A LATTICE BOLTZMANN METHOD FOR KDV EQUATION 被引量：1

A LATTICE BOLTZMANN METHOD FOR KDV EQUATION

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摘要 We prepose a 5-bit lattice Boltzmann model for KdV equation. Using Chapman-Enskog expansion and multiscale technique, we obtained high order moments of equilibrium distribution function, and the 3rd dispersion coefficient and 4th order viscosity. The parameters of this scheme can be determined by analysing the energy dissipation. We prepose a 5-bit lattice Boltzmann model for KdV equation. Using Chapman-Enskog expansion and multiscale technique, we obtained high order moments of equilibrium distribution function, and the 3rd dispersion coefficient and 4th order viscosity. The parameters of this scheme can be determined by analysing the energy dissipation.

作者阎广武陈耀松胡守信

机构地区 Laboratory for Nonlinear Mechanics of Continuous Media Department of Mechanics Department of Mathematics

出处《Acta Mechanica Sinica》 SCIE EI CAS CSCD 1998年第1期18-26,共9页 力学学报（英文版）

基金 The project supported by the Foundation of the Laboratory for Nonlinear Mechanics of Continuous Media,Institute of Mechanics,Chinese Academy of Sciences

关键词 lattice Boltzmann method KdV equation multiscale technique 5-bit lattice conservational law in time scalet 0 lattice Boltzmann method KdV equation multiscale technique 5-bit lattice conservational law in time scalet 0

分类号 O241 [理学—计算数学]

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参考文献11

1阎广武,胡守信,施卫平.守恒方程的差分型格子气方法[J].计算物理,1997,14(2):190-194. 被引量：6
2邹秀芬.对流扩散方程的格点模型[J].计算物理,1996,13(3):310-314. 被引量：4
3Chapman S,Cowling TG.The Mathematical Theory Non-Uniform Gas. . 1939
4Xin XK,Liu RX,Jiang BC.Computational Fluid Dynamics. . 1989
5Qian YH,d’humieres D,Lallemand P.Lattice BGK model for Navier-Stokes equation. Europhysics Letters . 1992
6Chen H,Chen S,Matthaeus W H.Recovery of the Navier-Stokes equation using a latticegas Boltzmann method. Physical Review A Atomic, Molecular, and Optical Physics . 1992
7Benzi R,Succi S,Vergassola M.The lattice Boltzmann equations: theory and applications. Physics Reports . 1992
8Frisch U.Relation between the lattice Boltzmann equation and the Navier-Stokes equation. Physica . 1991
9Guo B L,Pang X F.Soliton. . 1987
10Hou S L,Zhou O S,Chen S Y,et al.Simulation of cavity flow by the lattice Boltzmann method. Journal of Computational Physics . 1995

二级参考文献10

1施卫平,胡守信,阎广武.计算可压缩流体流动的LB多速度模型[J].吉林大学自然科学学报,1996(2):7-12. 被引量：8
2阎广武,胡守信,施卫平.用于模拟弱可压缩Navier-Stokes方程的格子气模型[J].吉林大学自然科学学报,1997(1):1-6. 被引量：7
3李元香，数值计算与计算机应用，1995年，3期
4邹秀芬，智能计算机基础研究’94，1994年
5陈景良，全国第三届并行算法学术会议论文集，1993年
6陈景良，全国第三届并行算法学术会议论文集，1991年
7Hou S L，J Comput Phys，1995年，118卷，329页
8傅德薰，流体力学数值模拟，1993年
9Chen H，J Phys Rev A，1992年，45卷，5339页
10胡守信，Acta Mech Sin

共引文献8

1阎广武,胡守信,施卫平.Euler方程的双分布函数格子Boltzmann Godunov方法[J].计算物理,1998,0(2):67-72. 被引量：2
2阎广武,阎广武.用格子Boltzmann方法研究Burgers方程[J].力学学报,1999,31(2):143-151. 被引量：20
3闫广武.正则长波方程的格子Boltzmann模型[J].计算物理,1999,16(4):395-400.
4闫广武.A LAGRANGIAN LATTICE BOLTZMANN METHOD FOR EULER EQUATIONS[J].Acta Mechanica Sinica,1998,14(2):186-192.
5胡守信,阎广武,施卫平.A LATTICE BOLTZMANN MODEL FOR COMPRESSIBLE PERFECT GAS[J].Acta Mechanica Sinica,1997,13(3):218-226. 被引量：4
6钟巍,田宙.五阶精度WENO差分型格子波尔兹曼算法求解单守恒方程[J].数值计算与计算机应用,2012,33(4):241-250.
7施卫平,胡守信,阎广武.用LBM模拟无粘性浅水长波方程[J].吉林工业大学自然科学学报,2000,30(2):66-68. 被引量：2
8牛英煜,王荣.格点法模拟静电场电势分布[J].大学物理实验,2016,29(4):42-45. 被引量：3

