求解双曲守恒律方程的高阶WENO型熵相容格式的对比研究  

Comparison of High-order WENO-type Entropy-consistent Schemes for Hyperbolic Conservation Laws

作　　者：魏伟平 尚有林 孙广磊[3] WEI Weiping;SHANG Youlin;SUN Guanglei(College of Information Engineering,Henan University of Science and Technology,Luoyang 471023,China;School of Mathematical Sciences,Henan Institute of Science and Technology,Xinxiang 453003,China;School of Mathematics and Statistics,Henan University of Science and Technology,Luoyang 471023,China)

机构地区：[1]河南科技大学信息工程学院,河南洛阳471023 [2]河南科技学院数学科学学院,河南新乡453000 [3]河南科技大学数学与统计学院,河南洛阳471023

出　　处：《应用数学》2024年第3期856-867,共12页Mathematica Applicata

基　　金：the National Natural Science Foundation of China(12071112)and(11471102);the Basic Research Projects for Key Scientific Research Projects in Henan Province(20ZX001);the Research and Practice Project on Education and Teaching Reform in Henan Institute of Science and Technology(2021YB45)。

摘　　要：本文采用五阶WENO重构方法,结合熵相容格式,得到求解双曲守恒律方程的高阶WENO型熵相容格式.数值实验证明了所得格式的鲁棒性.In this paper,the high-order WENO-type entropy-consistent schemes for solving hyperbolic conservation law equations are obtained by using the 5-order WENO reconstruction methods combined with the entropy-consistent schemes.Numerical experiments demonstrate the robustness of the obtained schemes.

关 键 词：WENO重构 双曲守恒律 WENO型熵相容格式 

分 类 号：O2418.2[理学—计算数学]