Resolution-optimised nonlinear scheme for secondary derivatives
文献类型：期刊论文
| 作者 | Li L(李理) ; Yu ZP(于长平); Chen Z(陈哲); Li XL(李新亮)
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| 刊名 | INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS
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| 出版日期 | 2016 |
| 卷号 | 30期号:2页码:107-119 |
| 通讯作者邮箱 | lixl@imech.ac.cn |
| 关键词 | Spectral-like schemes secondary derivatives viscous terms nonlinear optimisation nonlinear weight |
| ISSN号 | 1061-8562 |
| 其他题名 | 分辨率优化的二阶导数非线性格式 |
| 产权排序 | [Li, Li; Yu, Changping; Chen, Zhe; Li, Xinliang] Chinese Acad Sci, Inst Mech, Beijing, Peoples R China |
| 通讯作者 | Li, XL (reprint author), Chinese Acad Sci, Inst Mech, Beijing, Peoples R China. |
| 中文摘要 | A 5-point-stencil optimised nonlinear scheme with spectral-like resolution within the whole wave number range for secondary derivatives is devised. The proposed scheme can compensate for the dissipation deficiency of traditional linear schemes and suppress the spurious energy accumulation that occurs at high wave numbers, both of which are frequently encountered in large eddy simulation. The new scheme is composed of a linear fourth-order central scheme term and an artificial viscosity term. These two terms are connected by a nonlinear weight. The proposed nonlinear weight is designed based on Fourier analysis, rather than Taylor analysis, to guarantee a spectral-like resolution. Moreover, the accuracy is not affected by the optimisation, and the new scheme reaches fourth-order accuracy. The new scheme is tested numerically using the one-dimensional diffusion problem, one-dimensional steady viscous Burger's shock, two-dimensional vortex decaying, three-dimensional isotropic decaying turbulence and fully developed turbulent channel flow. All the tests confirm that the new scheme has spectral-like resolution and can improve the accuracy of the energy spectrum, dissipation rate and high-order statistics of turbulent flows. |
| 分类号 | Q3 |
| 类目[WOS] | Mechanics ; Physics, Fluids & Plasmas |
| 研究领域[WOS] | Mechanics ; Physics |
| 关键词[WOS] | Spectral-like schemes ; secondary derivatives ; viscous terms ; nonlinear optimisation ; nonlinear weight |
| 收录类别 | SCI ; EI |
| 原文出处 | http://dx.doi.org/10.1080/10618562.2016.1164849 |
| 语种 | 英语 |
| WOS记录号 | WOS:000381071100002 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/59640]  |
| 专题 | 力学研究所_高温气体动力学国家重点实验室 |
| 推荐引用方式 GB/T 7714 | Li L,Yu ZP,Chen Z,et al. Resolution-optimised nonlinear scheme for secondary derivatives[J]. INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS,2016,30(2):107-119. |
| APA | 李理,于长平,陈哲,&李新亮.(2016).Resolution-optimised nonlinear scheme for secondary derivatives.INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS,30(2),107-119. |
| MLA | 李理,et al."Resolution-optimised nonlinear scheme for secondary derivatives".INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS 30.2(2016):107-119. |
入库方式： OAI收割
来源：力学研究所
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