高阶保号熵稳定格式  

High Order Sign Preserving Ent ropy St able Schemes

作　　者：郑素佩[1] 徐霞 封建湖[1] 贾豆 Zheng Supei;Xu Xia;Feng Jianhu;Jia Dou(College of Science,Chang'an University,Xi'an 710064)

机构地区：[1]长安大学理学院,西安710064

出　　处：《数学物理学报（A辑）》2021年第5期1296-1310,共15页Acta Mathematica Scientia

基　　金：国家自然科学基金(11971075);陕西省自然科学基金(2020JQ-338,2019JM-243)。

摘　　要：高阶熵稳定格式构造的一个核心任务是如何保证熵变量在进行高阶重构前后的符号不变.该文构造了高阶保号熵稳定格式(熵守恒通量采用Fjordholm方案,耗散部分的熵变量采用三阶紧致CWENO重构),证明了基于该重构的熵变量在跳跃间断处满足保号性.数值结果表明,该格式达到三阶精度、分辨率高、鲁棒性强且无振荡产生.Ensuring the sign preserving on entropy variable after the high-order reconstruction is fundamental in constructing the high-order entropy stable schemes.In this paper,we construct the 3rd order compact CWENO-type entropy stable schemes(Fjordholm's the 3rd order entropy conservative schemes with sign preserving compact CWENO reconstruction for the entropy variable)and prove the sign preserving on entropy variable with the 3rd order compact CWENO reconstruction.Numerical results show that the schemes can achieve third-order accuracy,and have high resolution,robustness and non-oscillation.

关 键 词：保号性 紧致CWENO重构 熵稳定格式 

分 类 号：O354[理学—流体力学] O241.82[理学—力学]