http://www.lbmethod.org/ 2010-09-05T00:37:08+02:00 http://www.lbmethod.org/ http://www.lbmethod.org/lib/images/favicon.ico text/html 2008-02-23T20:50:31+02:00 http://www.lbmethod.org/literature:add_article_howto?rev=1203796231&do=diff Overview Journal articles on LB or related topics can be submitted to LBMethod.org, and they will be added to the list. Submit requests by e-mail to the address articles at lbmethod dot org. The format for a submission is a BibTeX file attached to the e-mail, containing one @article entry for each suggested article. text/html 2009-08-14T17:43:08+02:00 http://www.lbmethod.org/literature:articles?rev=1250264588&do=diff The articles are available Sorted by category Sorted by year of publication Sorted by journal [As a single BibTeX file with all articles] Help us keep the data base up to date! This link provides instructions for adding articles of your choice to the list. text/html 2008-10-20T08:45:23+02:00 http://www.lbmethod.org/literature:books?rev=1224485123&do=diff Michael C. Sukop and Daniel T. Thorne (2006) Lattice Boltzmann Modeling; an Introduction for Geoscientists and Engineers Springer-Verlag Berlin/Heidelberg Practically oriented, this book never gets lost in theoretical details and explains in a straightforward way how to implement and use the lattice Boltzmann method. It is accessible to an undergraduate reader, but tackles also some advanced topics such as multiphase flows and solute transport. This and other LB related books can be located … text/html 2008-08-08T21:09:56+02:00 http://www.lbmethod.org/literature:bouzidi_01?rev=1218222596&do=diff M'hamed Bouzidi, Mouaouia Firdaouss and Pierre Lallemand (2001) Momentum transfer of a Boltzmann-lattice flluid with boundaries Phys. Fluids 13, 3452-3459 The Bouzidi boundary condition is a common choice for curved or off-lattice boundaries. It is a variant of the half-way bounce-back scheme, with extension from no-slip to a general Dirichlet boundary by addition of momentum, and an adaptation of the exact boundary location by use of interpolations. text/html 2008-03-11T21:34:23+02:00 http://www.lbmethod.org/literature:chen_91?rev=1205267663&do=diff Shiyi Chen, Hudong Chen, Daniel Martinez and William Matthaeus (1991) Lattice Boltzmann model for simulation of magnetohydrodynamics Phys. Rev. Lett., 67, 3776-3779 [BibTeX]DOI text/html 2008-02-20T16:17:10+02:00 http://www.lbmethod.org/literature:chen_98?rev=1203520630&do=diff Shiyi Chen and Gary D. Doolen (1998) Lattice Boltzmann Method for Fluid Flows, Ann. Rev. Fluid Mech., 30, 329-364 A good review article on the BGK method, and on its various fields of application. The article summarizes important topics such as the implementation of boundary conditions, simulation of fluid turbulence, and multiphase/multicomponent flows. text/html 2008-02-20T16:19:03+02:00 http://www.lbmethod.org/literature:chopard_02?rev=1203520743&do=diff Bastien Chopard, Alexandre Dupuis, Alexandre Masselot and Pascal Luthi (2002) Cellular Automata and Lattice Boltzmann techniques: an approach to model and simulate complex systems, Adv. Compl. Sys., 5, 103-246 A review of the lattice Boltzmann method with numerous fields of application. Of particular interest is the thorough derivation of the BGK model as an asymptotic approximation of a Cellular Automaton. Also unique is the discussion on how to vary the speed of sound in the BGK model. text/html 2008-03-11T21:52:04+02:00 http://www.lbmethod.org/literature:clercx_05?rev=1205268724&do=diff H.J.H. Clercx and C.