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Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (5): 669-676.doi: https://doi.org/10.1007/s10483-009-0513-7

• Articles • 上一篇    

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

张红娜1,2，宇波1，王艺1，魏进家3，李凤臣2   

  1. 1. Beijing Key Laboratory of Urban Oil and Gas Distribution Technology,China University of Petroleum, Beijing 102249, P. R. China;
    2. School of Energy Science and Engineering, Harbin Institute of Technology,Harbin 150001, P. R. China;
    3. State Key Laboratory of Multiphase Flow in Power Engineering,Xi’an Jiaotong University, Xi’an 710049, P. R. China
  • 收稿日期:2008-09-24 修回日期:2009-02-23 出版日期:2009-05-01 发布日期:2009-05-01

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

Hong-Na ZHANG1,2, Bo YU1, Yi WANG1, Jin-Jia WEI3, Feng-Chen LI2   

  1. 1. Beijing Key Laboratory of Urban Oil and Gas Distribution Technology,China University of Petroleum, Beijing 102249, P. R. China;
    2. School of Energy Science and Engineering, Harbin Institute of Technology,Harbin 150001, P. R. China;
    3. State Key Laboratory of Multiphase Flow in Power Engineering,Xi’an Jiaotong University, Xi’an 710049, P. R. China
  • Received:2008-09-24 Revised:2009-02-23 Online:2009-05-01 Published:2009-05-01

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摘要： 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.

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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