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

ZHANG Hong-na; YU Bo; WANG Yi; WEI Jin-jia; LI Feng-chen

doi:10.3879/j.issn.1000-0887.2009.05.013

Volume 30 Issue 5

Turn off MathJax

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2009 > 30(5): 623-630

ZHANG Hong-na, YU Bo, WANG Yi, WEI Jin-jia, LI Feng-chen. Comments on the Paper “Three-Point Explicit Compact Difference Scheme With Arbitrary Order of Accuracy and Its Application in CFD”[J]. Applied Mathematics and Mechanics, 2009, 30(5): 623-630. doi: 10.3879/j.issn.1000-0887.2009.05.013

Citation:

PDF( 456 KB)

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

doi: 10.3879/j.issn.1000-0887.2009.05.013

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;

Received Date: 2008-09-23
Rev Recd Date: 2009-03-23
Publish Date: 2009-05-15

Abstract

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

FullText(HTML)

References(3)

References

[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