[1]李兴华,孙阳,艾晓辉. 双曲守恒律方程的Lax-Wendroff时间离散WENO 格式[J].哈尔滨理工大学学报,2017,(06):134-139.[doi:10. 15938 /j. jhust. 2017. 06. 026]
 LI Xing-hua,SUN Yang,AI Xiao-hui. WENO Scheme Based on Lax-Wendroff Time Discretizationto Solving Hyperbolic Conservation Laws[J].哈尔滨理工大学学报,2017,(06):134-139.[doi:10. 15938 /j. jhust. 2017. 06. 026]
点击复制

 双曲守恒律方程的Lax-Wendroff
时间离散WENO 格式
()
分享到:

《哈尔滨理工大学学报》[ISSN:1007-2683/CN:23-1404/N]

卷:
期数:
2017年06期
页码:
134-139
栏目:
材料科学与工程
出版日期:
2017-12-25

文章信息/Info

Title:
 WENO Scheme Based on Lax-Wendroff Time Discretization
to Solving Hyperbolic Conservation Laws
文章编号:
1007- 2683( 2017) 06- 0134- 06
作者:
 李兴华1 孙阳1 艾晓辉2
 ( 1. 哈尔滨理工大学理学院,黑龙江哈尔滨150080; 2. 东北林业大学理学院,黑龙江哈尔滨150040)
Author(s):
 LI Xing-hua1SUN Yang1AI Xiao-hui2
 1 School of Science,Harbin University of Science and Technology,Harbin 150080,China;
2 School of Science,Northeast Forestry University,Harbin 150040,China)
关键词:
 高精度 WENO Runge-Kutta Lax-Wendroff 时间离散
Keywords:
 high accuracy WENO Runge-Kutta Lax-Wendroff time discretization
分类号:
O175
DOI:
10. 15938 /j. jhust. 2017. 06. 026
文献标志码:
A
摘要:
 双曲守恒型方程的高精度、高分辨率计算格式的研究一直是计算流体力学的热点问
题。针对原WENO-JS 格式分辨率较低和计算量偏大的不足问题,提出利用简单的重构数值通量的
方法以提高计算效率,构造了新的简单限制器的5 阶迎风型WENO 格式。通过MATLAB 软件的仿
真对Lax-Wendroff WENO-JS 格式、Lax-Wendroff 简单限制器WENO 格式、Runge-Kutta WENO-JS 格
式、Runge-Kutta 简单限制器的WENO 格式的实验结果进行了分析,并比较了这四种计算格式的计
算效率和计算精度。数值实验表明: 新格式Lax-Wendroff 简单限制器WENO 格式在保持原WENO
分辨率的前提下,计算速度有明显提高,减少了20%的计算时间。
Abstract:
 The research of high accuracy and high resolution schemes have been a hot topic in computational
mathematics. According to low resolution and large amount of calculation of the original WENO-JS scheme,we
propose a simple new limiter fifth order upwind WENO scheme to reconstruct the numerical flux of the simple
structure to improve the computational efficiency. Compared with other efficient high accuracy schemes such as
ENO and WENO,it is shown that the computational cost of this scheme is less than that of WENO-JS in the same
accuracy. By use of MATLAB software,we compared and analyzed computational efficiencies and computational
accuracies of Lax-Wendroff WENO-JS scheme,Lax-Wendroff simple limiter WENO scheme,Runge-Kutta simple
limiter WENO scheme and Runge-Kutta WENO-JS scheme. The numerical results show that the new Lax-Wendroff
simple limiter WENO scheme can improve the computing speed and reduce the computing time by 20% while
maintaining the original WENO resolution

相似文献/References:

[1]孙永全,郭建英,陈洪科,等.AMSAA模型可靠性增长预测方法的改进[J].哈尔滨理工大学学报,2010,(05):49.
 SUN Yong-quan,GUO Jian-ying,CHEN Hong-ke,et al.An Improved Reliability Growth Prediction Algorithm Based on AMSAA Model[J].哈尔滨理工大学学报,2010,(06):49.
[2]滕志军,李晓霞,郑权龙,等.矿井巷道的MIMO信道几何模型及其信道容量分析[J].哈尔滨理工大学学报,2012,(02):14.
 TENG Zhi-jun,LI Xiao-xia,ZHENG Quan-long.Geometric Model for Mine MIMO Channels and Its Capacity Analysis[J].哈尔滨理工大学学报,2012,(06):14.
[3]李艳苹,张礼勇.新训练序列下的改进OFDM符号定时算法[J].哈尔滨理工大学学报,2012,(02):19.
 LI Yan-ping,ZHANG Li-yong.An Improved Algorithm of OFDM Symbol Timing Based on A New Training Sequence[J].哈尔滨理工大学学报,2012,(06):19.
[4]赵彦玲,车春雨,铉佳平,等.钢球全表面螺旋线展开机构运动特性分析[J].哈尔滨理工大学学报,2013,(01):37.
 ZHAO Yan-ling,CHE Chun-yu,XUAN Jia-ping,et al.[J].哈尔滨理工大学学报,2013,(06):37.
[5]李冬梅,卢旸,刘伟华,等.一类具有连续接种的自治SEIR传染病模型[J].哈尔滨理工大学学报,2013,(01):73.
 LI Dong-mei,LU Yang,LIU Wei-hua.[J].哈尔滨理工大学学报,2013,(06):73.
[6]华秀英,刘文德.奇Hamiltonian李超代数偶部的非负Z-齐次导子空间[J].哈尔滨理工大学学报,2013,(01):76.
 HUA Xiu-ying,LIU Wen-de.[J].哈尔滨理工大学学报,2013,(06):76.
[7]桂存兵,刘洋,何业军,等.基于LCC谐振电路阻抗匹配的光伏发电最大功率点跟踪[J].哈尔滨理工大学学报,2013,(01):90.
 GUI Cun-bing,LIU Yong,HE Ye-jun.[J].哈尔滨理工大学学报,2013,(06):90.
[8]翁凌,闫利文,夏乾善,等.PI/TiC@Al2O3复合薄膜的制备及其电性能研究[J].哈尔滨理工大学学报,2013,(02):25.
 WENG Ling,YAN Li-wen,XIA Qian-shan.[J].哈尔滨理工大学学报,2013,(06):25.
[9]姜彬,林爱琴,王松涛,等.高速铣刀安全性设计理论与方法[J].哈尔滨理工大学学报,2013,(02):63.
 JIANG Bin,LIN Ai-qin,WANG Song-tao,et al.[J].哈尔滨理工大学学报,2013,(06):63.
[10]李星纬,李晓东,张颖彧,等.EVOH 磺酸锂电池隔膜的制备及微观形貌[J].哈尔滨理工大学学报,2013,(05):18.
 LI Xing- wei,LI Xiao- dong,ZHANG Ying- yu,et al.The Preparation and Microcosmic Morphology oEVOH- SO Li Lithium Ion Battery Septum[J].哈尔滨理工大学学报,2013,(06):18.

更新日期/Last Update: 2018-03-10