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Analysis and application of high resolution numerical perturbation algorithm for Convective-Diffusion Equation
Gao Z(高智); Shen YQ(申义庆)
Source PublicationChinese Physics Letters
2012-10
Volume29Issue:10Pages:104702
ISSN0256-307X
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.

Subject Area计算流体力学
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Indexed BySCI ; CSCD
Language英语
WOS IDWOS:000309962700031
DepartmentLHD气动布局优化与计算方法
ClassificationQ3
Citation statistics
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/45755
Collection高温气体动力学国家重点实验室
Recommended Citation
GB/T 7714
Gao Z,Shen YQ. Analysis and application of high resolution numerical perturbation algorithm for Convective-Diffusion Equation[J]. Chinese Physics Letters,2012,29(10):104702.
APA Gao Z,&Shen YQ.(2012).Analysis and application of high resolution numerical perturbation algorithm for Convective-Diffusion Equation.Chinese Physics Letters,29(10),104702.
MLA Gao Z,et al."Analysis and application of high resolution numerical perturbation algorithm for Convective-Diffusion Equation".Chinese Physics Letters 29.10(2012):104702.
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