Professor & Eminent Scholar & Richard F. Barry Endowed Chair
Mathematics & Statistics

Li-Shi Luo

757-683-5295
http://www.lions.odu.edu/~lluo

2109 ENGR & COMP SCI BLDG
NORFOLK, 23529

Ph.D. in Physics, Georgia Institute of Technology, (1993)

M.S. in Physics, University of Western Ontario, (1986)

Other in Electrical Engineering, Fuzhou University, (1982)

Contracts, Grants and Sponsored Research

Luo, L. "Efficent High-Order Algorithms for Nonequilibrium Microflows Over Knudsen No" $162,500. Federal. July 1, 2017 - June 30, 2020
Luo, L. "Huang Support FY18" $34,425. Other. October 1, 2017 - August 31, 2018
Luo, L. "He Huang - J Lab Support FY18" $3,130. Other. September 1, 2017 - August 31, 2018
Luo, L. "Beijing Computational Science Research Center (CSRC), Part-Time, Luo Spring 2018" $14,000. Foreign. January 1, 2018 - May 15, 2018
Luo, L. "Proposal For Supporting US Participation In Icmmes-2016, Hamburg, Germany, 7/18-22, 2016" $25,000. Federal. July 15, 2016 - June 30, 2017
Luo, L., Hu, F. Q., Liao, W. and Peng, Y. "High-order multiscale methods for nonequilibrium flows" $604,951. Federal. September 1, 2009 - August 31, 2012
Camasa, R. and Luo, L. "Proposal 0739409, Collaborative proposal: Southeastern Atlantic Mathematical Sciences Workshop" $36,570. Federal. September 01, 2008 - August 31, 2011
Luo, L. and Beskok, A. "0807983, A Unified Modeling Approach for Micro- and Nano-Scale Gas Flows" $265,000. July 1, 2008 - June 30, 2011
Peng, Y., Luo, L., Liao, W. and Qian, S. "Numerical and experimental study of complex bio-fluids in microfluidic lab-on-a-chip for bio-medical applications" $70,599. Old Dominion University. January 1, 2010 - June 30, 2010
Luo, L., Abraham, J., Girimaji, S., Ladd, A. and Mavriplis, D. "Proposal CBETS-0935928, Collaborative proposal to support US participation in ICMMES" $35,000. Federal. July 1, 2009 - June 30, 2010
Beskok, A., Luo, L., Qian, S., Ferdjallah, M. and Stacey, M. W. "Multi-scale modeling of nano-particle cell dynamics" $999,998. Federal. - 2009
Zhou, R. and Luo, L. "Distinguished visitor seminars: Multiscale modeling and simulations for soft matter and complex fluids" $10,000. Old Dominion University. September 2006 - December 2009
Luo, L., Liao, W. and Peng, Y. "Computing using general purpose graphic processing units (NNL08AA00C)" $30,000. Federal. June 24, 2008 - October 31, 2009
Luo, L. "Proposal 0500213, Collaborative research: Efficient lattice Boltzmann methods for multiphase and multicomponent flows" $80,000. Federal. June 15, 2005 - June 14, 2009
