Journal Papers

2021

90. Pierre Lallemand, Lizhen Chen, Gerard Labrosse, Li-Shi Luo.
Stokes Eigenmodes on Two Dimensional Polygons.
Computers & Fluids 228:105069 (2021).
[Journal Article (PDF)]
89. Pierre Lallemand, Li-Shi Luo, Manfred Krafczyk, Wen-An Yong.
The lattice Boltzmann method for nearly incompressible flows.
Journal of Computational Physics 411:109713 (2021).
[Journal Article (PDF)]

2020

88. Zekang Cheng, Jie Li, Ching Y. Loh, Li-Shi Luo.
An exactly force-balanced boundary-conforming arbitrary-Lagrangian-Eulerian method for interfacial dynamics.
Journal of Computational Physics 408:109237 (2020).
[Journal Article (PDF)]
87. Pierre Lallemand and Li-Shi Luo.
Lattice Boltzmann with Overset method for moving objects in two-dimensional flows.
Journal of Computational Physics 407:109223 (2020).
[Journal Article (PDF)]
86. Zydrunas Gimbutas, Shidong Jiang, Li-Shi Luo.
Evaluation of Abramowitz functions in the right half of the complex plane.
Journal of Computational Physics 405:109169 (2020).
[Journal Article (PDF)]

2019

85. Changjuan Zhang, Abbas Fakhari, Jie Li, Li-Shi Luo, and Tiezheng Qian.
A comparative study of interface-conforming ALE-FE scheme and diffuse interface AMR-LB scheme for interface dynamicss.
Journal of Computational Physics 395:602-619 (2019).
[Journal Article (PDF)]

2018

84. Changjuan Zhang, Jie Li, Li-Shi Luo, and Tiezheng Qian.
Numerical simulation for a rising buble interacting with a solid wall: impact, bounce, and thin film dynamics.
Physics of Fluids 30:112106 (2018).
[Journal Article (PDF)]
83. H. Huang, L.-S. Luo, R. Li, J. Chen, and H. Zhang.
Improve the efficiency of the Cartesian tensor based fast multipole method for Coulomb interaction using the traces.
Journal of Computational Physics 371:122-136 (2018).
[Journal Article (PDF)]
82. S.J. Li, L.-S. Luo, Z.J. Wang, and L.L. Ju.
An implicit block LU-SGS finite-volume lattice-Boltzmann scheme for steady flows on arbitrary unstructured meshes.
Journal of Computational Physics 365:206-225 (2018).
[Journal Article (PDF)]

2017

81. A. Fakhari, D. Bolster, and L.-S. Luo.
A weighted multiple-relaxation-time lattice Boltzmann method for multiphase flows and its applications to partial coalescence cascades.
Journal of Computational Physics 341:22-43 (2017).
[Journal Article (PDF)]
80. W.F. Zhao, W.-A. Yong, and L.-S. Luo.
Stability analysis of a class of globally hyperbolic moment system .
Communications in Mathematical Sciences 15(3):609-633 (March 2017).
[Journal Article (PDF)]

2016

79. W.D. Li and L.-S. Luo.
An implicit block LU-SGS finite-volume lattice-Boltzmann scheme for steady flows on arbitrary unstructured meshes.
Journal of Computational Physics 327:503-518 (December, 2016).
[Journal Article (PDF)]
78. X. Yang, Y. Mehmani, W.A. Perkins, A. Pasquali, M. Schoenherr, K. Kim, M. Perego, M.L. Parks, N. Trask, M.T. Balhoff, M.C. Richmond, M. Geier, M. Krafczyk, L.-S. Luo, A.M. Tartakovsky, T.D. Scheibe.
Intercomparison of 3D pore-scale flow and solute transport simulation methods.
Advances in Water Resources 95:176-189 (September, 2016).
[Journal Article (PDF)]
77. W.D. Li and L.-S. Luo.
Finite volume lattice Boltzmann method for nearly incompressible flows on arbitrary unstructured meshes.
Communications in Computational Physics 20(2):301-324 (August, 2016).
[Journal Article (PDF)]
76. S.D. Jiang and L.-S. Luo.
Analysis and accurate numerical solutions of the integral equation derived from the linearized BGKW equation for the steady Couette flow.
Journal of Computational Physics 316:416-434 (April, 2016).
[Journal Article (PDF)]
75. L.Z. Chen, G. Labrosse, P. Lallemand, and L.-S. Luo.
Spectrally accurate Stokes eigen-modes on isosceles triangles.
Computers & Fluids 132:1-9 (March 2016).
[Journal Article (PDF)]
74. W.-A. Yong, W.F. Zhao, and L.-S. Luo.
Theory of the Lattice Boltzmann method: Derivation of macroscopic equations via the Maxwell iteration.
Physical Review E 93(3):033310 (March 2016).
[Journal Article (PDF)]

