Chin. Phys. Lett.  2012, Vol. 29 Issue (10): 104702    DOI: 10.1088/0256-307X/29/10/104702
FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
Analysis and Application of High Resolution Numerical Perturbation Algorithm for Convective-Diffusion Equation
GAO Zhi, SHEN Yi-Qing**
LHD, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190
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GAO Zhi, SHEN Yi-Qing 2012 Chin. Phys. Lett. 29 104702
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Abstract The high resolution numerical perturbation (NP) algorithm is analyzed and tested using various convective-diffusion equations. The NP algorithm is constructed by splitting the second order central difference schemes of both convective and diffusion terms of the convective-diffusion equation into upstream and downstream parts, then the perturbation reconstruction functions of the convective coefficient are determined using the power-series of grid interval and eliminating the truncated errors of the modified differential equation. The important nature, i.e. the upwind dominance nature, which is the basis to ensuring that the NP schemes are stable and essentially oscillation free, is firstly presented and verified. Various numerical cases show that the NP schemes are efficient, robust, and more accurate than the original second order central scheme.
Received: 09 May 2012      Published: 01 October 2012
PACS:  47.11.Bc (Finite difference methods)  
  47.10.ad (Navier-Stokes equations)  
  02.70.Bf (Finite-difference methods)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/29/10/104702       OR      https://cpl.iphy.ac.cn/Y2012/V29/I10/104702
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GAO Zhi
SHEN Yi-Qing
[1] Fletcher C A J 1997 Computational Techniques for Fluid Dynamics (Berlin: Springer)
[2] Gao Z 2000 Adv. Mech. 30 200 (in Chinese)
[3] Gao Z 2010 Adv. Mech. 40 607 (in Chinese)
[4] Shen Y Q, Gao Z and Yang D H 2003 ACTA Aerodynamica Sin. 21 342 (in Chinese)
[5] Yang M Y, Shu S and Li M J 2010 Chin. J. Hydrodyn. 25 307 (in Chinese)
[6] Zhu K and Li M J 2011 Chin. J. Theor. Appl. Mech. 43 55 (in Chinese)
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[8] Gao Z, Shen Y Q and Yang G W 2004 CFD J. 13 204
[9] Gao Z 2010 Chin. J. Theor. Appl. Mech. 42 811 (in Chinese)
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