-H. Bruneau (2005) The normal and oblique collision of a dipole with a no-slip boundary, Comp. Fluids, 35, 245-279 [BibTeX]DOI text/html 2008-03-11T21:56:31+02:00 http://www.lbmethod.org/literature:dellar_01?rev=1205268991&do=diff Paul J. Dellar (2001) Bulk and shear viscosities in lattice Boltzmann equations, Phys. Rev. E, 64, 031203 [BibTeX]DOI text/html 2008-09-22T13:17:05+02:00 http://www.lbmethod.org/literature:dellar_03?rev=1222082225&do=diff Paul J. Dellar (2003) Incompressible limits of lattice Boltzmann equations using multiple relaxation times, J. Comput. Phys., 190, 351-370 This article analyses Multiple-Relaxation-Time (MRT) models and shows that they can be deficient in a low Mach-number regime. Additionally to this, the article is also a great reference to various topics in lattice Boltzmann, thanks to its extensive introduction and discussions. It explains in a precise and easily understandable way what MRT models are, h… text/html 2008-03-11T21:45:00+02:00 http://www.lbmethod.org/literature:dhumieres_01?rev=1205268300&do=diff Dominique d'Humières, M'hamed Bouzidi and Pierre Lallemand (2001) Thirteen-velocity three-dimensional lattice Boltzmann model, Phys. Rev. E, 63, 066702 [BibTeX]DOI text/html 2008-02-18T23:20:23+02:00 http://www.lbmethod.org/literature:dhumieres_02?rev=1203373223&do=diff Dominique d'Humières, Irina Ginzburg, Manfred Krafczyk, Pierre Lallemand and Li-Shi Luo Multiple-Relaxation-Time Lattice Boltzmann Models in Three Dimensions, Phil. Trans. R. Soc. A, 360, 437-451 This article features an overview of the probably most commonly used Multiple-Relaxation-Time (MRT) model. In this model, the relaxation times of the ghost modes are given by ad-hoc numerical values. These values are derived from a linear stability analysis, and are mentioned explicitly in the artic… text/html 2009-10-28T16:55:57+02:00 http://www.lbmethod.org/literature:dupin_08?rev=1256745357&do=diff M.M. Dupin, I. Halliday, C.M. Care, and L.L. Munna(2008) Lattice Boltzmann modelling of blood cell dynamics, Int. J. Comput. Fluid Dyn. 22, 481--492 [BibTeX]DOI text/html 2008-05-09T00:33:59+02:00 http://www.lbmethod.org/literature:full_list?rev=1210286039&do=diff Full list of articles, sorted by year X. Shan e.a.:Kinetic theory representation of hydrodynamics: a way behond the Navier-Stokes equation S. Geller e.a.:Benchmark computations based on lattice-Boltzmann, finite element and finite volume methods for laminar flows J. Latt and B. Chopard:Lattice Boltzmann method with regularized non-equilibrium distribution functionsH. Clercx and C. BruneauThe normal and oblique collision of a dipole with a no-slip boundaryM. Junk e.a.Asymptotic analysis of the l… text/html 2008-03-11T21:41:40+02:00 http://www.lbmethod.org/literature:geller_06?rev=1205268100&do=diff Sebastian Geller, Manfred Krafczyk, Jonas Tölke, Stefan Turek and Jaroslav Hron Benchmark computations based on lattice-Boltzmann, finite element and finite volume methods for laminar flows, Comp. Fluids, 35, 888-897 Is lattice Boltzmann more or less efficient than another method? This is an endless discussion, and the answer depends on what you are looking at. This paper provides you however with interesting comparisons that can help you decide which method to use for a given purpose. text/html 2008-02-18T23:46:16+02:00 http://www.lbmethod.org/literature:guo_02?rev=1203374776&do=diff Zhaoli Guo, Chuguang Zheng and Baochang Shi An extrapolation method for boundary conditions in lattice Boltzmann method (2002), Phys. Fluids, 14, 2007-2010 [BibTeX]DOI text/html 