| Optimized sixth-order monotonicity-preserving scheme by nonlinear spectral analysis | |
Li XL(李新亮) ; Leng Y(冷岩); He ZW(何志伟); Li, XL (reprint author), Chinese Acad Sci, LHD Inst Mech, Beijing 100190, Peoples R China
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| Source Publication | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
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| 2013-10-30 | |
| Volume | 73Issue:6Pages:560–577 |
| ISSN | 0271-2091 |
| Abstract | In this paper, sixth-order monotonicity-preserving optimized scheme (OMP6) for the numerical solution of conservation laws is developed on the basis of the dispersion and dissipation optimization and monotonicity-preserving technique. The nonlinear spectral analysis method is developed and is used for the purpose of minimizing the dispersion errors and controlling the dissipation errors. The new scheme (OMP6) is simple in expression and is easy for use in CFD codes. The suitability and accuracy of this new scheme have been tested through a set of one-dimensional, two-dimensional, and three-dimensional tests, including the one-dimensional Shu-Osher problem, the two-dimensional double Mach reflection, and the Rayleigh-Taylor instability problem, and the three-dimensional direct numerical simulation of decaying compressible isotropic turbulence. All numerical tests show that the new scheme has robust shock capturing capability and high resolution for the small-scale waves due to fewer numerical dispersion and dissipation errors. Moreover, the new scheme has higher computational efficiency than the well-used WENO schemes. |
| Keyword | Nonlinear Spectral Analysis Monotonicity-preserving Optimization Shock-capturing Schemes Dissipation Dispersion |
| Subject Area | 流体力学 ; 计算流体力学 |
| URL | 查看原文 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000324017500003 |
| Funding Organization | Thanks to Profs Dexun Fu and Yanwen Ma in the Institute of Mechanics, CAS for the advices of numerical methods. Thanks to Prof Yuxin Ren in Tsinghua University for the helpful discussion on the optimization method. This work was supported by the National Natural Science Foundation of China (Nos. 10632050, 10872205, 11072248), the 973 project (Grant Nos. 2009CB724100), the 863 program (No. 2012AA01A304), and project of CAS INFO-115-B0. The authors thank National Supercomputing Center in Tianjin (NSCC-TJ), 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 | Q3 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/47441 |
| Collection | 高温气体动力学国家重点实验室 |
| Corresponding Author | Li, XL (reprint author), Chinese Acad Sci, LHD Inst Mech, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Li XL,Leng Y,He ZW,et al. Optimized sixth-order monotonicity-preserving scheme by nonlinear spectral analysis[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,2013,73,6,:560–577. |
| APA | Li XL,Leng Y,He ZW,&Li, XL .(2013).Optimized sixth-order monotonicity-preserving scheme by nonlinear spectral analysis.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,73(6),560–577. |
| MLA | Li XL,et al."Optimized sixth-order monotonicity-preserving scheme by nonlinear spectral analysis".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS 73.6(2013):560–577. |
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