Girimaji, S. S., Austin, J., Bowersox, R., Elliott, G., Grossman, B., Lucht, R. P., Luo, L., North, S. and Reed, H. L. "MURI Proposal (Topic 19): To investigate and characterize non-thermochemistry equilibrium effects on turbulence physics" $403,478. Federal. June 15, 2004 - May 31, 2009
Luo, L., Abraham, J., Girimaji, S., Ladd, A. and Mavriplis, D. "Proposal CBETS-0827259, Collaborative proposal to support US participation in ICMMES" $13,000. Federal. June 1, 2008 - May 30, 2009
Luo, L., Liao, W. and Peng, Y. "Computing using general purpose graphic processing units" $19,000. Old Dominion University. - 2008
Luo, L. "Unified computational modeling of mixed continuum-rarefied flows" $120,034. Federal. May 18, 2004 - September 30, 2008
Luo, L. "Unified computational modeling of mixed continuum-rarefied flows" $120,034. Federal. May 18, 2004 - September 30, 2008
Camasa, R. and Luo, L. "Proposal 0739408, Collaborative proposal: Southeastern Atlantic Mathematical Sciences Workshop" $12,190. Federal. September 01, 2007 - August 31, 2008
Greene, L. Hope., Luo, L., Pothen, A., Osgood, C. J. and Hatcher, P. G. "Elucidation of protein structure networks and beyond" $80,000. Old Dominion University. January 01, 2008 - June 30, 2008
Luo, L., Abraham, J., Beskok, A., Ladd, A. and Mavriplis, D. "Proposal CBETS-0733134, Collaborative proposal to support US participation in ICMMES" $1,500. Federal. July 1, 2007 - June 30, 2008
Luo, L. "Contingent support for NSF proposal CBETS-0733134" $2,500. Old Dominion University. - 2007
Luo, L., Liao, W. and Peng, Y. "Development and implementation of effective multigrid solvers for the compressible Navier-Stokes equations in 3D" $60,000. Federal. April 1, 2007 - September 25, 2007
Calini, A., Camasa, R., Luo, L. and Schober, C. "Proposal 0407843, Collaborative proposal: Southeastern applied mathematic days" $60,471. Federal. September 1, 2004 - August 31, 2007
Luo, L., Abraham, J., Girimaji, S., Ladd, A. and Mavriplis, D. "Proposal CBETS-0553501, Collaborative proposal to support US participation in ICMMES" $16,600. Federal. July 15, 2006 - August 14, 2007
Scharrer, J. K., Wu, C. X.-G.., Luo, L. and Liao, W. "STTR N06-T015: High cycle fatigue of integrally bladed rotors" $30,000. Federal. September 1, 2006 - July 30, 2007
Luo, L. "Contingent support for NSF proposal CBETS-0553501" $2,000. Other. - 2006
Luo, L. "Contingent support for NSF proposal CBETS-0553501" $2,000. Other. - 2006
Luo, L. "Contingent support for NSF proposal CBETS-0553501" $2,600. Old Dominion University. - 2006
Luo, L. and Liao, W. "Develop and implement effective multigrid solvers for the compressible Navier-Stokes equation in 3D " $45,005. Federal. May 16, 2006 - September 27, 2006

