmann Equation: Symmetry properties of discrete velocity set,
Physical Review E 77(3):036709 (2008).
[Journal Article PDF]
52. P. Asinari and L.-S. Luo,
A consistent lattice Boltzmann equation with baroclinic coupling for mixture,
Journal of Computational Physics 227(8):3878-3895 (2008).
[Journal Article (PDF)]

2007

51. W. Liao, L.-S. Luo, and K. Xu,
Gas-kinetic scheme for continuum and near-continuum hypersonic flows,
AIAA Journal of Spacecraft and Rockets 44(6):1232-1240 (2007).
[Journal Article (PDF)]
50. P. Lallemand, L.-S. Luo, and Y. Peng,
A lattice Boltzmann front-tracking method for interface dynamics with surface tension in two dimensions,
Journal of Computational Physics 226(2):1367-1384 (2007).
[Journal Article (PDF)]
49. M. Cheng and L.-S. Luo,
Characteristics of two-dimensional flow around a rotating circular cylinder near a plane wall,
Physics of Fluids 19(6):063601 (2007).
[Journal Article (PDF)]

2006

48. H. Yu, L.-S. Luo, and S.S. Girimaji,
LES of turbulent square jet flow using an MRT lattice Boltzmann model,
Computers & Fluids 35(8/9):957-965 (2006).
[Journal Article (PDF)]
47. C. Pan, L.-S. Luo, and C.T. Miller,
An evaluation of lattice Boltzmann schemes for porous medium flow simulation,
Computers & Fluids 35(8/9):898-909 (2006).
[Journal Article (PDF)]
46. R. Mei, L.-S. Luo, P. Lallemand, D. d'Humières,
Consistent initial conditions for lattice Boltzmann simulations,
Computers & Fluids 35(8/9):855-862 (2006).
[Journal Article (PDF)]
45. M. Cheng, Q. Yao, and L.-S. Luo,
Simulation of flow past a rotating circular cylinder near a plane wall,
International Journal of Computational Fluid Dynamics 20(6):391-400 (2006).
[Journal Article (PDF)]

2005

44. W.A. Yong and L.-S. Luo,
Nonexistance of H theorem for some lattice Boltzmann models,
Journal of Statistical Physics 121(1/2):91-103 (October 2005).
[Journal Article (PDF)]
43. M. Junk, A. Klar, and L.-S. Luo,
Asymptotic analysis of the lattice Boltzmann equation,
Journal of Computational Physics 210(2):676-704 (December 2005).
[Journal Article (PDF)]
42. H. Yu, S.S. Girimaji, and L.-S. Luo,
DNS and LES of decaying isotropic turbulence with and without frame rotation using lattice Boltzmann method,
Journal of Computational Physics 209(2):599-616 (November 2005).
[Journal Article (PDF)]
41. H. Yu, S.S. Girimaji, and L.-S. Luo,
Lattice Boltzmann simulations of decaying homogeneous isotropic turbulence,
Physical Review E 71(1):016708 (January 2005).
[Journal Article (PDF)]

2004

40. L.-S. Luo,
Comment on ``Discrete Boltzmann Equation for Microfluidics'',
Physical Review Letters 92(13):139401 (March 2004).
[Journal Article (PDF)]
39. R. Rubinstein, T. T. Clark, D. L. Livescu, and L.-S. Luo,
Time-dependent isotropic turbulence,
Journal of Turbulence 5:011 (March 2004).
[Journal Article (PDF)]