2008-02-20T17:51:01+02:00 http://www.lbmethod.org/literature:guo_02b?rev=1203526261&do=diff Zhaoli Guo, Chuguang Zheng and Baochang Shi (2002) Discrete lattice effects on the forcing term in the lattice Boltzmann method, Phys. Rev. E, 65, 046308 Many ways of implementing a body force in lattice Boltzmann seem intuitively right. A closer analysis shows however that only few of them lead to the expected asymptotic behavior with sufficient accuracy. This article analyzes different approaches and points out one method that is fully consistent with the hydrodynamic limit of the LB model… text/html 2008-05-09T00:32:06+02:00 http://www.lbmethod.org/literature:guo_02c?rev=1210285926&do=diff Zhaoli Guo, Baochang Shi, and Chuguang Zheng (2002) A coupled lattice BGK model for the Boussinesq equations, Int. J. Num. Meth. Fluids 39, 325-342 The Boltzmann equation describes the full statistical properties of a fluid, including temperature effects. But BGK and related models can only simulate isothermal fluids, because the lattice (D2Q9 or D3Q13-D3Q27) lacks sufficient symmetries to include thermal effects. This deficiency can be circumvented by using higher-order discretizations of B… text/html 2009-10-28T16:55:13+02:00 http://www.lbmethod.org/literature:guo_08?rev=1256745313&do=diff Zhaoli Guo and Chuguang Zheng(2008) Analysis of lattice Boltzmann equation for microscale gas flows: Relaxation times, boundary conditions and the Knudsen layer, Int. J. Comput. Fluid Dyn. 22, 465--473 [BibTeX]DOI text/html 2008-03-11T22:25:02+02:00 http://www.lbmethod.org/literature:halliday_02?rev=1205270702&do=diff I. Halliday, L. A. Hammond, and C. M. Care (2002) Enhanced closure scheme for lattice Boltzmann equation hydrodynamics, J. Phys. A, 35, L157-L166 [BibTeX]DOI text/html 2008-08-08T11:40:15+02:00 http://www.lbmethod.org/literature:he_97?rev=1218188415&do=diff Xiaoyi He and Li-Shi Luo (1997) Theory of the lattice Boltzmann method : From the Boltzmann equation to the lattice Boltzmann equation, Phys. Rev. E, 56, 6811-6818 This is one of the first papers describing the discretization of the continuous Boltzmann-BGK equation to recover the lattice Boltzmann scheme. The paper is mainly of theoretical interest since it does not address implementation issues. Please note that the developments in this paper only recover first-order time accuracy of the s… text/html 2008-02-14T17:41:06+02:00 http://www.lbmethod.org/literature:he_98?rev=1203007266&do=diff Xiaoyi He, Xiaowen Shan, and Gary D. Doolen (1998) Discrete Boltzmann equation model for nonideal gases, Phys. Rev. E, 57, R13 This paper shows among other things how to get the lattice Boltzmann equation from the discrete Boltzmann equation. The trapezoid rule is used to integrate along the path of a fluid element in space and time, which shows that the numerical scheme is second-order accurate. It is therefore useful to read this paper together with He et al. 1997, because the path integra… text/html 2008-02-18T23:29:38+02:00 http://www.lbmethod.org/literature:inamuro_95?rev=1203373778&do=diff Takaji Inamuro, Masato Yoshina and Fumimaru Ogino A non-slip boundary condition for lattice Boltzmann simulations, Phys. Fluids, 7, 2928-2930 The Inamuro boundary condition can be used to implement velocity or pressure conditions on straight boundaries. This method is exceptionally accurate, especially in 2D flows, and regularly beats all other methods in benchmarks. It has however stability issues when the Reynolds number is increased, and 3D extensions of the model are