Research Interests

Complex fluids, non-equilibrium statistical mechanics, kinetic theory, computational fluid dynamics, approximation theory, scientific computing

Articles

Song, G., Novotny, E. H.., Mao, J. and Hayes, M. H.B.. (2017). Characterization of transformations of maize residues into soil organic matter. Science of The Total Environment 579 , pp. 1843 - 1854.
Wang, J., Wang, D. H.., Lallemand, P. and Luo, L. (2013). Lattice Boltzmann simulations of thermal convective flows in two dimensions. Computers & Mathematics with Applications 65 (2) , pp. 262-286.
Yong, W. A.. and Luo, L. (2012). Accuracy of the viscous stress in the lattice Boltzmann equation with simple boundary conditions. Physical Review E 86 (6).
Luo, L. (2012). Reply to “Comment on ‘Numerics of the lattice Boltzmann method: Effects of collision models on the lattice Boltzmann simulations’”. Physical Review E 86 (4) , pp. 048701.
Luo, L. (2011). 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).
Luo, L., Liao, W., Chen, X., Peng, Y. and Zhang, W. (2011). Numerics of the lattice Boltzmann method: Effects of collision models on the lattice Boltzmann simulations. Physical Review E 83 (5).
Peng, Y., Liao, L. Wei., Luo, L. and Wang, L. (2010). Comparison of the lattice Boltzmann and pseudo-spectral methods for decaying turbulence: Low-order statistics. Computers & Fluids 39 , pp. 568-591.
Liao, W., Peng, Y. and Luo, L. (2010). Effects of multitemperature nonequilibrium on compressible homogeneous turbulence. Physical Review E 81 (4).
Cheng, M., Lou, J. and Luo, L. (2010). Numerical study of a vortex ring impacting a flat wall. Journal of Fluid Mechanics 660 , pp. 430-455.
Liao, W., Peng, Y. and Luo, L. (2009). Gas-kinetic schemes for direct numerical simulations of compressible homogeneous turbulence. Physical Review E 80 , pp. 046702.
Verhaeghe, F., Luo, L. and Blanpain, B. (2009). Lattice Boltzmann Modeling of Microchannel Flow in Slip Flow Regime. Journal of Computational Physics 228 (1) , pp. 147-157.
Mussa, A., Asinari, P. and Luo, L. (2009). Lattice Boltzmann simulations of 2D laminar flows past two tandem cylinders. Journal of Computational Physics 228 (4) , pp. 983-999.
Peng, Y. and Luo, L. (2008). A comparative study of immersed-boundary and interpolated bounce-back methods in LBE. Progress in Computational Fluid Dynamics 8 , pp. 156-167.
Guo, Z. L.., Liu, H. W.., Luo, L. and Xu, K. (2008). A comparative study of the LBE and GKS methods for 2D near incompressible laminar flows. Journal of Computational Physics 227 (10) , pp. 4955-4976.
Asinari, P. and Luo, L. (2008). A consistent lattice Boltzmann equation with baroclinic coupling for mixtures. Journal of Computational Physics 227 (8) , pp. 3878-3895.
Peng, Y. and Luo, L. (2008). A study of lattice Boltzmann equation with immersed boundary method. Progress in Comput. Fluid Dyn. 8 (1-4) , pp. 156-167.
Lallemand, P. and Luo, L. (2008). Comment on "Alternative approach to the solution of the dispersion relation for a generalized lattice Boltzmann equation.. Physical Review E 78 (6) , pp. 068701.
Liao, W., Peng, Y., Luo, L. and Xu, K. (2008). Modified gas-kinetic scheme for shock structures in argon. Progress in Computational Fluid Dynamics 8 , pp. 97-108.
Liao, W., Diskin, B., Peng, Y. and Luo, L. (2008). Textbook-efficiency multigrid solver for three-dimensional unsteady compressible Navier-Stokes equations. Journal of Computational Physics 227 , pp. 7160-7177.
Rubenstein, R. and Luo, L. (2008). Theory of the lattice Boltzmann equation: Symmetry properties of discrete velocity sets. Physical Review E 77 (3) , pp. 036709.
Asinari, P. and Luo, L. (2008). Theory of the lattics Boltzmann equation with baroclinic coupling for mixtures. Journal of Computational Physics 227 (8) , pp. 3878-3895.
Lallemand, P., Luo, L. and Peng, Y. (2007). A lattice Boltzmann front-tracking method for interface dynamics with surface tension in two-dimensions. Journal of Computational Physics 226 , pp. 1367-1384.