2003

38. P. Lallemand and L.-S. Luo,
Theory of the lattice Boltzmann method: Acoustic and thermal properties in two and three dimensions,
Physical Review E 68(3):036706 (September 2003).
[Journal Article (PDF)]
37. D. Yu, R. Mei, L.-S. Luo, and W. Shyy,
Viscous flow computations with the method of lattice Boltzmann equation,
Progress in Aerospace Sciences 39(5):329-367 (July 2003).
[Journal Article (PDF)]
36. W.-A. Yong and L.-S. Luo,
Nonexistence of H theorems for the athermal lattice Boltzmann models with polynomial equilibria,
Physical Review E 67(5):051105 (May 2003).
[Journal Article (PDF)]
35. L.-S. Luo and S. S. Girimaji,
Theory of the lattice Boltzmann method: Two-fluid model for binary mixtures,
Physical Review E 67(3):036302 (March 2003).
[Journal Article (PDF)]
34. D. Qi and L.-S. Luo,
Rotational and orientational behaviour of a three-dimensional spheroidal particles in Couette flow,
Journal of Fluid Mechanics 477:201-213 (February 2003).
[Journal Article (PDF)]
33. P. Lallemand, D. d'Hmières, L.-S. Luo, and R. Rubinstein,
Theory of the lattice Boltzmann method: Three-dimensional model for linear viscoelastic fluids,
Physical Review E 67(2):021203 (February 2003).
[Journal Article (PDF)]
32. P. Lallemand and L.-S. Luo,
Hybrid finite-difference thermal lattice Boltzmann equation,
International Journal of Modern Physics B 17(1/2):41-47 (January 2003).
[Journal Article (PDF)]
31. M. Krafczyk, J. Tölke, and L.-S. Luo,
Large-eddy simulations with a multiple-relaxation-time LBE model,
International Journal of Modern Physics B 17(1/2):33-39 (January 2003).
[Journal Article (PDF)]
30. P. Lallemand and L.-S. Luo,
Lattice Boltzmann method for moving boundaries,
Journal of Computational Physics 184(2):406-421 (January 2003).
[Journal Article (PDF)]

2002

29. D. Qi and L.-S. Luo,
Transitions in rotations of a nonspherical particle in a three-dimensional moderate Reynolds number Couette flow,
Physics of Fluids 14(12):4440-4443 (December 2002).
[Journal Article (PDF)]
28. L.-S. Luo and S. S. Girimaji,
Lattice Boltzmann model for binary mixtures,
Physical Review E 66(4):035301(R) (September 2002).
[Journal Article (PDF)]
27. R. Mei, D. Yu, W. Shyy, and L.-S. Luo,
Force evaluation in the lattice Boltzmann method involving curved geometry,
Physical Review E 65(4):041203 (April 2002).
[Journal Article (PDF) or ICASE Report 2002-22]
26. D. P. Lockard, L.-S. Luo, S. D. Milder, and B. A. Singer,
Evaluation of PowerFLOW for aerodynamic applications,
Journal of Statistical Physics 107(1/2):423-478 (April 2002).
[Journal Article (PDF) or ICASE Report 2000-40]
25. D. Qi, L.-S. Luo, R. Aravamuthan, and W. Strieder,
Lateral migration and orientation of elliptical particles in Poiseuille flows,
Journal of Statistical Physics 107(1/2):101-120 (April 2002).
[Journal Article (PDF) or ICASE Report 2002-21]
24. H. Yu, L.-S. Luo, and S. S. Girimaji,
Scalar mixing and chemical reaction simulations using lattice Boltzmann method,
International Journal of Computational Engineering Science 3(1):73-87 (March 2002).
[Journal Article (PDF)]
23. D. d'Humières, I. Ginzburg, M. Krafczyk, P. Lallemand, and L.-S. Luo,
Multiple-relaxation-time lattice Boltzmann models in three-dimensions,
Philosophical Transactions of Royal Society of London A 360(1792):437-451 (March 2002).
[Journal Article (PDF) or ICASE Report 2002-20]

2001

22. M. Bouzidi, D. d'Humières, P. Lallemand, and L.-S. Luo,
Lattice Boltzmann equation on a two-dimensional rectangular grid,
Journal of Computational Physics 172:704-717 (2001).
[Journal Article (PDF) or ICASE Report 2000-18]

2000

21. L.-S. Luo,
Theory of the lattice Boltzmann method: Lattice Boltzmann models for nonideal gases,
Physical Review E 62(4):4982-4996 (October 2000).
[Journal Article (PDF) or ICASE Report 2001-8]
20. R. Mei, W. Shyy, D. Yu, and L.-S. Luo,
Lattice Boltzmann method for 3-D flows with curved boundary,
Journal of Computational Physics 161:680-699 (July 2000)
[Journal Article (PDF) or ICASE Report 2002-17]
19. L.-S. Luo,
Some recent results on discrete velocity model and ramifications for lattice Boltzmann equation,
Computer Physics Communications 129(1-3):63-74 (July 2000).
[Journal Article (PDF) or ICASE Report 2000-7]
18. P. Lallemand and L.-S. Luo,
Theory of the lattice Boltzmann method: Dispersion, dissipation, isotropy, Galilean invariance, and stability,
Physical Review E 61:6546-6562 (June 2000).
[Journal Article (PDF) or ICASE Report 2000-17, and Erratum]