not straightforward. text/html 2008-03-11T21:54:33+02:00 http://www.lbmethod.org/literature:junk_05?rev=1205268873&do=diff Michael Junk, Axel Klar, and Li-Shi Luo (2005) Asymptotic analysis of the lattice Boltzmann equation, J. Comput. Phys., 210, 676-704 [BibTeX]DOI text/html 2008-02-20T00:23:06+02:00 http://www.lbmethod.org/literature:latt_06?rev=1203463386&do=diff Jonas Latt and Bastien Chopard (2006) Lattice Boltzmann method with regularized non-equilibrium distribution functions, Math. Comp. Sim., 72, 165-168 This article introduces the regularized LB method, one of the extensions of BGK which are more accurate and more stable for many problems. This and other models are summarized on the page on LB models. text/html 2008-07-06T16:23:07+02:00 http://www.lbmethod.org/literature:latt_08?rev=1215354187&do=diff Jonas Latt, Bastien Chopard, Orestis Malaspinas, Michel Deville and Andreas Michler (2008) Straight velocity boundaries in the lattice Boltzmann method, Phys. Rev. E, 77, 056703 This is a review paper for boundary conditions on straight walls in the “wet node” category (see overview of boundary conditions). The following four boundary conditions are presented along with directions for their algorithmic implementation: text/html 2008-02-22T18:42:02+02:00 http://www.lbmethod.org/literature:mcnamara_88?rev=1203702122&do=diff Guy R. McNamara and Gianluigi Zanetti (1988) Use of the Boltzmann Equation to Simulate Lattice-Gas Automata , Phys. Rev. Lett., 61, 2332-2335 This paper proposes a novel way to deal with the statistical noise of the Cellular Automata approach by replacing the boolean variables (which represent particles) by real numbers on each lattice site. The results are encouraging because the computational needs were very much decreased while the accuracy remained very good. This was the first paper, to… text/html 2008-03-31T23:06:08+02:00 http://www.lbmethod.org/literature:mcnamara_97?rev=1206997568&do=diff Guy R. McNamara, Alejandro L. Garcia, and Berni J. Alder (1997) A hydrodynamically correct thermal lattice Boltzmann model, J. Stat. Phys., 87, 1111--1121 [BibTex]DOI text/html 2009-08-14T17:40:45+02:00 http://www.lbmethod.org/literature:mei_06?rev=1250264445&do=diff Renwei Mei, Li-Shi Luo, Pierre Lallemand, and Dominique d'Humieres(2006) Consistent initial conditions for lattice Boltzmann simulations, Comp. Fluids 35, 855--862 An algorithm is introduced to generate an initial condition for lattice Boltzmann simulations for which an initial velocity field is prescribed. The basic idea is to run a few initial lattice Boltzmann iterations, but to use the prescribed velocity instead of the moment of particle populations when computing the equilibrium distri… text/html 2009-10-28T16:56:43+02:00 http://www.lbmethod.org/literature:meng_08?rev=1256745403&do=diff F Meng, M Wang, and ZX Li(2008) Lattice Boltzmann Simulations of Conjugate Heat Transfer in High-Frequency Oscillating Flows, Int. J. Heat Fluid Flow 29, 1203-1210 [BibTeX]DOI text/html 2009-10-28T17:21:21+02:00 http://www.lbmethod.org/literature:per_category?rev=1256746881&do=diff Full list of articles, sorted by category Main categories J Wang, M, Wang, and ZX Li(2008):Lattice Evolution Solution for the Nonlinear Poisson-Boltzmann Equation in Confined Domains Jonas Latt, Bastien Chopard, Orestis Malaspinas, Michel Deville, and Andreas Michler(2008):Straight velocity boundaries in the lattice Boltzmann method Zhaoli Guo and Chuguang Zheng(2008):Analysis of lattice Boltzmann equation for microscale gas flows: Relaxation