Cheng, M. and Luo, L. (2007). Characteristics of two-dimensional flow around a rotating circular cylinder near a plane wall. Physics of Fluids 19 (6) , pp. 06361.
Liao, W., Luo, L. and Xu, K. (2007). Gas kinetic scheme for continuum and near-continuum hypersonic flows. AIAA J. Rocket and Spacecraft 44 (6) , pp. 1232-1240.
Pan, C., Luo, L. and Miller, C. T. (2006). An evaluation of lattice Boltzmann schemes for porous medium flow simulation. Computers & Fluids 35 (8/9) , pp. 898-909.
Mei, R., Luo, L., Lallemand, P. and d'Humieres, D. (2006). Consistent initial conditions for lattice Boltzmann simulations. Computers & Fluids 35 (8/9) , pp. 855-862.
Yu, H., Luo, L. and Girimaji, S. S. (2006). LES of turbulent square jet flow using an MRT lattice Boltzmann model. Computers & Fluids 35 (8/9) , pp. 957-965.
Cheng, M., Yao, Q. and Luo, L. (2006). Simulation of flow past a rotating circular cylinder near a plane wall. International Journal of Computational Fluid Dynamics 20 (6) , pp. 391-400.
Junk, M., Klar, A. and Luo, L. (2005). Asymptotic analysis of the lattice Boltzmann equation. J. Computat. Phys. 210 (2) , pp. 676-704.
Yu, H., Girimaji, S. S. and Luo, L. (2005). DNS and LES of decaying isotropic turbulence with and without frame rotation using lattice Boltzmann method. Journal of Computational Physics 209 (2) , pp. 599-616.
Yu, H. D.., Girimaji, S. S.. and Luo, L. (2005). Lattice Boltzmann simulations of decaying homogeneous isotropic turbulence. Physical Review E 71 (1).
Yong, W. A. and Luo, L. (2005). Nonexistence of H theorem for some lattice Boltzmann models. Journal of Statistical Physics 121 (1/2) , pp. 91-103.
Luo, L. (2004). Comment on "Discrete Boltzmann equation for microfluidics". Physical Review Letters 92 (13).
Rubinstein, R., Clark, T. T.., Livescu, D. and Luo, L. (2004). Time-dependent isotropic turbulence. Journal of Turbulence 5.
Lallemand, P. and Luo, L. (2003). Hybrid finite-difference thermal lattice Boltzmann equation. International Journal of Modern Physics B 17 (1-2) , pp. 41-47.
Krafczyk, M., Tolke, J. and Luo, L. (2003). Large-eddy simulations with a multiple-relaxation-time LBE model. International Journal of Modern Physics B 17 (1-2) , pp. 33-39.
Lallemand, P. and Luo, L. (2003). Lattice Boltzmann method for moving boundaries. Journal of Computational Physics 184 (2) , pp. 406-421.
Yong, W. A.. and Luo, L. (2003). Nonexistence of H theorems for the athermal lattice Boltzmann models with polynomial equilibria. Physical Review E 67 (5).
Qi, D. W.. and Luo, L. (2003). Rotational and orientational behaviour of three-dimensional spheroidal particles in Couette flows. Journal of Fluid Mechanics 477 , pp. 201-213.
Lallemand, P. and Luo, L. (2003). Theory of the lattice Boltzmann method: Acoustic and thermal properties in two and three dimensions. Physical Review E 68 (3).
Lallemand, P., d’Humieres, D., Luo, L. and Rubinstein, R. (2003). Theory of the lattice Boltzmann method: Three-dimensional model for linear viscoelastic fluids. Physical Review E 67 (2).
Luo, L. and Girimaji, S. S.. (2003). Theory of the lattice Boltzmann method: Two-fluid model for binary mixtures. Physical Review E 67 (3).
Yu, D. Z.., Mei, R. W.., Luo, L. and Shyy, W. (2003). Viscous flow computations with the method of lattice Boltzmann equation. Progress in Aerospace Sciences 39 (5) , pp. 329-367.
Lockard, D. P.., Luo, L., Milder, S. D.. and Singer, B. A.. (2002). Evaluation of PowerFLOW for aerodynamic applications. Journal of Statistical Physics 107 (1-2) , pp. 423-478.
Mei, R. W.., Yu, D. Z.., Shyy, W. and Luo, L. (2002). Force evaluation in the lattice Boltzmann method involving curved geometry. Physical Review E 65 (4).
Qi, D. W.., Luo, L., Aravamuthan, R. and Strieder, W. (2002). Lateral migration and orientation of elliptical particles in poiseuille flows. Journal of Statistical Physics 107 (1-2) , pp. 101-120.
Luo, L. and Girimaji, S. S.. (2002). Lattice Boltzmann model for binary mixtures. Physical Review E 66 (3).
