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题名Positivity-Preserving High Order Finite Volume HWENO Schemes for Compressible Euler Equations
作者
发表日期2016-08-01
发表期刊Journal of Scientific Computing
ISSN/eISSN0885-7474
卷号68期号:2页码:464-483
摘要

In this paper, we present a positivity-preserving high order finite volume Hermite weighted essentially non-oscillatory (HWENO) scheme for compressible Euler equations based on the framework for constructing uniformly high order accurate positivity-preserving discontinuous Galerkin and finite volume schemes for Euler equations proposed in Zhang and Shu (J Comput Phys 230:1238–1248, 2011). The major advantages of the HWENO schemes is their compactness in the spacial field because the function and its first derivative are evolved in time and used in the reconstructions. On the other hand, the HWENO reconstruction tends to be more oscillatory than those of conventional WENO schemes. Thus positivity preserving techniques are more needed in HWENO schemes for the sake of stability. Numerical tests will be shown to demonstrate the robustness and high-resolution of the schemes.

关键词Compressible Euler equations Finite volume scheme Hermite weighted essentially non-oscillatory scheme High order accuracy Positivity preserving
DOI10.1007/s10915-015-0147-8
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收录类别SCIE
语种英语English
WOS研究方向Mathematics
WOS类目Mathematics, Applied
WOS记录号WOS:000379329500003
Scopus入藏号2-s2.0-84949647118
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被引频次:32[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符https://repository.uic.edu.cn/handle/39GCC9TT/8997
专题个人在本单位外知识产出
通讯作者Qiu, Jianxian
作者单位
1.School of Mathematical Sciences,Xiamen University,Xiamen,361005,China
2.Department of Mathematics,Purdue University,West Lafayette,47907-2067,United States
3.School of Mathematical Sciences and Fujian Provincial Key Laboratory of Mathematical Modeling and High-Performance Scientific Computing,Xiamen University,Xiamen,361005,China
推荐引用方式
GB/T 7714
Cai, Xiaofeng,Zhang, Xiangxiong,Qiu, Jianxian. Positivity-Preserving High Order Finite Volume HWENO Schemes for Compressible Euler Equations[J]. Journal of Scientific Computing, 2016, 68(2): 464-483.
APA Cai, Xiaofeng, Zhang, Xiangxiong, & Qiu, Jianxian. (2016). Positivity-Preserving High Order Finite Volume HWENO Schemes for Compressible Euler Equations. Journal of Scientific Computing, 68(2), 464-483.
MLA Cai, Xiaofeng,et al."Positivity-Preserving High Order Finite Volume HWENO Schemes for Compressible Euler Equations". Journal of Scientific Computing 68.2(2016): 464-483.
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