Discontinuity-Detecting Method for a Four-Point Stencil and Its Application to Develop a Third-Order Hybrid-WENO Scheme
文献类型：期刊论文
| 作者 | Liu SP(刘升平)2,3; Shen YQ(申义庆)1,3
|
| 刊名 | JOURNAL OF SCIENTIFIC COMPUTING
 |
| 出版日期 | 2019-12-01 |
| 卷号 | 81期号:3页码:1732-1766 |
| 关键词 | Third-order WENO scheme Discontinuity-detecting method Non-nodal critical point Hybrid-WENO scheme |
| ISSN号 | 0885-7474 |
| DOI | 10.1007/s10915-019-01060-8 |
| 通讯作者 | Shen, Yiqing(yqshen@imech.ac.cn) |
| 英文摘要 | First this paper analyzes the reason for the accuracy losing of the third-order weighted essentially non-oscillatory (WENO) scheme. It is shown that one reason is that the local smoothness indicators of the third-order WENO scheme cannot correctly treat the smooth three-point stencil containing a non-nodal critical point, here, 'non-nodal' means the critical point is not a grid point. And then a discontinuity-detecting method for a four-point stencil is proposed and applied to develop the high order accurate hybrid-WENO scheme by combining the third-order WENO scheme and a third-order upstream scheme. This four-point stencil is actually the stencil used for constructing the third-order WENO scheme (positive and negative numerical fluxes), hence the resulting hybrid-WENO scheme proposed by this paper does not introduce new grid point. Numerical examples show that the detecting method and the hybrid scheme are robust for problems with shocks, and the hybrid scheme obtains real third-order convergence rate for smooth solutions containing critical points. |
| 分类号 | 一类 |
| WOS关键词 | ESSENTIALLY NONOSCILLATORY SCHEMES ; EFFICIENT IMPLEMENTATION ; HIGH-ORDER |
| 资助项目 | NKRDPC[2016YFA0401200] ; NSAF[U1530145] ; NSFC[11872067] ; NSFC[91852203] ; SCP[TZ2016002] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000516825700002 |
| 资助机构 | NKRDPC ; NSAF ; NSFC ; SCP |
| 其他责任者 | Shen, Yiqing |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/81625]  |
| 专题 | 力学研究所_高温气体动力学国家重点实验室 |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China 2.Beihang Univ, Sch Aeronaut Sci & Engn, Beijing 100191, Peoples R China; 3.Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China; |
| 推荐引用方式 GB/T 7714 | Liu SP,Shen YQ. Discontinuity-Detecting Method for a Four-Point Stencil and Its Application to Develop a Third-Order Hybrid-WENO Scheme[J]. JOURNAL OF SCIENTIFIC COMPUTING,2019,81(3):1732-1766. |
| APA | 刘升平,&申义庆.(2019).Discontinuity-Detecting Method for a Four-Point Stencil and Its Application to Develop a Third-Order Hybrid-WENO Scheme.JOURNAL OF SCIENTIFIC COMPUTING,81(3),1732-1766. |
| MLA | 刘升平,et al."Discontinuity-Detecting Method for a Four-Point Stencil and Its Application to Develop a Third-Order Hybrid-WENO Scheme".JOURNAL OF SCIENTIFIC COMPUTING 81.3(2019):1732-1766. |
入库方式： OAI收割
来源：力学研究所
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