LATTICE BOLTZMANN METHOD FOR BURGERS EQUATION

doi:10.3969/j.issn.1001-246X.2000.01.028

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2000, Vol. 17 ›› Issue (S1): 166-172.DOI: 10.3969/j.issn.1001-246X.2000.01.028

Previous Articles Next Articles

LATTICE BOLTZMANN METHOD FOR BURGERS EQUATION

SHEN Zhi-jun, YUAN Guang-wei, SHEN Long-jun

Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing, 100088, P R China

Received:1999-09-06 Online:2000-12-25 Published:2000-12-25

Abstract

Abstract: It is well known that lattice Boltzmann methods(LBM) make great success in many computational physics fields,expecially in fluid mechanics.A lattice Boltzmann method with BGK model is developed to solve Burgers equation.Detailed analysis shows that the calculating scheme is a three level nonlinear finite difference one.The maximum value principle has been proved and the existence,uniqueness and stability are also discussed.The computational results agree with second order finite difference solutions very well.

Key words: lattice Boltzmann, Burgers equation, stability

CLC Number:

O24
O351

SHEN Zhi-jun, YUAN Guang-wei, SHEN Long-jun. LATTICE BOLTZMANN METHOD FOR BURGERS EQUATION[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2000, 17(S1): 166-172.

[1]	Shuting FENG, Houping DAI, Tongzheng SONG. Lattice Boltzmann Method for Two-dimensional Fractional Reaction-Diffusion Equations [J]. Chinese Journal of Computational Physics, 2022, 39(6): 666-676.
[2]	Hua ZHANG, Minghui YANG. Stability Analysis of Compressible Viscous Circular Jet [J]. Chinese Journal of Computational Physics, 2022, 39(5): 529-536.
[3]	Liubin ZHANG, Yanguang SHAN, Zhicheng RONG. Single Bubble Dynamics in Pool Boiling Under Uniform Electric Field: LBM Simulation [J]. Chinese Journal of Computational Physics, 2022, 39(5): 537-548.
[4]	Jiaxin LIU, Lin ZHENG, Beihao ZHANG. Entropy Generation in Double-diffusive Natural Convection in a Square Porous Enclosure: Lattice Boltzmann Method [J]. Chinese Journal of Computational Physics, 2022, 39(5): 549-563.
[5]	Lihong TANG, Zongmei HE, Yanli YAO. Magnetic Induction HR Neuron with Hidden Extreme Multistability and Its Circuit Implementation [J]. Chinese Journal of Computational Physics, 2022, 39(5): 589-597.
[6]	Pin-liang LIN, Huan-huan FENG, Yu-hong DONG. Analysis of Flow Field Around a Cylinder with Porous Media Layer [J]. Chinese Journal of Computational Physics, 2022, 39(4): 418-426.
[7]	Qiao-ling ZHANG, He-fang JING. Flow Patterns in Three-dimensional Lid-driven Cavities with Curved Boundary: MRT-LBM Study [J]. Chinese Journal of Computational Physics, 2022, 39(4): 427-439.
[8]	Lu CHEN, Ming GAO, Jia LIANG, Dongmin WANG, Yugang ZHAO, Lixin ZHANG. Droplet Upward Movement on an Inclined Surface Under Wetting Gradient: Lattice Boltzmann Simulation [J]. Chinese Journal of Computational Physics, 2021, 38(6): 672-682.
[9]	Xuedan WEI, Houping DAI, Mengjun LI, Zhoushun ZHENG. Lattice Boltzmann Method for One-dimensional Riesz Spatial Fractional Convection-Diffusion Equations [J]. Chinese Journal of Computational Physics, 2021, 38(6): 683-692.
[10]	Liu YANG, Jingwei GAO, Yuanhan ZHENG, Xiaomei LI, Yunfan ZHANG. Numerical Simulation of Imbibition Law of Heterogeneous Sandy Conglomerate: Lattice Boltzmann Method [J]. Chinese Journal of Computational Physics, 2021, 38(5): 534-542.
[11]	Jiangtao ZHENG, Ninghong JIA, Huifang HU, Yong YANG, Yang JU, Moran WANG. Study on Liquid-Liquid Spontaneous Imbibition Dynamics in Bifurcated Channels [J]. Chinese Journal of Computational Physics, 2021, 38(5): 543-554.
[12]	Chuang XUE, Xingdong LI, Wenjun SUN, Wenhua YE, Xianjue PENG. A Multi-material Five-equation-reduced Model and Artificial Compression Method for Interface Capture [J]. Chinese Journal of Computational Physics, 2021, 38(3): 257-268.
[13]	Qin LOU, Sheng TANG, Haoyuan WANG. Numerical Simulation of Bubble Dynamics in Porous Media with a Lattice Boltzmann Large Density Ratio Model [J]. Chinese Journal of Computational Physics, 2021, 38(3): 289-300.
[14]	Jia LIANG, Ming GAO, Lu CHEN, Dongmin WANG, Lixin ZHANG. Lattice Boltzmann Study of a Droplet Impinging on a Stationary Droplet on a Fixed Wall Surface with Different Wettability [J]. Chinese Journal of Computational Physics, 2021, 38(3): 313-323.
[15]	CAO Qiwei, XIAO Delong, YANG Xianjun, WANG Jianguo. Numerical Simulation on Nonlinear Evolution of Magneto-Rayleigh-Taylor Instability [J]. Chinese Journal of Computational Physics, 2021, 38(1): 5-15.

LATTICE BOLTZMANN METHOD FOR BURGERS EQUATION

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Authors

Reviewers

Journal Online

About Journal