1999

17. R. Mei, L.-S. Luo, and W. Shyy,
An accurate curved boundary treatment in the lattice Boltzmann method,
Journal of Computational Physics 155:307-330 (1999).
[Journal Article (PDF) or ICASE Report 2000-6]

1998

16. K. Xu and L.-S. Luo,
Connection between lattice Boltzmann method and beam scheme,
International Journal of Modern Physics C 9(8):1177-1187 (1998).
[Journal Article (PDF) or ICASE Report 1999-10]
15. L.-S. Luo,
Unified Theory of the lattice Boltzmann models for nonideal gases,
Physical Review Letters 81(8):1618-1621 (August 1998).
[Journal Article (PDF)] or ICASE Report 1998-41]

1997

14. X. He and L.-S. Luo,
Theory of lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation,
Physical Review E 56(6):6811-6817 (December 1997).
[Journal Article (PDF)]
13. X. He and L.-S. Luo,
A priori derivation of the lattice Boltzmann equation,
Physical Review E 55:R6333-R6336 (June 1997).
[Journal Article (PDF)]
12. L.-S. Luo,
Lattice Boltzmann simulation of symmetry breaking of the flow in 2-D symmetric channels with expansion,
International Journal of Modern Physics C 8(4):859-867 (1997).
[Journal Article (PDF)]
11. L.-S. Luo,
Analytic solutions of linearized lattice Boltzmann equation,
Journal of Statistical Physics 88(3/4):913-926 (1997).
[Journal Article (PDF)]
10. X. He and L.-S. Luo,
Lattice Boltzmann model for the incompressible Navier-Stokes equation,
Journal of Statistical Physics 88(3/4):927-944 (1997).
[Journal Article (PDF)]
9. X. He, Q. Zou, L.-S. Luo, and M. Dembo,
Analytic solutions and analysis on non-slip boundary condition for the lattice Boltzmann BGK model,
Journal of Statistical Physics 87(1/2):115-136 (1997).
[Journal Article (PDF)]
8. X. He, L.-S. Luo, and M. Dembo,
Some progress in lattice Boltzmann method: Enhancement of Reynolds number in simulations,
Physica A 239:276-285 (1997).
[Journal Article (PDF)]

1996

7. X. He, L.-S. Luo, and M. Dembo,
Some progress in lattice Boltzmann method: Part I. Nonuniform mesh grids,
Journal of Computational Physics 129:357-363 (1996).
[Journal Article (PDF)]
6. L.-S. Luo and G. D. J. Phillies,
Brownian motion through a two-dimensional Lennard-Jones glass: Trapping, hopping, and diffusion,
Journal of Chemical Physics 105(2):598-604 (July 1996).
[Journal Article (PDF)]

1995 and earlier

5. L.-S. Luo, G. D. J. Phillies, L. Colonna-Romano, and H. Gould,
Brownian motion on a square Lennard-Jones lattice: Trapping, hopping, and diffusion,
Physical Review E 51(1):43-52 (January 1995).
[Journal Article (PDF)]
4. L.-S. Luo, H. Chen, S. Chen, G. D. Doolen, and Y.-C. Lee,
Generalized hydrodynamic transport in lattice gas automata,
Physical Review A, Rapid Communications 43:R7097-R7100 (1991).
[Journal Article (PDF)]
3. S.-L. Peng and L.-S. Luo,
The ordering of critical periodic points in coordinate space by symbolic dynamics,
Physics Letters A 153:345-352 (1991).
2. C. Handy, L.-S. Luo, G. Mantica, and A. Msezane,
Exact bounds to 1-dimensional potential scattering amplitude through the classical theory of moments,
Physical Review A 38(1):490-493 (July 1988).
[Journal Article (PDF)]
1. L.-S. Luo and J. Nuttall,
Approximation theory and calculation of energies from divergent perturbation series,
Physical Review Letters 57(18):2241-2243 (November 1986).
[Journal Article (PDF)]

Send comments to Li-Shi Luo at: lluo@odu.edu