2015

73. W. Li, L.-S. Luo, and J. Shen.
Accurate solution and approximations of the linearized BGK equation for steady Couette flow.
Computers & Fluids 111:18-32 (16 April 2015).
[Journal Article (PDF)]

2014

72. D. Contrino, P. Lallemand, P. Asinari, and L.-S. Luo.
Lattice-Boltzmann simulations of the thermally driven 2D square cavity at high Rayleigh numbers.
Journal of Computational Physics 275:257-272 (15 October 2014).
[Journal Article (PDF)]
71. L. Chen, J. Shen, C. Xu, and L.-S. Luo.
Parallel spectral-element direction splitting method for incompressible Navier-Stokes equations.
Applied Numerical Mathematics 84:66-79 (October 2014).
[Journal Article (PDF)]

2013

70. J. Wang, D.H. Wang, P. Lallemand, and L.-S. Luo.
Lattice Boltzmann simulations of thermal convective flows in two dimensions.
Computers and Mathematics with Applications 65(2):262-286 (January 2013).
[Journal Article (PDF)]

2012

69. W.-A. Yong and L.-S. Luo.
Accuracy of the viscous stress in the lattice Boltzmann equation with simple boundary conditions.
Physical Review E 86(6):065701 (December 2012).
[Journal Article (PDF)]
68. L.-S. Luo.
Reply to "Comment on 'Numerics of the lattice Boltzmann method: Effects of collision models on the lattice Boltzmann simulations'".
Physical Review E 86(4):048701 (October 2012).
[Journal Article (PDF)]
The Comment by Karlin, Succi, and Chikatamarla (KSC): Version 1; Version 2; Published Version.

2011

67. L.-S. Luo.
Comment on "Heat transfer and fluid flow in microchannels and nanochannels at high Knudsen number using thermal lattice-Boltzmann method".
Physical Review E 84(4):048301 (October 2011).
[Journal Article (PDF), The Reply by Ghazanfarian and Abbassi]
66. L.-S. Luo, W. Liao, X. Chen, Y. Peng, and W. Zhang.
Numerics of the lattice Boltzmann method: Effects of collision models on the lattice Boltzmann simulations.
Physical Review E 83(5):056710 (May 2011).
[Journal Article (PDF)]

2010

65. L.-S. Luo, M. Krafczyk, and W. Shyy.
Lattice Boltzmann Method for Computational Fluid Dynamics.
Encyclopedia of Arospace Engineering Chapter 56:651-660 (2010).
[Article (PDF)]
64. M. Cheng, J. Lou, and L.-S. Luo.
Numerical study of a vortex ring impacting a flat wall.
Journal of Fluid Mechanics 660:430-455 (September, 2010).
[Journal Article (PDF)]
63. W. Liao, Y. Peng, and L.-S. Luo.
Effects of multitemperature nonequilibrium on compressible homogeneous turbulence.
Physical Review E 81(4):046704 (April, 2010).
[Journal Article (PDF)]
62. Y. Peng, W. Liao, L.-S. Luo, and L.-P. Wang.
Comparison of the lattice Boltzmann and pseudo-spectral methods for decaying turbulence: Low-order statistics.
Computers & Fluids 39(4):568-591 (April, 2010).
[Journal Article (PDF)]
This paper was originally submitted to J. Comput. Phys. on Aug. 8, 2008, and was rejected on Dec. 12, 2008 with one positive and one negative reviews. The review comments and the editor's decision can be seen here.

2009

61. W. Liao, Y. Peng, and L.-S. Luo.
Gas-kinetic schemes for direct numerical simulations of compressible homogeneous turbulence.
Physical Review E 80(4):046702 (October, 2009).
[Journal Article (PDF)]
60. A. Mussa, P. Asinari, and L.-S. Luo.
Lattice Boltzmann simulations of 2D laminar flows past two tandem cylinders.
Journal of Computational Physics 228(4):983-999 (March, 2009).
[Journal Article (PDF)]
59. 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 (January, 2009).
[Journal Article (PDF)]

2008

58. P. Lallemand and L.-S. Luo.
Comment on "Alternative approach to the solution of the dispersion relation for a generalized lattice Boltzmann equation".
Physical Review E 78(6):068701 (December, 2008).
[Journal Article (PDF)]
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 (July, 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 (May, 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 (March, 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 (April, 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 (November, 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 (October, 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 (June, 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 (September, 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 (September, 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 (September, 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 (July, 2006).
[Journal Article (PDF)]

2005

44. 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)]
43. 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)]
42. 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)]
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 (June, 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(6-7):345-352 (March, 1991).
[Journal Article (PDF)]
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