应用数学和力学2025，Vol.46Issue(4)：528-541,14.DOI:10.21656/1000-0887.450091
低耗散五阶熵稳定格式
Low-Dissipation 5th-Order Entropy Stable Schemes
摘要
Abstract
The existence of intermittent solutions to hyperbolic conservation law equations requires high accu-racy and resolution of the numerical solution schemes.The entropy stable schemes constructed by Tadmor et al.has numerical solutions that converge to physically meaningful unique solutions,but with severe dissipation large smearing effects and only 1st-order spatial accuracy.Therefore,the TENO(targeted essentially non-oscil-latory)reconstruction with low numerical dissipation was introduced into the TeCNO framework,and a low-dissipation 5th-order TENO-type entropy stable scheme was constructed.It was proved that the jumps of the re-constructed entropy variables at the cell interfaces satisfy the sign-preserving property and the entropy stability of the constructed schemes.Finally,the low numerical dissipation,high convergence order,high resolution and good numerical robustness of the 5th-order TENO-type entropy stable scheme,were verified through vari-ous numerical examples.关键词
熵稳定/TENO重构/双曲守恒律方程/保号性/TeCNO格式Key words
entropy stability/TENO reconstruction/hyperbolic conservation law/sign-preserving property/TeCNO scheme分类
数学引用本文复制引用
刘佳豪,郑素佩,陈梦莹,郭依琳..低耗散五阶熵稳定格式[J].应用数学和力学,2025,46(4):528-541,14.基金项目
国家自然科学基金(11971075) （11971075）
陕西省自然科学基础研究计划(2024JC-ZDXM-23) （2024JC-ZDXM-23）