times, boundary con… text/html 2009-10-28T17:27:27+02:00 http://www.lbmethod.org/literature:per_journal?rev=1256747247&do=diff Full list of articles, sorted by journal Bastien Chopard, Alexandre Dupuis, Alexandre Masselot, and Pascal Luthi(2002):Cellular Automata and Lattice Boltzmann techniques: an approach to model and simulate complex systems M Wang and QJ Kang(2009):Electrokinetic transport in microchannels with random roughness Shiyi Chen and Gary D. Doolen(1998):Lattice Boltzmann Method for Fluid Flows M Wang, QJ Kang, and N Pan(2009):Thermal conductivity enhancement of carbon fiber composites J W… text/html 2009-10-28T17:22:03+02:00 http://www.lbmethod.org/literature:per_year?rev=1256746923&do=diff Full list of articles, sorted by year M Wang and QJ Kang:Electrokinetic transport in microchannels with random roughness M Wang and N Pan:Elastic property of multiphase composites with random microstructures. M Wang, QJ Kang, and N Pan:Thermal conductivity enhancement of carbon fiber composites M Wang and N Pan:Predictions of Effective Properties of Complex Multiphase Materials J Wang, M, Wang, and ZX Li:Lattice Evolution Solution for the Nonlinea… text/html 2008-03-11T22:28:13+02:00 http://www.lbmethod.org/literature:qian_92?rev=1205270893&do=diff Y.H. Qian, Dominique d'Humières, and Pierre Lallemand (1992) Lattice BGK Models for Navier-Stokes Equation, Europhys. Lett., 17, 479-484 [BibTeX]DOI text/html 2008-03-31T21:34:38+02:00 http://www.lbmethod.org/literature:qian_93?rev=1206992078&do=diff Y. H. Qian and Stephen A. Orszag (1993) Incompressible limits of lattice Boltzmann equations using multiple relaxation times, Europhys. Lett., 21, 255-259 [BibTeX]DOI text/html 2008-08-08T11:55:19+02:00 http://www.lbmethod.org/literature:shan_06?rev=1218189319&do=diff Xiaowen Shan, Xue-Feng Yuan, and Hudong Chen (2006) Kinetic theory representation of hydrodynamics: a way behond the Navier-Stokes equation, J. Fluid Mech. 550, 413-441 This paper proposes a systematic approach to deriving a discrete lattice Boltzmann scheme from the continuum Boltzmann equation. Inspired by the Grad-13 moment system, the Boltzmann distribution function is expanded on a Hermite basis in velocity space. Unlike Grad's approach, the paper focuses however not on the moment repre… text/html 2008-03-31T23:17:31+02:00 http://www.lbmethod.org/literature:shan_98?rev=1206998251&do=diff Xiaowen Shan and Xiaoyi He (1998) Discretization of the Velocity Space in the Solution of the Boltzmann Equation, Phys. Rev. Lett., 80, 65-68 [BibTeX]DOI text/html 2008-05-15T17:25:43+02:00 http://www.lbmethod.org/literature:shan_chen_93?rev=1210865143&do=diff Xiaowen Shan and Hudong Chen (1993) Lattice Boltzmann model for simulating flows with multiple phases and components, Phys. Rev. E, 47, 1815--1819 This paper introduces the well-established Shan-Chen model for multicomponent and multiphase fluids. A local body-force is added to account for the intermolecular interaction between two fluid components or phases. The model is straightforward, and impressive results are obtained with fairly little effort. The Shan-Chen model is therefore widely u… text/html 2008-02-18T10:43:37+02:00 http://www.lbmethod.org/literature:skordos_93?rev=1203327817&do=diff P. A. Skordos (1993) Initial and boundary conditions for the lattice Boltzmann method Phys. Rev. E, 48, 4823-4842 This is probably the first article containing a systematic discussion on how to implement on-lattice boundary conditions in lattice Boltzmann using a finite difference scheme. The