对论文“任意精度的三点紧致显格式及其在CFD中的应用”的评论

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Comments on the Paper “Three-Point Explicit Compact Difference Scheme With Arbitrary Order of Accuracy and Its Application in CFD”

1.
Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum (Beijing), Beijing 102249, P. R. China;
School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, P. R. China;

摘要: 证明了林建国等(林建国,谢志华,周俊陶．任意精度的三点紧致显格式及其在CFD中的应用．应用数学和力学,2007,28(7): 843-852)提出的紧致显格式与传统的差分格式实质相同，是传统差分格式的另一表达形式，并不具有紧致格式的优点．尽管如此，但这种表达形式更紧凑，推导获得高精度的差分表达式相对于传统的Taylor展开求待定系数的方法也更加简单．
- 显式紧致 /
- 传统差分 /
- 中心格式 /
- 迎风格式
Abstract: It was proved the explicit compact difference scheme, which was proposed by Lin et al. (Three-point explicit compact difference scheme with arbitrary order of accuracy and its application in CFD. Applied Mathem atics and M echan ics, 2007, 28(7):843-852) has the same performance as the conventional finite difference schemes and it is actually another expression form of the conventional finite difference schemes. Though the proposed expression doesn't have advantages of a compact difference scheme, it is easier to be obtained and implemented in a code compared to the conventional expression in which the coefficients should be obtained by solving equations especially for higher accurate schemes.
- explicit compact difference scheme /
- conventional finite difference scheme /
- central difference scheme /
- upwind difference scheme

[1]	林建国,谢志华,周俊陶.任意精度的三点紧致显格式及其在CFD中的应用[J].应用数学和力学,2007,28(7):843-852.
[2]	陶文铨. 数值传热学[M].西安: 西安交通大学出版社,2001,32-35.
[3]	Ghia U, Ghia K N, Shin C T. High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method[J].Journal of Computational Physics,1982,48(3):387-411. doi: 10.1016/0021-9991(82)90058-4