Selected Publications

Articles In Academic Journals

Year Title
2013 Lattice Boltzmann simulations of thermal convective flows in two dimensionsComputers & Mathematics with Applications. 262-286.
2012 Accuracy of the viscous stress in the lattice Boltzmann equation with simple boundary conditionsPhysical Review E.
2012 Reply to “Comment on ‘Numerics of the lattice Boltzmann method: Effects of collision models on the lattice Boltzmann simulations’”Physical Review E. 048701.
2011 Comment on "Heat transfer and fluid flow in microchannels and nanochannels at high Knudsen number using thermal lattice-Boltzmann method"Physical Review E.
2011 Numerics of the lattice Boltzmann method: Effects of collision models on the lattice Boltzmann simulationsPhysical Review E.
2010 Comparison of the lattice Boltzmann and pseudo-spectral methods for decaying turbulence: Low-order statisticsComputers & Fluids. 568-591.
2010 Effects of multitemperature nonequilibrium on compressible homogeneous turbulencePhysical Review E.
2010 Numerical study of a vortex ring impacting a flat wallJournal of Fluid Mechanics. 430-455.
2009 Gas-kinetic schemes for direct numerical simulations of compressible homogeneous turbulencePhysical Review E. 046702.
2009 Lattice Boltzmann Modeling of Microchannel Flow in Slip Flow RegimeJournal of Computational Physics. 147-157.
2009 Lattice Boltzmann simulations of 2D laminar flows past two tandem cylindersJournal of Computational Physics. 983-999.
2008 A comparative study of immersed-boundary and interpolated bounce-back methods in LBEProgress in Computational Fluid Dynamics. 156-167.
2008 A comparative study of the LBE and GKS methods for 2D near incompressible laminar flowsJournal of Computational Physics. 4955-4976.
2008 A consistent lattice Boltzmann equation with baroclinic coupling for mixturesJournal of Computational Physics. 3878-3895.
2008 A study of lattice Boltzmann equation with immersed boundary methodProgress in Comput. Fluid Dyn.. 156-167.
2008 Comment on "Alternative approach to the solution of the dispersion relation for a generalized lattice Boltzmann equation.Physical Review E. 068701.
2008 Modified gas-kinetic scheme for shock structures in argonProgress in Computational Fluid Dynamics. 97-108.
2008 Textbook-efficiency multigrid solver for three-dimensional unsteady compressible Navier-Stokes equationsJournal of Computational Physics. 7160-7177.
2008 Theory of the lattice Boltzmann equation: Symmetry properties of discrete velocity setsPhysical Review E. 036709.
2008 Theory of the lattics Boltzmann equation with baroclinic coupling for mixturesJournal of Computational Physics. 3878-3895.
2007 A lattice Boltzmann front-tracking method for interface dynamics with surface tension in two-dimensionsJournal of Computational Physics. 1367-1384.
2007 Characteristics of two-dimensional flow around a rotating circular cylinder near a plane wallPhysics of Fluids. 06361.
2007 Gas kinetic scheme for continuum and near-continuum hypersonic flowsAIAA J. Rocket and Spacecraft. 1232-1240.
2006 An evaluation of lattice Boltzmann schemes for porous medium flow simulationComputers & Fluids. 898-909.
2006 Consistent initial conditions for lattice Boltzmann simulationsComputers & Fluids. 855-862.
2006 LES of turbulent square jet flow using an MRT lattice Boltzmann modelComputers & Fluids. 957-965.
2006 Simulation of flow past a rotating circular cylinder near a plane wallInternational Journal of Computational Fluid Dynamics. 391-400.
2005 Asymptotic analysis of the lattice Boltzmann equationJ. Computat. Phys.. 676-704.
2005 DNS and LES of decaying isotropic turbulence with and without frame rotation using lattice Boltzmann methodJournal of Computational Physics. 599-616.
2005 Lattice Boltzmann simulations of decaying homogeneous isotropic turbulencePhysical Review E.
2005 Nonexistence of H theorem for some lattice Boltzmann modelsJournal of Statistical Physics. 91-103.
2004 Comment on "Discrete Boltzmann equation for microfluidics"Physical Review Letters.
2004 Time-dependent isotropic turbulenceJournal of Turbulence.
2003 Hybrid finite-difference thermal lattice Boltzmann equationInternational Journal of Modern Physics B. 41-47.