particle populations on the boundary are split into equilibrium and off-equilibrium part, and the results of the Chapman-Enskog expansion are used to associate off-equilbrium parts with velocity gradien… text/html 2009-08-14T18:53:55+02:00 http://www.lbmethod.org/literature:sun_00?rev=1250268835&do=diff Chenghai Sun(2000) Simulations of Compressible Flows with Strong Shocks by an Adaptive Lattice Boltzmann Model, J. Comput. Phys. 161, 70--84 [BibTeX]DOI text/html 2008-02-26T03:56:51+02:00 http://www.lbmethod.org/literature:teixeira_98?rev=1203994611&do=diff Christopher M. Teixeira (1998) Incorporating turbulence models into the Lattice-Boltzmann Method, Int. J. Mod. Phys. C, 9, 1159--1175 This paper presents a numerical experiment of a turbulent flow. The fluid is simulated with lattice Boltzmann, and the two equations of a k-epsilon model are solved separately as a closure for the physics of unresolved subgrid scales. The results show that lattice Boltzmann works fine with the k-epsilon model and thus can be used for simulating high Reynolds-n… text/html 2010-02-23T12:28:56+02:00 http://www.lbmethod.org/literature:theses?rev=1266924536&do=diff PhD Theses and graduation documents Alexandr Kuzmin (PhD, 2009) [Multiphase simulations with lattice Boltzmann scheme] Orestis Malaspinas (PhD, 2009) Lattice Boltzmann method for the simulation of viscoelastic fluid flows. Erlend M. Viggen (Master's, 2009) [The lattice Boltmzann method with applications in acoustics] text/html 2009-10-28T16:57:18+02:00 http://www.lbmethod.org/literature:wang_05?rev=1256745438&do=diff J Wang, M Wang, and ZX Li(2005) Lattice Boltzmann simulations of mixing enhancement by the electro-osmotic flow in microchannels, Modern Phys. Lett. B 19, 1515-1518 [BibTeX]DOI text/html 2009-08-14T17:41:10+02:00 http://www.lbmethod.org/literature:wang_06?rev=1250264470&do=diff J Wang, M Wang, and ZX Li(2006) Lattice Poisson-Boltzmann Simulations of Electro-osmotic Flows in Microchannels, J. Colloid Interface Sci. 296, 729-736 [BibTeX]DOI text/html 2009-10-28T16:58:41+02:00 http://www.lbmethod.org/literature:wang_06b?rev=1256745521&do=diff M Wang, JK Wang, S Chen, and N Pan(2006) Electrokinetic Pumping Effects of Charged Porous Media in Microchannels using the Lattice Poisson-Boltzmann Method, J. Colloid Interface Sci. 304, 246-253 [BibTeX]DOI text/html 2009-10-28T16:58:56+02:00 http://www.lbmethod.org/literature:wang_07?rev=1256745536&do=diff J Wang, M, Wang, and ZX Li(2007) A Lattice Boltzmann Algorithm for Fluid-Solid Conjugate Heat Transfer., Int. J. Thermal Sci. 46, 228-234 [BibTeX]DOI text/html 2009-10-28T16:59:17+02:00 http://www.lbmethod.org/literature:wang_07b?rev=1256745557&do=diff M Wang, JK Wang, and S Chen(2007) Roughness and Cavitations effects on Electro-osmotic Flows in Rough Microchannels using the Lattice Poisson-Boltzmann Methods, J. Comput. Phys 226, 836-851 [BibTeX]DOI text/html 2009-10-28T16:59:31+02:00 http://www.lbmethod.org/literature:wang_07c?rev=1256745571&do=diff M Wang and S Chen(2007) Electroosmosis in homogeneously charged micro- and nanoscale random porous media, J. Colloid Interface Sci. 314, 264-273 [BibTeX]DOI text/html 2009-10-28T16:59:54+02:00 http://www.lbmethod.org/literature:wang_07d?rev=1256745594&do=diff M Wang, J Wang, N Pan, and S Chen(2007) Mesoscopic Predictions of the Effective Thermal Conductivity of Microscale Random Porous Media, Phys. Rev. E 75, 036702 [BibTeX]DOI text/html 2009-10-28T17:00:14+02:00 http://www.lbmethod.org/literature:wang_07e?rev=1256745614&do=diff M Wang, J