| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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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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| Cite this article: |
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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.
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Received: 09 May 2012
Published: 01 October 2012
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