北京航空航天大学学报 ›› 2017, Vol. 43 ›› Issue (4): 800-805.doi: 10.13700/j.bh.1001-5965.2016.0266

• 论文 • 上一篇    下一篇

新型三阶TVD限制器性能分析

赵雅甜1, 阎超1, 孙迪1, 屈峰2   

  1. 1. 北京航空航天大学 航空科学与工程学院, 北京 100083;
    2. 中国空间技术研究院 载人航天总体部, 北京 100094
  • 收稿日期:2016-04-06 出版日期:2017-04-20 发布日期:2016-10-28
  • 通讯作者: 阎超,E-mail:yanchao@buaa.edu.cn E-mail:yanchao@buaa.edu.cn
  • 作者简介:赵雅甜 女,硕士研究生。主要研究方向:计算空气动力学。;阎超 男,博士,教授,博士生导师。主要研究方向:计算空气动力学。
  • 基金资助:
    国家自然科学基金(11402016)

Performance analysis of a new-type third-order TVD limiter

ZHAO Yatian1, YAN Chao1, SUN Di1, QU Feng2   

  1. 1. School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China;
    2. General Department of Manned Spacecraft, China Academy of Space Technology, Beijing 100094, China
  • Received:2016-04-06 Online:2017-04-20 Published:2016-10-28

摘要: 在计算流体力学(CFD)方法中,限制技术是影响计算精度和计算稳定性的重要因素,目前应用较广的经典二阶总变差衰减(TVD)限制器虽能较好地满足计算要求,但性能差异大且分辨率和耗散的性能间并未得到良好权衡。对一种新型的三阶TVD插值限制器(T-3限制器)进行了研究并将其与3种经典限制器进行对比。首先通过一维黎曼问题,得出T-3限制器兼顾较高间断分辨率和良好稳定性的特点;接着通过高超声速双锥绕流和X-33外形飞行器的数值实验,得到T-3限制器具有刻画复杂流动的能力以及较优的气动热计算性能。

关键词: 限制器, 计算流体力学(CFD), 激波, 双锥绕流, 气动热

Abstract: For numerical scheme in computational fluid dynamics (CFD), limiter technology is an important factor affecting computational accuracy and stability. Although the present classical second-order total variation diminishing (TVD) limiters with a wide application can well satisfy the computing requirements, its performance not only largely differs but also cannot be properly weighted between resolution and dissipation. Therefore, a new third-order TVD interpolation limiter (T-3 limiter) has been studied and compared with three classical limiters. First, through one-dimensional Riemann problem, it has been found that T-3 limiter is simultaneously characterized by both high intermittent resolution and excellent stability; then, by numerical simulation of hypersonic flow over a double-cone body and X-33 configuration, it has been found that T-3 limiter boasts the capability of portraying complex flow and good aerothermodynamic calculation performance.

Key words: limiter, computational fluid dynamics (CFD), shocks, double-cone disturbance flow, aerothermodynamic

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