一种修正的Osher通量在高阶WCNS中的特性

doi:10.7527/S1000-6893.2016.0241

流体力学与飞行力学

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一种修正的Osher通量在高阶WCNS中的特性

朱华君¹, 燕振国¹, 刘化勇¹, 毛枚良^1,2

1. 中国空气动力研究与发展中心空气动力学国家重点实验室, 绵阳 621000;
2. 中国空气动力研究与发展中心计算空气动力研究所, 绵阳 621000

收稿日期:2016-06-17 修回日期:2016-08-25 出版日期:2017-05-15 发布日期:2016-09-26
通讯作者: 刘化勇 E-mail:hyliu@skla.cardc.cn
基金资助:
国家自然科学基金（11301525，11372342，11572342）

Properties of Osher flux with entropy fix in high-order WCNS

ZHU Huajun¹, YAN Zhenguo¹, LIU Huayong¹, MAO Meiliang^1,2

1. State Key Laboratory of Aerodynamics, China Aerodynamics Research and Development Center, Mianyang 621000, China;
2. China Computational Aerodynamics Institute, China Aerodynamics Research and Development Center, Mianyang 621000, China

Received:2016-06-17 Revised:2016-08-25 Online:2017-05-15 Published:2016-09-26
Supported by:
National Natural Science Foundation of China (11301525,11372342 and 11572342)

摘要/Abstract

摘要：

将一种基于多维修正的Osher通量运用于高阶加权紧致非线性格式（WCNS）中，该修正通量主要在垂直于激波面的界面上增加耗散，能够改善Osher通量的激波捕捉稳定性，同时对边界层和接触间断的分辨率影响非常小。对修正的Osher通量在高阶WCNS中的特性进行研究，通过数值模拟测试了基于Osher通量的WCNS的激波稳定性、热流预测精度、边界层模拟能力、激波边界层干扰模拟能力，并与Steger-Warming通量和Roe通量进行了对比。结果表明修正后的Osher通量比Harten修正的Roe通量具有更好的激波捕捉鲁棒性，而边界层、驻点热流值和激波边界层干扰的模拟则明显优于Steger-Warming通量。上述结果说明了基于修正的Osher通量的高阶WCNS具有较好的激波捕捉特性、热流预测精度和边界层计算能力。

关键词: 通量, 高阶WCNS, 激波稳定性, 热流计算, 边界层计算

Abstract:

Osher flux with a multi-dimensional entropy fix is applied for high order weighted compact nonlinear scheme (WCNS). The entropy fix technique is used to mainly improve the dissipation on the interfaces perpendicular to the shock wave, and can thus improve shock wave stability and may not influence contact resolution. The properties of the Osher flux in high order WCNS schemes are studied. Numerical investigations are made to test properties of shock wave stability, accuracy of viscous heating computation, and boundary layer and shock boundary layer interaction calculation abilities. Comparisons with Steger-Warming flux and Roe flux are also made. Numerical results show that the Osher flux with entropy fix is more robust than Roe flux with Harten fix in shock capturing, and is better in viscous heating computation than Steger-Warming flux. These results illustrate that high order WCNS based on Osher flux with entropy fix is robust in caputuring shock waves, can get accurate heat flow prediction and has good simulation of the boundary layer.

Key words: flux, high order WCNS, shock wave stability, heat flow computation, boundary layer calculation

中图分类号:

V211
O355

朱华君, 燕振国, 刘化勇, 毛枚良. 一种修正的Osher通量在高阶WCNS中的特性[J]. 航空学报, 2017, 38(5): 120543-120543.

ZHU Huajun, YAN Zhenguo, LIU Huayong, MAO Meiliang. Properties of Osher flux with entropy fix in high-order WCNS[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(5): 120543-120543.

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一种修正的Osher通量在高阶WCNS中的特性

Properties of Osher flux with entropy fix in high-order WCNS

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