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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 39, 2001 - Issue 1
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Original Articles

ACCURACY AND EFFICIENCY STUDY OF LATTICE BOLTZMANN METHOD FOR STEADY-STATE FLOW SIMULATIONS

Pages 21-43 | Published online: 29 Oct 2010

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Tien-Mo Shih, Chandrasekhar Thamire, Chao-Ho Sung & An-Lu Ren. (2010) Literature Survey of Numerical Heat Transfer (2000–2009): Part I. Numerical Heat Transfer, Part A: Applications 57:3-4, pages 159-296.
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F. Kuznik & G. Rusaouen. (2007) Numerical Prediction of Natural Convection Occurring in Building Components: A Double-Population Lattice Boltzmann Method. Numerical Heat Transfer, Part A: Applications 52:4, pages 315-335.
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Abhinav Singh, Philipp H. Suhrcke, Pietro Incardona & Ivo F. Sbalzarini. (2023) A numerical solver for active hydrodynamics in three dimensions and its application to active turbulence. Physics of Fluids 35:10.
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Adi Morany, Karin Lavon, Ricardo Gomez Bardon, Brandon Kovarovic, Ashraf Hamdan, Danny Bluestein & Rami Haj-Ali. (2023) Fluid–structure interaction modeling of compliant aortic valves using the lattice Boltzmann CFD and FEM methods. Biomechanics and Modeling in Mechanobiology 22:3, pages 837-850.
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Anirudh Jonnalagadda, Atul Sharma & Amit Agrawal. (2021) Onsager-regularized lattice Boltzmann method: A nonequilibrium thermodynamics-based regularized lattice Boltzmann method. Physical Review E 104:1.
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Anirudh Jonnalagadda, Atul Sharma & Amit Agrawal. (2021) Single relaxation time entropic lattice Boltzmann methods: A developer’s perspective for stable and accurate simulations. Computers & Fluids 215, pages 104792.
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Shuangqiang Wang, Yunan Cai, Guiyong Zhang, Xiaobo Quan, Jianhua Lu & Sheng Li. (2018) A coupled immersed boundary‐lattice Boltzmann method with smoothed point interpolation method for fluid‐structure interaction problems. International Journal for Numerical Methods in Fluids 88:8, pages 363-384.
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Xuhui Meng, Liang Wang, Xiaofan Yang & Zhaoli Guo. (2018) Preconditioned multiple-relaxation-time lattice Boltzmann equation model for incompressible flow in porous media. Physical Review E 98:5.
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D. Arumuga Perumal. (2018) Lattice Boltzmann computation of multiple solutions in a double-sided square and rectangular cavity flows. Thermal Science and Engineering Progress 6, pages 48-56.
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Soufiene Bettaibi, Fr?d?ric Kuznik & Ezeddine Sediki. (2016) Hybrid LBM-MRT model coupled with finite difference method for double-diffusive mixed convection in rectangular enclosure with insulated moving lid. Physica A: Statistical Mechanics and its Applications 444, pages 311-326.
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D. Arumuga Perumal & Anoop K. Dass. (2013) Application of lattice Boltzmann method for incompressible viscous flows. Applied Mathematical Modelling 37:6, pages 4075-4092.
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D. Arumuga Perumal & Anoop K. Dass. (2011) Multiplicity of steady solutions in two-dimensional lid-driven cavity flows by Lattice Boltzmann Method. Computers & Mathematics with Applications 61:12, pages 3711-3721.
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Junfeng Zhang. (2010) Lattice Boltzmann method for microfluidics: models and applications. Microfluidics and Nanofluidics 10:1, pages 1-28.
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S. Kollmannsberger, S. Geller, A. Düster, J. Tölke, C. Sorger, M. Krafczyk & E. Rank. (2009) Fixed‐grid fluid–structure interaction in two dimensions based on a partitioned Lattice Boltzmann and p ‐FEM approach . International Journal for Numerical Methods in Engineering 79:7, pages 817-845.
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Georg Pingen, Anton Evgrafov & Kurt Maute. (2009) Adjoint parameter sensitivity analysis for the hydrodynamic lattice Boltzmann method with applications to design optimization. Computers & Fluids 38:4, pages 910-923.
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P.-H. Kao, T.-F. Ren & R.-J. Yang. (2007) An investigation into fixed-bed microreactors using lattice Boltzmann method simulations. International Journal of Heat and Mass Transfer 50:21-22, pages 4243-4255.
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P.-H. Kao & R.-J. Yang. (2007) Simulating oscillatory flows in Rayleigh?B?nard convection using the lattice Boltzmann method. International Journal of Heat and Mass Transfer 50:17-18, pages 3315-3328.
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Abhijit S Joshi, Aldo A Peracchio, Kyle N Grew & Wilson K S Chiu. (2007) Lattice Boltzmann method for continuum, multi-component mass diffusion in complex 2D geometries. Journal of Physics D: Applied Physics 40:9, pages 2961-2971.
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Sebastian Geller, Manfred Krafczyk, Jonas Tölke, Stefan Turek & Jaroslav Hron. (2006) Benchmark computations based on lattice-Boltzmann, finite element and finite volume methods for laminar flows. Computers & Fluids 35:8-9, pages 888-897.
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Haibo Huang, T.S. Lee & C. Shu. (2006) Lattice‐BGK simulation of steady flow through vascular tubes with double constrictions. International Journal of Numerical Methods for Heat & Fluid Flow 16:2, pages 185-203.
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Kun Xu & Xiaoyi He. (2003) Lattice Boltzmann method and gas-kinetic BGK scheme in the low-Mach number viscous flow simulations. Journal of Computational Physics 190:1, pages 100-117.
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Yong G. LaiLarry J. WeberV. C. Patel. (2003) Nonhydrostatic Three-Dimensional Model for Hydraulic Flow Simulation. I: Formulation and Verification. Journal of Hydraulic Engineering 129:3, pages 196-205.
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