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Comments on Three-point explicit compact difference scheme with arbitrary order of accuracy and its application in CFD

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Abstract

The explicit compact difference scheme, proposed in Three-point explicit compact difference scheme with arbitrary order of accuracy and its application in CFD by Lin et al., published in Applied Mathematics and Mechanics (English Edition), 2007, 28(7), 943–953, has the same performance as the conventional finite difference schemes. It is just another expression of the conventional finite difference schemes. The proposed expression does not have the advantages of a compact difference scheme. Nonetheless, we can more easily obtain and implement compared with the conventional expression in which the coefficients can only be obtained by solving equations, especially for higher accurate schemes.

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References

  1. Lin, Jianguo, Xie, Zhihua, and Zhou, Juntao. Three-point explicit compact difference scheme with arbitrary order of accuracy and its application in CFD. Appl. Math. Mech. -Engl. Ed. 28(7), 843–852 (2007) DOI: 10.1007/s10483-007-0711-x

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Authors and Affiliations

  1. Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum, Beijing, 102249, P. R. China

    Hong-na Zhang  (张红娜), Bo Yu  (宇波) & Yi Wang  (王艺)

  2. School of Energy Science and Engineering, Harbin Institute of Technology, Harbin, 150001, P. R. China

    Hong-na Zhang  (张红娜) & Feng-chen Li  (李凤臣)

  3. State Key Laboratory of Multiphase Flow in Power Engineering, Xi’an Jiaotong University, Xi’an, 710049, P. R. China

    Jin-jia Wei  (魏进家)

Authors
  1. Hong-na Zhang  (张红娜)
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  2. Bo Yu  (宇波)
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  3. Yi Wang  (王艺)
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  4. Jin-jia Wei  (魏进家)
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  5. Feng-chen Li  (李凤臣)
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Corresponding author

Correspondence to Hong-na Zhang  (张红娜).

Additional information

(Communicated by Zhe-wei ZHOU)

Project Supported by the National Natural Science Foundation of China (Nos. 50876114 and 10602043), the Program for New Century Excellent Talents in University, and the Scientific Research Key Project Fund of Ministry of Education (No. 106142)

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Zhang, Hn., Yu, B., Wang, Y. et al. Comments on Three-point explicit compact difference scheme with arbitrary order of accuracy and its application in CFD . Appl. Math. Mech.-Engl. Ed. 30, 669–676 (2009). https://doi.org/10.1007/s10483-009-0513-7

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  • DOI: https://doi.org/10.1007/s10483-009-0513-7

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