对论文“任意精度的三点紧致格式及其在CFD 中的应用”的评论
omment on the paper “Three-point explicit compact difference scheme with arbitrary order of accuracy and its application in CFD”
本文证明了林建国2007年发表在应用数学和力学上“任意精度的三点紧致显格式及其在CFD中的应用”[1]中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泰勒展开求待定系数的方法也更加简单。
his paper demonstrates that the explicit compact difference scheme which was proposed by Lin Jian-guo et al. in the paper “Three-point explicit compact difference scheme with arbitrary order of accuracy and its application in CFD” [1] published in Mathematics and Mechanics in 2007, has the same performance with the conventional finite difference schemes and it is another expression form of the conventional finite difference schemes. Though the proposed expression doesn’t have advantages of compact difference scheme, it is easier to be obtained and implemented in a code compared to convectional expression in which the coefficients should be obtained by solving equations especially for higher accurate scheme.
李凤臣、张红娜、宇波、魏进家、王艺
数学力学
显式紧致传统差分中心格式迎风格式
explicit compact difference scheme conventional finite difference scheme central difference scheme upwind difference scheme
李凤臣,张红娜,宇波,魏进家,王艺.对论文“任意精度的三点紧致格式及其在CFD 中的应用”的评论[EB/OL].(2008-06-16)[2025-08-02].http://www.paper.edu.cn/releasepaper/content/200806-362.点此复制
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