d’Humieres, D., Ginzburg, I., Krafczyk, M., Lallemand, P. and Luo, L. (2002). Multiple-relaxation-time lattice Boltzmann models in three dimensions. Philosophical Transactions of the Royal Society of London Series a-Mathematical Physical and Engineering Sciences 360 (1792) , pp. 437-451.
Qi, D. W.. and Luo, L. (2002). Transitions in rotations of a nonspherical particle in a three-dimensional moderate Reynolds number Couette flow. Physics of Fluids 14 (12) , pp. 4440-4443.
Bouzidi, M., d’Humieres, D., Lallemand, P. and Luo, L. (2001). Lattice Boltzmann equation on a two-dimensional rectangular grid. Journal of Computational Physics 172 (2) , pp. 704-717.
Mei, R., Shyy, W., Yu, D. and Luo, L. (2000). Lattice Boltzmann method for 3-D flows with curved boundary. Journal of Computational Physics 161 (2) , pp. 680-699.
Luo, L. (2000). Some recent results on discrete velocity models and ramifications for lattice Boltzmann equation. Computer Physics Communications 129 (1-3) , pp. 63-74.
Lallemand, P. and Luo, L. (2000). Theory of the lattice Boltzmann method: Dispersion, dissipation, isotropy, Galilean invariance, and stability. Physical Review E 61 (6) , pp. 6546-6562.
Luo, L. (2000). Theory of the lattice Boltzmann method: Lattice Boltzmann models for nonideal gases. Physical Review E 62 (4) , pp. 4982-4996.
Mei, R. W.., Luo, L. and Shyy, W. (1999). An accurate curved boundary treatment in the lattice Boltzmann method. Journal of Computational Physics 155 (2) , pp. 307-330.
Xu, K. and Luo, L. (1998). Connection between lattice-Boltzmann equation and beam scheme. International Journal of Modern Physics C 9 (8) , pp. 1177-1187.
Luo, L. (1998). Unified theory of lattice Boltzmann models for nonideal gases. Physical Review Letters 81 (8) , pp. 1618-1621.
He, X. Y.. and Luo, L. (1997). A priori derivation of the lattice Boltzmann equation. Physical Review E 55 (6) , pp. R6333-R6336.
Luo, L. (1997). Analytic solutions of linearized lattice Boltzmann equation for simple flows. Journal of Statistical Physics 88 (3-4) , pp. 913-926.
He, X. Y.. and Luo, L. (1997). Lattice Boltzmann model for the incompressible Navier-Stokes equation. Journal of Statistical Physics 88 (3-4) , pp. 927-944.
He, X. Y.., Luo, L. and Dembo, M. (1997). Some progress in the lattice Boltzmann method: Reynolds number enhancement in simulations. Physica A 239 (1-3) , pp. 276-285.
Luo, L. (1997). Symmetry breaking of flow in 2D symmetric channels: Simulations by lattice-Boltzmann method. International Journal of Modern Physics C 8 (4) , pp. 859-867.
He, X. Y.. and Luo, L. (1997). Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation. Physical Review E 56 (6) , pp. 6811-6817.
Luo, L. and Phillies, G. D. J.. (1996). Brownian motion through a two-dimensional glass: Trapping, hopping, and diffusion. Journal of Chemical Physics 105 (2) , pp. 598-604.
He, X. Y.., Luo, L. and Dembo, M. (1996). Some progress in lattice Boltzmann method .1. Nonuniform mesh grids. Journal of Computational Physics 129 (2) , pp. 357-363.
Luo, L., Phillies, G. D. J.., Colonnaromano, L. and Gould, H. (1995). Brownian-motion on a square Lennard-Jones Lattice- Trapping, hopping, and diffusion. Physical Review E 51 (1) , pp. 43-52.
Luo, L., Chen, H. D.., Chen, S. Y.., Doolen, G. D.. and Lee, Y. C.. (1991). Generalized hydrodynamic transport in lattice-gas automata. Physical Review A 43 (12) , pp. 7097-7100.
Peng, S. L.. and Luo, L. (1991). The ordering of critical periodic points in coordinate space by sympolic dynamics. Physics Letters A 153 (6-7) , pp. 345-352.
Handy, C. R.., Luo, L., Mantica, G. and Msezane, A. Z.. (1988). Exact bounds to one-dimensional potential scattering-amplitudes through the classical-theory of moments. Physical Review A 38 (1) , pp. 490-493.
Luo, L. and Nuttall, J. (1987). Asymptotic-behavior of the Christoffel Function related to a certain unbounded set. Lecture Notes in Mathematics 1287 , pp. 105-116.
Luo, L. and Nuttall, J. (1986). Approximation-theory and the calculation of energies from divergent perturbation series. Physical Review Letters 57 (18) , pp. 2241-2243.

