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An Efficient Lattice Boltzmann Model for Steady Convection–Diffusion Equation

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Abstract

In this paper, an efficient lattice Boltzmann model for n-dimensional steady convection–diffusion equation with variable coefficients is proposed through modifying the equilibrium distribution function properly, and the Chapman–Enskog analysis shows that the steady convection–diffusion equation with variable coefficients can be recovered exactly. Detailed simulations are performed to test the model, and the results show that the accuracy and efficiency of the present model are better than previous models.

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Acknowledgments

The authors would like to thank Mr Changsheng Huang and Ms Qiuxiang Li for many helpful suggestions and discussions this work. This study is supported by the National Natural Science Foundation of China (Grant Nos. 11272132, 51006040).

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Authors and Affiliations

  1. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, 430074, China

    Qianhuan Li, Zhenhua Chai & Baochang Shi

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  1. Qianhuan Li
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  2. Zhenhua Chai
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  3. Baochang Shi
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Correspondence to Baochang Shi.

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Li, Q., Chai, Z. & Shi, B. An Efficient Lattice Boltzmann Model for Steady Convection–Diffusion Equation. J Sci Comput 61, 308–326 (2014). https://doi.org/10.1007/s10915-014-9827-z

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  • DOI: https://doi.org/10.1007/s10915-014-9827-z

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