Professor & Eminent Scholar & Richard F. Barry Endowed Chair

#### Li-Shi Luo

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
- 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. "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., 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. 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