Books

Luo, L. (2000). The future of lattice-gas and lattice Boltzmann methods.

Book Chapters

Luo, L., Krafczyk, M. and Shyy, W. (2010). Lattice Boltzmann method for computational fluid dynamics Encyclopedia of Aerospace Engineering Hoboken, NJ: Wiley.
Chen, S., He, X. and Luo, L. (2007). Lattice Boltzmann models for multiphase flow Chapter 6 in: Computational Methods for Multiphase Flows (pp. 159-194) Cambridge: Cambridge University Press.
Pan, C., Luo, L. and Miller, C. T.. (2004). An evaluation of lattice Boltzmann equation methods for simulating flow through porous media Computational Methods in Water Resources, Vols 1 and 2 (pp. 95-106).

Conference Proceeding

Liao, W., Peng, Y. and Luo, L. (2010). Decay of compressible homogeneous turbulence with multi-temperature non-equilibrium (pp. 350) Orlando, Florida: AIAA.
Peng, Y., Liao, W., Luo, L. and Wang, L. (2009). A comparative study of the lattice Boltzmann and pseudo-spectral methods for decaying homogeneous istropic turbulence (pp. 0586) AIAA.
Liao, W., Peng, Y. and Luo, L. (2008). A comparative study of the LBE and GKS methods for direct numerical simulation of decaying homogeneous isotropic turbulence (pp. 0548) AIAA.
Diskin, B., Liao, W. and Luo, L. (2007). Textbook-efficiency multigrid solver for three-dimensional unsteady compressible Navier-Stokes equations Miami, Florida: AIAA, 37th AIAA Fluid Dynamics Conference and Exhibit.

Presentations

Peng, Y. and Luo, L. (November , 2009). A comparison of multiphase model for LBGK and LBE-MRT 62nd Annual Meeting of the APS Division of Fluid Dynamics Minneapolis, Minnesota.
Peng, Y. and Luo, L. (July , 2009). A comparison of multiphase model for LBGK and LBE-MRT The 6th International Conference for Mesoscopic Methods in Engineering and Science Guanzhou, China.
Peng, Y., Liao, W., Luo, L. and Wang, L. (January , 2009). A comparative study of the lattice Boltzmann and psuedo-spectral methods for decaying homogeneous isotropic turbulence 47th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition Orlando, Florida.
Luo, L. (November , 2008). LBE vs. Pseudo-Spectral method for decaying homogeneous isotropic turbulence American Physical Society Division of Fluid Dynamics Annual Meeting San Antonio, Texas.
Luo, L. (October 22, 2008). Why should fluid motion be interesting to physicists? Norfolk, VA.
Luo, L. (June , 2008). LBE vs. Pseudo-Spectral method for decaying homogeneous isotropic turbulence ICMMES-08 Amsterdam.
Luo, L. (May 1, 2008). SAMSI Research Triangle Park.
Luo, L. (December , 2007). CFD methods for nonequilibrium flows Workshop on Equilibrium Flows Sanya, Hainan, China.
Luo, L. (July , 2007). 3 Myths in LBE ICMMES-07 Munchen, Germany.
Luo, L. (December 13, 2006). Zhou PY Center for Applied Mathematics, Tsinghua University .
Luo, L. (July , 2005). ICMMES-05 Hong Kong.
  • 2012: Recipient of 1000-Telants Category B,
  • 2012: Fellowship of Japan Society for the Promotion of Science,
  • 2011: The 27th Annual Research Award, Old Dominion University
  • 2010: Fellow, American Physical Society
  • 2009: Outstanding Research Award, College of Sciences, Old Dominion University
  • 2008: Outstanding Referee, American Physical Society

Organizational Chart