Wang, N Pan, S Chen, and J He(2007) Three dimensional effect on the effective thermal conductivity of porous media, J. Phys. D 40, 260-265 [BibTeX]DOI text/html 2009-10-28T17:00:28+02:00 http://www.lbmethod.org/literature:wang_07f?rev=1256745628&do=diff M Wang, N Pan, J Wang, and S Chen(2007) Mesoscopic simulations of phase distribution effects on the effective thermal conductivity of microgranular porous media, J. Colloid Interface Sci. 311, 562-570 [BibTeX]DOI text/html 2009-10-28T17:00:43+02:00 http://www.lbmethod.org/literature:wang_07g?rev=1256745643&do=diff M Wang, J He, J Yu, and N Pan(2007) Lattice Boltzmann modeling of the effective thermal conductivity for fibrous materials, Int. J. Thermal Sci. 46, 848-855 [BibTeX]DOI text/html 2009-10-28T17:00:59+02:00 http://www.lbmethod.org/literature:wang_07h?rev=1256745659&do=diff M Wang and N Pan(2007) Numerical analyses of effective dielectric constant of multiphase micro porous media, J. Appl. Phys. 101, 114102 [BibTeX]DOI text/html 2009-10-28T17:01:16+02:00 http://www.lbmethod.org/literature:wang_07i?rev=1256745676&do=diff M Wang, F Meng, and N Pan(2007) Transport properties of functionally graded materials, J. Appl. Phys. 102, 033514 [BibTeX]DOI text/html 2009-10-28T17:01:35+02:00 http://www.lbmethod.org/literature:wang_08?rev=1256745695&do=diff J Wang, M, Wang, and ZX Li(2008) Lattice Evolution Solution for the Nonlinear Poisson-Boltzmann Equation in Confined Domains, Commu. Nonlinear Sci. Numer. Simul. 13, 575-583 [BibTeX]DOI text/html 2009-10-28T17:01:53+02:00 http://www.lbmethod.org/literature:wang_08b?rev=1256745713&do=diff M Wang and N Pan(2008) Modeling and prediction of the effective thermal conductivity of random open-cell porous foams, Int. J. Heat Mass Transfer 51, 1325-1331 [BibTeX]DOI text/html 2009-10-28T17:03:36+02:00 http://www.lbmethod.org/literature:wang_08c?rev=1256745816&do=diff M Wang and N Pan(2008) Predictions of Effective Properties of Complex Multiphase Materials, Mater. Sci. Engin. R: Reports 63, 1-30 [BibTeX]DOI text/html 2009-10-28T17:03:51+02:00 http://www.lbmethod.org/literature:wang_09?rev=1256745831&do=diff M Wang and N Pan(2009) Elastic property of multiphase composites with random microstructures., J. Comput. Phys 228, 5978-5988 [BibTeX]DOI text/html 2009-10-28T17:04:06+02:00 http://www.lbmethod.org/literature:wang_09b?rev=1256745846&do=diff M Wang, QJ Kang, and N Pan(2009) Thermal conductivity enhancement of carbon fiber composites, Appl. Thermal. Engin. 29, 418-421 [BibTeX]DOI text/html 2009-10-28T17:04:20+02:00 http://www.lbmethod.org/literature:wang_09c?rev=1256745860&do=diff M Wang and QJ Kang(2009) Electrokinetic transport in microchannels with random roughness, Anal. Chem. 81, 2953-2961 [BibTeX]DOI text/html 2008-03-11T22:29:01+02:00 http://www.lbmethod.org/literature:zhao_93?rev=1205270941&do=diff Xiao-Hua Zhao, Keng-Huat Kwek, Ji-Bin Li and Ke-Lei Huang (1993) Chaotic and resonant streamlines in the ABC flow, SIAM J. Appl. Math., 53, 71-77 [BibTeX]DOI text/html 2008-02-18T23:24:55+02:00 http://www.lbmethod.org/literature:zou_he_97?rev=1203373495&do=diff Qisu Zou and Xiaoyi He (1997) On pressure and velocity boundary conditions for the lattice Boltzmann BGK model, Phys. Fluids, 9, 1592-1598 Like the Inamuro model, the Zou/He model is very accurate, especially in 2D flows. In most benchmarks, it tends to be slightly less accurate, but also slightly more stable than the Inamuro approach. The 3D extension of the Zou/He model is quite straightforward, which is a great advantage of this approach.