A high-order modified finite-volume method on Cartesian grids for nonlinear convection-diffusion problems
文献类型：期刊论文
| 作者 | Du, Yulong1; Wang, Yahui2,3,4; Yuan, Li2,3,4 |
| 刊名 | COMPUTATIONAL & APPLIED MATHEMATICS
 |
| 出版日期 | 2020-07-14 |
| 卷号 | 39期号:3页码:20 |
| ISSN号 | 2238-3603 |
| 关键词 | Finite-volume method High-order accuracy Dimension-by-dimension reconstruction Cartesian grid Nonlinear convection-diffusion equation 65M08 65M12 65M20 |
| DOI | 10.1007/s40314-020-01253-0 |
| 英文摘要 | Recently, Buchmuller and Helzel proposed a modified dimension-by-dimension finite-volume (FV) WENO method on Cartesian grids for multidimensional nonlinear conservation laws which can retain the full order of accuracy of the underlying one-dimensional (1D) reconstruction. In this work, we extend this method to multidimensional convection-diffusion equations. The 1D sixth-order central reconstruction of the conserved quantity is utilized for discretizing the diffusion terms in which the diffusion coefficients may be nonlinear functions of the conserved quantity. Using high-order accurate conversions between edge-averaged values and edge center values of any sufficiently smooth quantity, high-order accurate convective and viscous numerical fluxes at cell interfaces are computed. The present modified FV method uses fourth-order accurate conversions for the diffusive fluxes. Numerical examples show that the present method achieves fourth-order accuracy for multidimensional smooth problems, and is suitable for the numerical simulation of viscous shocked flows. |
| 资助项目 | Natural Science Foundation of China[91641107] ; Natural Science Foundation of China[91852116] ; Fundamental Research of Civil Aircraft[MJ-F-2012-04] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | SPRINGER HEIDELBERG |
| WOS记录号 | WOS:000553137100005 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51870]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yuan, Li |
| 作者单位 | 1.Beihang Univ, Sch Math Sci, Beijing 100191, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Du, Yulong,Wang, Yahui,Yuan, Li. A high-order modified finite-volume method on Cartesian grids for nonlinear convection-diffusion problems[J]. COMPUTATIONAL & APPLIED MATHEMATICS,2020,39(3):20. |
| APA | Du, Yulong,Wang, Yahui,&Yuan, Li.(2020).A high-order modified finite-volume method on Cartesian grids for nonlinear convection-diffusion problems.COMPUTATIONAL & APPLIED MATHEMATICS,39(3),20. |
| MLA | Du, Yulong,et al."A high-order modified finite-volume method on Cartesian grids for nonlinear convection-diffusion problems".COMPUTATIONAL & APPLIED MATHEMATICS 39.3(2020):20. |
入库方式： OAI收割
来源：数学与系统科学研究院
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