新型紧致WENO5格式  

A New Compact WENO5 Scheme

作　　者：孙阳 李兴华 艾晓辉[2] SUN Yang;LI Xing-hua;AI Xiao-hui(School of Sciences, Harbin University of Science and Technology, Harbin 150080, China;School of Science, Northeast Forestry University, Harbin 150040, China)

机构地区：[1]哈尔滨理工大学理学院,哈尔滨150080 [2]东北林业大学理学院,哈尔滨150040

出　　处：《哈尔滨理工大学学报》2020年第1期154-158,共5页Journal of Harbin University of Science and Technology

基　　金：黑龙江省教育厅科学技术研究项目(12541159)。

摘　　要：随着科学研究的不断深入,目前已有的计算格式仍未能满足人们对流体力学数值模拟研究的高精度、高分辨率、高效率及较强稳定性的要求。针对紧致型WENO格式的计算精度、计算效率及稳定性等性能进行了考察,构造了新型的紧致型WENO格式。数值实验表明:新型紧致WENO格式在保持原紧致WENO格式分辨率的前提下,计算速度有明显提高,计算时间显著减少。因此,研究可以说是对高精度数值方法研究方面的有益补充和探索。With the continuous deepening of scientific research,the current calculation schemes is still unable to meet the requirements of high accuracy,high resolution,high efficiency and high stability for numerical simulation of fluid mechanics.In this paper,we investigated the performance of computational accuracy,computational efficiency and stability of compact WENO scheme,and constructed a new compact WENO scheme.The numerical experiment results show that the new compact WENO scheme can improve the calculation speed obviously and reduce the calculation time significantly on the premise of maintaining the resolution of the original compact WENO scheme.Therefore,this study can be regarded as a useful supplement and exploration for the research of high accuracy numerical methods.

关 键 词：高精度 紧致型WENO 守恒律方程 时间离散 有限差分法 

分 类 号：O24[理学—计算数学]