2003 Large-eddy simulations with a multiple-relaxation-time LBE modelInternational Journal of Modern Physics B. 33-39.
2003 Lattice Boltzmann method for moving boundariesJournal of Computational Physics. 406-421.
2003 Nonexistence of H theorems for the athermal lattice Boltzmann models with polynomial equilibriaPhysical Review E.
2003 Rotational and orientational behaviour of three-dimensional spheroidal particles in Couette flowsJournal of Fluid Mechanics. 201-213.
2003 Theory of the lattice Boltzmann method: Acoustic and thermal properties in two and three dimensionsPhysical Review E.
2003 Theory of the lattice Boltzmann method: Three-dimensional model for linear viscoelastic fluidsPhysical Review E.
2003 Theory of the lattice Boltzmann method: Two-fluid model for binary mixturesPhysical Review E.
2003 Viscous flow computations with the method of lattice Boltzmann equationProgress in Aerospace Sciences. 329-367.
2002 Evaluation of PowerFLOW for aerodynamic applicationsJournal of Statistical Physics. 423-478.
2002 Force evaluation in the lattice Boltzmann method involving curved geometryPhysical Review E.
2002 Lateral migration and orientation of elliptical particles in poiseuille flowsJournal of Statistical Physics. 101-120.
2002 Lattice Boltzmann model for binary mixturesPhysical Review E.
2002 Multiple-relaxation-time lattice Boltzmann models in three dimensionsPhilosophical Transactions of the Royal Society of London Series a-Mathematical Physical and Engineering Sciences. 437-451.
2002 Transitions in rotations of a nonspherical particle in a three-dimensional moderate Reynolds number Couette flowPhysics of Fluids. 4440-4443.
2001 Lattice Boltzmann equation on a two-dimensional rectangular gridJournal of Computational Physics. 704-717.
2000 Lattice Boltzmann method for 3-D flows with curved boundaryJournal of Computational Physics. 680-699.
2000 Some recent results on discrete velocity models and ramifications for lattice Boltzmann equationComputer Physics Communications. 63-74.
2000 Theory of the lattice Boltzmann method: Dispersion, dissipation, isotropy, Galilean invariance, and stabilityPhysical Review E. 6546-6562.
2000 Theory of the lattice Boltzmann method: Lattice Boltzmann models for nonideal gasesPhysical Review E. 4982-4996.
1999 An accurate curved boundary treatment in the lattice Boltzmann methodJournal of Computational Physics. 307-330.
1998 Connection between lattice-Boltzmann equation and beam schemeInternational Journal of Modern Physics C. 1177-1187.
1998 Unified theory of lattice Boltzmann models for nonideal gasesPhysical Review Letters. 1618-1621.
1997 A priori derivation of the lattice Boltzmann equationPhysical Review E. R6333-R6336.
1997 Analytic solutions of linearized lattice Boltzmann equation for simple flowsJournal of Statistical Physics. 913-926.
1997 Lattice Boltzmann model for the incompressible Navier-Stokes equationJournal of Statistical Physics. 927-944.
1997 Some progress in the lattice Boltzmann method: Reynolds number enhancement in simulationsPhysica A. 276-285.
1997 Symmetry breaking of flow in 2D symmetric channels: Simulations by lattice-Boltzmann methodInternational Journal of Modern Physics C. 859-867.
1997 Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equationPhysical Review E. 6811-6817.
1996 Brownian motion through a two-dimensional glass: Trapping, hopping, and diffusionJournal of Chemical Physics. 598-604.
1996 Some progress in lattice Boltzmann method .1. Nonuniform mesh gridsJournal of Computational Physics. 357-363.
1995 Brownian-motion on a square Lennard-Jones Lattice- Trapping, hopping, and diffusionPhysical Review E. 43-52.
1991 Generalized hydrodynamic transport in lattice-gas automataPhysical Review A. 7097-7100.
1991 The ordering of critical periodic points in coordinate space by sympolic dynamicsPhysics Letters A. 345-352.
1988 Exact bounds to one-dimensional potential scattering-amplitudes through the classical-theory of momentsPhysical Review A. 490-493.
1987 Asymptotic-behavior of the Christoffel Function related to a certain unbounded setLecture Notes in Mathematics. 105-116.
1986 Approximation-theory and the calculation of energies from divergent perturbation seriesPhysical Review Letters. 2241-2243.

