| 一种求解Euler方程的高阶格式 |
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| 引用本文： | 任琴琴,郑秋亚,梁益华.一种求解Euler方程的高阶格式[J].吉林大学学报(理学版),2021,58(6):1371-1377. |
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| 作者姓名： | 任琴琴 郑秋亚 梁益华 |
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| 作者单位： | 1. 长安大学 理学院, 西安 710064； 2. 中国航空计算技术研究所 航空气动力数值模拟重点实验室, 西安 710068 |
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| 摘 要： | 将总能对流迎风和分压(E-CUSP)格式与WENO-η-格式耦合给出一种新格式（记为E-CUSP-WENO-η）, 解决了一维激波管问题. 数值模拟结果表明: 新格式对接触间断和激波的捕捉更精确, 其中带有高阶最优全局光滑因子的新格式（E-CUSP-WENO-η(τopt7)）数值耗散最小; 耦合的新格式可以更陡峭地捕捉到激波, 且计算结果精度高, 稳定性好.
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| 关 键 词： | Euler方程 计算流体力学 总能对流迎风和分压格式 加权本质无振荡格式 光滑因子 |
A Higher Order Scheme for Solving Euler Equations |
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| REN Qinqin,ZHENG Qiuya,LIANG Yihua.A Higher Order Scheme for Solving Euler Equations[J].Journal of Jilin University: Sci Ed,2021,58(6):1371-1377. |
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| Authors: | REN Qinqin ZHENG Qiuya LIANG Yihua |
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| Institution: | 1. School of Science, Chang’an University, Xi’an 710064, China;
2. Aeronautical Laboratory of Computational Fluid Dynamics, Aeronautics Computing Technique Research Institute, Xi’an 710068, China |
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| Abstract: | By coupling the total energy convective upwind and split pressure (E-CUSP) scheme with the WENO-η scheme, we gave a new scheme (E-CUSP-WENO-η） to solve the one-dimensional shock tube problem. The numerical simulation results show that the new scheme is more accurate in capturing contact discontinuities and shock waves, among which the new scheme (E-CUSP-WENO-η(τopt7)) with higher order optimal global smoothness factor has the least numerical dissipation. The coupled new scheme can capture shock wave more steeply, and the calculation results are accurate and stable. |
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| Keywords: | Euler equation computational fluid dynamics total energy convective upwind and split pressure schemes weighted essentially non-oscillatory schemes smoothness factor |
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