Hybrid Compact-WENO Finite Difference Scheme For Detonation Waves Simulations

被引:3
|
作者
Niu, Yanpo [1 ]
Gao, Zhen [1 ,2 ]
Don, Wai Sun [1 ]
Xie, Shusen [1 ]
Li, Peng [3 ]
机构
[1] Ocean Univ China, Sch Math Sci, Qingdao, Peoples R China
[2] Minist Educ, Key Lab Marine Environm & Ecol, Qingdao, Peoples R China
[3] Beijing Inst Technol, State Key Lab Explos Sci & Technol, Beijing 100081, Peoples R China
来源
SPECTRAL AND HIGH ORDER METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS ICOSAHOM 2014 | 2015年 / 106卷
关键词
NON-OSCILLATION SCHEMES;
D O I
10.1007/978-3-319-19800-2_14
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
The performance of a hybrid compact (Compact) finite difference scheme and characteristic-wise weighted essentially non-oscillatory (WENO) finite difference scheme (Hybrid) for the detonation waves simulations is investigated. The Hybrid scheme employs the nonlinear 5th-order WENO-Z scheme to capture high gradients and discontinuities in an essentially nonoscillatory manner and the linear 6th-order Compact scheme to resolve the fine scale structures in the smooth regions of the solution in an efficient and accurate manner. Numerical oscillations generated by the Compact scheme is mitigated by the high order filtering. The high order multi-resolution algorithm is employed to detect the smoothness of the solution. The Hybrid scheme allows a potential speedup up to a factor of three or more for certain classes of shocked problems. The simulations of one-dimensional shock-entropy wave interaction and classical stable detonation waves, and the two-dimensional detonation diffraction problem around a 90 degrees corner show that the Hybrid scheme is more efficient, less dispersive and less dissipative than the WENO-Z scheme.
引用
收藏
页码:179 / 187
页数:9
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