Books

Year Title
2000 The future of lattice-gas and lattice Boltzmann methods.  Ed. 8. 

Chapters

Year Title
2010 Lattice Boltzmann method for computational fluid dynamicsEncyclopedia of Aerospace Engineering. Wiley.
2007 Lattice Boltzmann models for multiphase flowChapter 6 in: Computational Methods for Multiphase Flows. Cambridge: Cambridge University Press.
2004 An evaluation of lattice Boltzmann equation methods for simulating flow through porous mediaComputational Methods in Water Resources, Vols 1 and 2.

Conference Papers

Year Title
2010 Decay of compressible homogeneous turbulence with multi-temperature non-equilibrium.  350.
2009 A comparative study of the lattice Boltzmann and pseudo-spectral methods for decaying homogeneous istropic turbulence.  0586.
2008 A comparative study of the LBE and GKS methods for direct numerical simulation of decaying homogeneous isotropic turbulence.  0548.
2007 Textbook-efficiency multigrid solver for three-dimensional unsteady compressible Navier-Stokes equations

Research Overview

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

  • Efficent High-Order Algorithms for Nonequilibrium Microflows Over Knudsen No  awarded by National Science Foundation 2017 - 2020
  • Beijing Computational Science Research Center (CSRC), Part-Time, Luo Spring 2018  awarded by Beijing Computational Science Research Center 2018
  • He Huang - J Lab Support FY18  awarded by Jefferson Science Associates, LLC (Jefferson Lab) 2017 - 2018
  • Huang Support FY18  awarded by Jefferson Science Associates, LLC (Jefferson Lab) 2017 - 2018
  • Proposal For Supporting US Participation In Icmmes-2016, Hamburg, Germany, 7/18-22, 2016  awarded by National Science Foundation 2016 - 2017
  • High-order multiscale methods for nonequilibrium flows  awarded by US AFOSR 2009 - 2012
  • 0807983, A Unified Modeling Approach for Micro- and Nano-Scale Gas Flows  awarded by NSF, Division of Mathematical Sciences 2008 - 2011
  • Proposal 0739409, Collaborative proposal: Southeastern Atlantic Mathematical Sciences Workshop  awarded by NSF, Division of Mathematical Sciences 2008 - 2011
  • Numerical and experimental study of complex bio-fluids in microfluidic lab-on-a-chip for bio-medical applications  awarded by Old Dominion Research Foundation 2010
  • Proposal CBETS-0935928, Collaborative proposal to support US participation in ICMMES  awarded by NSF 2009 - 2010
  • Multi-scale modeling of nano-particle cell dynamics  awarded by NIH 2010 - 2009
  • Multi-scale modeling of nano-particle cell dynamics  awarded by NIH 2009
  • Computing using general purpose graphic processing units (NNL08AA00C)  awarded by NASA LaRC/SSAIC 2008 - 2009
  • Proposal CBETS-0827259, Collaborative proposal to support US participation in ICMMES  awarded by NSF 2008 - 2009
  • Distinguished visitor seminars: Multiscale modeling and simulations for soft matter and complex fluids  awarded by Dean's Office, College of Science, Old Dominion University 2006 - 2009
  • Proposal 0500213, Collaborative research: Efficient lattice Boltzmann methods for multiphase and multicomponent flows  awarded by NSF 2005 - 2009
  • MURI Proposal (Topic 19): To investigate and characterize non-thermochemistry equilibrium effects on turbulence physics  awarded by Air Force Office Scientific Research/DoD 2004 - 2009
  • Multi-scale modeling of nano-particle cell dynamics  awarded by NIH - 2009
  • Elucidation of protein structure networks and beyond  awarded by ODU-RF 2008
  • Proposal 0739408, Collaborative proposal: Southeastern Atlantic Mathematical Sciences Workshop  awarded by NSF - DMS 2007 - 2008
  • Proposal CBETS-0733134, Collaborative proposal to support US participation in ICMMES  awarded by NSF, NIA 2007 - 2008
  • Unified computational modeling of mixed continuum-rarefied flows  awarded by NASA LaRC C&I Program 2004 - 2008
  • Computing using general purpose graphic processing units  awarded by Office of VP Research, ODU - 2008
  • Development and implementation of effective multigrid solvers for the compressible Navier-Stokes equations in 3D  awarded by NIA/NASA LaRC/Army 2007
  • Proposal CBETS-0553501, Collaborative proposal to support US participation in ICMMES  awarded by NSF, NIA 2006 - 2007
  • STTR N06-T015: High cycle fatigue of integrally bladed rotors  awarded by US Navy 2006 - 2007
  • Proposal 0407843, Collaborative proposal: Southeastern applied mathematic days  awarded by NSF 2004 - 2007
  • Contingent support for NSF proposal CBETS-0733134  awarded by Office of VP Research, ODU - 2007
  • Develop and implement effective multigrid solvers for the compressible Navier-Stokes equation in 3D  awarded by NIA/NASA LaRC/Army 2006
  • Contingent support for NSF proposal CBETS-0553501  awarded by Batten College of Engineering - 2006
  • Education And Training

  • Ph.D. in Physics, Georgia Institute of Technology 1993
  • M.S. in Physics, University of Western Ontario 1986
  • B.Eng. Sc. in Electrical Engineering, Fuzhou University 1982
  • Full Name

  • Li-Shi Luo