任意阶保号熵稳定格式  

ARBITRARY HIGH-ORDER SIGN PRESERVING ENTROPY STABLE SCHEMES

作　　者：徐霞 李彬彬 李琦 郑素佩[1] Xu Xia;Li Binbin;Li Qi;Zheng Supei(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：《高等学校计算数学学报》2024年第1期65-82,共18页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家自然科学基金(11971075);陕西省自然科学基金(2024JC-ZDXM-23)。

摘　　要：1引言随着计算机技术和数值计算方法的迅猛发展,双曲守恒律方程广泛应用于航天航空、气动声学、交通建模和多维流体流动问题中.本文考虑二维双曲守恒律方程.In this paper,an arbitrary high-order sign preserving entropy stable scheme is constructed for solving two-dimensional hyperbolic conservation laws.It is based on the TECNO framework,Fjordholm's 2pth-order accurate entropy conservative schemes with sign preserving compact CWENO reconstruction for the entropy variable.It is proved that the entropy variable based on the reconstruction satisfies the sign preserving property at the jump discontinuity.Numerical results show that the scheme has high resolution,good discontinuity capturing ability and robustness.

关 键 词：双曲守恒律方程 气动声学 计算机技术 流体流动 熵稳定格式 交通建模 任意阶 数值计算方法 

分 类 号：O354[理学—流体力学] O241.82[理学—力学]