| 求解二维Euler方程的旋转通量混合格式 |
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| 引用本文： | 贾豆,郑素佩.求解二维Euler方程的旋转通量混合格式[J].应用数学和力学,2021,42(2):170-179. |
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| 作者姓名： | 贾豆 郑素佩 |
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| 作者单位： | 长安大学 理学院, 西安 710064 |
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| 基金项目： | 国家自然科学基金（11971075；11401045；11901051） |
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| 摘 要： | 为提高求解二维Euler方程数值结果的分辨率，提出了一种旋转通量混合格式.该算法采用旋转通量法的类一维处理思想，通量函数选用满足热力学第二定律的熵稳定数值通量和具有良好鲁棒性的HLL数值通量耦合的混合格式，时间方向采用三阶强稳定Runge-Kutta方法进行推进.该旋转通量混合格式具有结构简单、分辨率高的优点，数值结果表明了该算法的良好特性.
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| 关 键 词： | 旋转不变性 熵稳定格式 HLL格式 Euler方程 |
| 收稿时间： | 2020-07-19 |
A Hybrid Scheme of Rotational Flux for Solving 2D Euler Equations |
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| Affiliation: | School of Sciences, Chang’an University, Xi’an 710064, P.R.China |
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| Abstract: | To improve the resolution of the numerical results for the 2D Euler equations, a hybrid scheme of rotational flux was proposed. The algorithm was built under the quasi-1D idea of the rotational flux method, and the flux function was given in the form of a hybrid scheme coupling the entropy stable numerical flux satisfying the 2nd law of thermodynamics with the HLL numerical flux of good robustness. The time was advanced with the 3rd-order strongly stable Runge-Kutta method. The hybrid scheme of rotational flux has the advantages of simple structure and high resolution. Numerical results show good characteristics of the algorithm. |
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