同被引文献10

1Philip A Thompson.Compressible-Fluid Dynamics. . 1972
2Liu MR.Lattics Boltzmann Method for one dimensional traffic flow. Proceedings of the Conference of Yong Scholars on New Directions of Fliud Mechanics . 1998
3Whitham GB.Linear and Nonlinear Waves. . 1974
4Nagel K,Schreckenberg M.A cellular automaton model for freeway traffic. Journal de Physique I (France) . 1992
5Qian YH,d’humieres D,Lallemand P.Lattice BGK model for Navier-Stokes equation. Europhysics Letters . 1992
6Chen H,Chen S,Matthaeus W H.Recovery of the Navier-Stokes equation using a latticegas Boltzmann method. Physical Review A Atomic, Molecular, and Optical Physics . 1992
7YAN Guang-wu,CHEN Yao-song,HU Shou-xin.Simple lattice Boltzmann method forsimulating flows with shock wave. Physical Review E Statistical, Nonlinear and Soft Matter Physics . 1999
8Chapard B,Luthi PO,Queloz PA.Cellular automaton model for car traffic in a two-dimensional street network. Journal of Physics A Mathematical and General . 1996
9Brunnet LG.Cellular automaton block model of traffic in a city. Physica A Statistical Mechanics and its Applications . 1997
10孙成海.多组份流体质量扩散的格子Boltzmann方法[J].力学学报,1998,30(1):20-26. 被引量：7

引证文献1

1闫广武,胡守信.SIMPLE LATTICE BOLTZMANN MODEL FOR TRAFFIC FLOWS[J].Acta Mechanica Sinica,2000,16(1):70-74. 被引量：1

二级引证文献1

1李元,段雅丽,刘儒勋.交通流中红绿灯模型的格子玻尔兹曼模型(英文)[J].中国科学技术大学学报,2009,39(12):1237-1243. 被引量：1

1Nan-Xian Chen,Bo-Hua Sun.Note on Divergence of the Chapman-Enskog Expansion for Solving Boltzmann Equation[J].Chinese Physics Letters,2017,34(2):15-17.
2闫广武,胡守信.SIMPLE LATTICE BOLTZMANN MODEL FOR TRAFFIC FLOWS[J].Acta Mechanica Sinica,2000,16(1):70-74. 被引量：1
3陈林婕,马昌凤.A lattice Boltzmann model with an amending function for simulating nonlinear partial differential equations[J].Chinese Physics B,2010,19(1):148-155. 被引量：1
4高真圣,谭忠,吴国春.ENERGY DISSIPATION FOR WEAK SOLUTIONS OF INCOMPRESSIBLE MHD EQUATIONS[J].Acta Mathematica Scientia,2013,33(3):865-871. 被引量：3
5胡守信,阎广武,施卫平.A LATTICE BOLTZMANN MODEL FOR COMPRESSIBLE PERFECT GAS[J].Acta Mechanica Sinica,1997,13(3):218-226. 被引量：4
6CHEN Feng,XU Ai-Guo,ZHANG Guang-Cai,GAN Yan-Biao,CHENG Tao,LI Ying-Jun.Highly Efficient Lattice Boltzmann Model for Compressible Fluids:Two-Dimensional Case[J].Communications in Theoretical Physics,2009,52(10):681-693. 被引量：2
7陈锋,许爱国,张广财,李英骏.Three-Dimensional Lattice Boltzmann Model for High-Speed Compressible Flows[J].Communications in Theoretical Physics,2010(12):1121-1128. 被引量：1
8SUN Ye-zhi 1, WU Ai-xiang 1, LI Jian-hua 1,2 (1. College of Resources, Environment and Civil Engineering, Central South Unive rsity, Changsha 410083, China,2. The 5th Building Company in Guangdong Province, Shaoguan 512026, China).Wave propagation and energy dissipation in viscoelastic granular media[J].Journal of Central South University,2001,13(3):185-188. 被引量：2
9Nor Azwadi Che Sidik Ng Chee Horng.Lattice Boltzmann modelling of microchannel flow[J].材料科学与工程（中英文版）,2009,3(12):17-21.
10高振宇,林建忠,李俊.Theoretical research on rotational dispersion coefficient of fiber in turbulent shear flow of fiber suspension[J].Applied Mathematics and Mechanics(English Edition),2007,28(3):289-296.

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1998年第1期

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