| Nonlinear spectral-like schemes for hybrid schemes | |
He, ZW ; Li XL(李新亮); Liang X(梁贤); Li, XL (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China.
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| Source Publication | SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY
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| 2014-04 | |
| Volume | 57Issue:4Pages:753-763 |
| ISSN | 1674-7348 |
| Abstract | In spectral-like resolution-WENO hybrid schemes, if the switch function takes more grid points as discontinuity points, the WENO scheme is often turned on, and the numerical solutions may be too dissipative. Conversely, if the switch function takes less grid points as discontinuity points, the hybrid schemes usually are found to produce oscillatory solutions or just to be unstable. Even if the switch function takes less grid points as discontinuity points, the final hybrid scheme is inclined to be more stable, provided the spectral-like resolution scheme in the hybrid scheme has moderate shock-capturing capability. Following this idea, we propose nonlinear spectral-like schemes named weighted group velocity control (WGVC) schemes. These schemes show not only high-resolution for short waves but also moderate shock capturing capability. Then a new class of hybrid schemes is designed in which the WGVC scheme is used in smooth regions and the WENO scheme is used to capture discontinuities. These hybrid schemes show good resolution for small-scales structures and fine shock-capturing capabilities while the switch function takes less grid points as discontinuity points. The seven-order WGVC-WENO scheme has also been applied successfully to the direct numerical simulation of oblique shock wave-turbulent boundary layer interaction. |
| Keyword | Group Velocity Control Hybrid Weno Shockwave-turbulent Boundary Layer Interaction Direct Numerical Simulation |
| Subject Area | Physics |
| URL | 查看原文 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000332978500023 |
| Funding Organization | Thanks to Profs. FU DeXun and MA YanWen for helpful discussions. This work was supported by the National Natural Science Foundation of China (Grant Nos. 11372330 and 11072248), the National High Technology Research and Development Program of China (Grant No. 2012AA01A304) and the Chinese Academy of Sciences Program (Grant Nos. KJCX2-EW-J01 and XXH12503-02-02-04). The authors thank National Supercomputer Center in Tianjin (NSCC), Supercomputing Center of Chinese Academy of Sciences (SCCAS) and Shanghai Supercomputer Center (SSC) for providing computer time. |
| Department | LHD可压缩湍流 |
| Classification | 二类/Q3 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/48756 |
| Collection | 高温气体动力学国家重点实验室 |
| Corresponding Author | Li, XL (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China. |
| Recommended Citation GB/T 7714 | He, ZW,Li XL,Liang X,et al. Nonlinear spectral-like schemes for hybrid schemes[J]. SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY,2014,57,4,:753-763. |
| APA | He, ZW,Li XL,Liang X,&Li, XL .(2014).Nonlinear spectral-like schemes for hybrid schemes.SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY,57(4),753-763. |
| MLA | He, ZW,et al."Nonlinear spectral-like schemes for hybrid schemes".SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY 57.4(2014):753-763. |
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