CHEN Song-ying, WANG Chao, QU Yan-peng, WANG Run-kun. Local Grid Refinement Implementation of Lid Driven Cavity Flow Based on MRT-LBM[J]. Journal of Northeastern University Natural Science, 2018, 39(4): 538-542.
[1]Chen S,Doolen G.Lattice Boltzmann method for fluid flows [J].Annual Review of Fluid Mechanics,1998,30:329-364. [2]Succi S.The lattice Boltzmann equation for fluid dynamics and beyond[M].Oxford:Clarendon Press,2001. [3]Yu D,Mei R,Luo L S,et al.Viscous flow computations with the method of lattice Boltzmann equation [J].Progress Aerospace Science,2003,39:329-367. [4]Frish U,Hasslaeher B,Porneau Y.Lattice-gas automata for the Navier-Stokes equations [J].Physical Review Letters,1986,56(14):1505-1508. [5]Menamara G R,Zanetti G.Use of the Boltzmann equation to simulate lattice automata [J].Physical Review Letters,1988,61(20):2332-2335. [6]Higuera F J,Jimenez J.Boltzmann approach to lattice gas simulation [J].Euro-Physics Letters,1989,9(7):663-668. [7]Chen S,Chen H D.Martinez D,et al.Lattice Boltzmann model for simulation of magneto hydrodynamics [J].Physical Review Letters,1991,67(27):3776-3779. [8]Qian Y H,D’Humieres D,Lallemand P.Lattice BGK models for Navier-Stokes equation [J].Euro-Physics Letters,1992,17(6):479-484. [9]D’humieres D.Generalized lattice Boltzmann equations in AIAA rarefied gas dynamics:theory and applications[J].Progress Astronaut Aeronaut,1992,159:450-458. [10]Lallemand P,Luo L S.Theory of the lattice Boltzmann method:dispersion,dissipation,isotropy,Galilean invariance and stability [J].Physical Review E,2000,61:6546-6562. [11]Luo L S,Liao W,Chen X,et al.Numerics of the lattice Boltzmann method:effects of collision models on the lattice Boltzmann simulations [J].Physical Review E,2011,83(5):056710. [12]杨帆,施徐明,郭雪岩,等.多弛豫时间格子波尔兹曼方法的分块算法[J].排灌机械工程学报,2013(1):56-60.(Yang Fan,Shi Xu-ming,Guo Xue-yan,et al.Multi-block implementation of MRT-LBM [J].Journal of Drainage and Irrigation Machinery Engineering,2013(1):56-60.) [13]郭照立,郑楚光.格子Boltzmann方法的原理及应用[M].北京:科学出版社,2009:46-53.(Guo Zhao-li,Zheng Chu-guang.The principle and application of lattice Boltzmann method [M].Beijing:Science Press,2009:46-53.) [14]Shan F,Guo X S,Tu J,et al.Multi-relaxation-time lattice Boltzmann modeling of the acoustic field generated by focused transducer[J].International Journal of Modern Physics C,2017,28(3):38-52. [15]Humieres D,Ginzburg I,Krafczyk M,et al.Multiple relaxation-time lattice Boltzmann models in three dimensions [J].Philosophical Transaction of the Royal Society,2002,360:437-451. [16]Mei R,Luo L S,Lallemand P,et al.Consistent initial conditions for lattice Boltzmann simulation [J].Computer & Fluids,2006,35:855-862. [17]Peng Y,Shu C,Chew Y T,et al.Application of multi-block approach in the immersed boundary-lattice Boltzmann method for viscous fluid flows [J].Journal of Computational Physics,2006,218:460-478. [18]Ghia U,Ghia K N,Shin C T.High-resolutions for incompressible flow using the Navier-Stokes equations and a multi-grid method [J].Journal of Computational Physics,1982,48:387-411. [19]Farhat H,Lee J S.Fundamentals of migrating multi-block lattice Boltzmann model for immiscible mixtures in 2D geometries [J].International Journal of Multiphase Flow,2010,36:769-779. [20]Chen S Y,Peng C,Teng Y H,et al.Improving lattice Boltzmann simulation of moving particles in a viscous flow using local grid refinement [J].Computer & Fluids,2010,36(10):769-779. [21]Wu J S,Shao Y L.Simulation of lid-driven cavity flows by parallel lattice Boltzmann method using multi-relaxation-time scheme [J].International Journal of Numerical Method in Fluids,2004,46:921-937.