It is well known that Lattice Boltzmann Method (LBM) makes great success in many computational physics fields. But contrasting with its application, the numerical theory in Lattice Boltzmann method makes a little development. We will try to do something in this aspect. In order to solve a two dimension Burgers equation, a lattice Boltzmann scheme with BGK model is constructed. The maximum value principle is proved and the stability is obtained too. Numerical experiments show the second order convergent accuracy of the scheme.
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Chuzhou Univ, Sch Math & Finance, Chuzhou 239000, Anhui, Peoples R ChinaChuzhou Univ, Sch Math & Finance, Chuzhou 239000, Anhui, Peoples R China
Yu, Xiaomei
Zhang, Ling
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Chuzhou Univ, Sch Math & Finance, Chuzhou 239000, Anhui, Peoples R ChinaChuzhou Univ, Sch Math & Finance, Chuzhou 239000, Anhui, Peoples R China
Zhang, Ling
Hu, Beibei
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Chuzhou Univ, Sch Math & Finance, Chuzhou 239000, Anhui, Peoples R China
Zhejiang Normal Univ, Dept Phys, Jinhua 321004, Peoples R ChinaChuzhou Univ, Sch Math & Finance, Chuzhou 239000, Anhui, Peoples R China
Hu, Beibei
Hu, Ye
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Lvliang Univ, Dept Math, Lishi 033000, Peoples R ChinaChuzhou Univ, Sch Math & Finance, Chuzhou 239000, Anhui, Peoples R China
机构:
North Minzu Univ, Sch Math & Informat Sci, Yinchuan 750021, Ningxia, Peoples R China
Zhengzhou Univ Sci & Technol, Zhengzhou 450000, Henan, Peoples R ChinaNorth Minzu Univ, Sch Math & Informat Sci, Yinchuan 750021, Ningxia, Peoples R China
Zhang, Zongning
Li, Chunguang
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North Minzu Univ, Sch Math & Informat Sci, Yinchuan 750021, Ningxia, Peoples R China
Hefei Univ Technol, Sch Civil Engn, Hefei 230009, Anhui, Peoples R ChinaNorth Minzu Univ, Sch Math & Informat Sci, Yinchuan 750021, Ningxia, Peoples R China
Li, Chunguang
Dong, Jianqiang
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North Minzu Univ, Sch Math & Informat Sci, Yinchuan 750021, Ningxia, Peoples R China
Hefei Univ Technol, Sch Civil Engn, Hefei 230009, Anhui, Peoples R ChinaNorth Minzu Univ, Sch Math & Informat Sci, Yinchuan 750021, Ningxia, Peoples R China