适用于超声速流场计算的有限体积紧致算法

朱志斌; 袁湘江; 陈林

doi:10.13224/j.cnki.jasp.2015.10.022

适用于超声速流场计算的有限体积紧致算法

doi: 10.13224/j.cnki.jasp.2015.10.022

中国航天空气动力技术研究院空气动力理论与应用研究所, 北京 100074

详细信息

作者简介:
朱志斌(1987-),男,山西太原人,助理工程师,硕士,主要从事计算流体力学研究.E-mail:zhuzhb@sina.cn

中图分类号: V211.3
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- 被引次数: 0
出版历程
- 收稿日期: 2014-03-26
- 刊出日期: 2015-10-28

Finite volume compact algorithm suited to computation of supersonic flow field

School of Aerodynamic Theory and Application, China Academy of Aerospace Aerodynamics, Beijing 100074, China

摘要

摘要: 结合紧致格式与有限体积法两者的优点,提出了一种基于有限体积的紧致算法.采用特征处理的通量限制方法抑制紧致格式在间断附近的非物理振荡,将该算法应用于航天领域超声速流场的数值模拟.通过计算典型算例,并与其他格式计算结果进行对比,证明了该算法能够无振荡捕捉各种间断,且对波系结构的刻画最为锐利,并能够精细分辨小尺度流场结构,计算结果与精确解最为接近.
- 超声速流动 /
- 有限体积法 /
- 紧致格式 /
- 高精度 /
- 高分辨率 /
- 非物理振荡
Abstract: In order to combine the advantages, a compact scheme based on finite volume method was developed. A characteristic limiter was used to prevent non-physical oscillations across discontinuity, so the scheme was suited to simulate supersonic flows in aerospace flight. The performance of the scheme was assessed by computing several typical problems. Numerical results reveal that the present scheme can capture discontinuities with few oscillations and simulate various waves sharplybesides, the scheme is able to distinguish small-scale flow structures clearly, and the results solved by the scheme are highly consistent with exact solutions.
- supersonic flow /
- finite volume method /
- compact schemes /
- high-order accuracy /
- high resolution ratio /
- non-physical oscillations

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参考文献(18)

[1]	Harten A,Engquist B,Osher S,et al.Uniformly high order accurate essentially non-oscillatory schemes[J].Journal of Computational Physics,1986,71(2):231-303.
[2]	Shu C W,Osher S.Efficient implementation of essentially non-oscillatory shock-capturing schemes[J].Journal of Computational Physics,1988,77(2):439-471.
[3]	Lele S K.Compact finite difference schemes with spectral-like resolution[J].Journal of Computational Physics,1992,103(1):16-42.
[4]	Harten A.Nonoscillatory second-order accurate shock-capturing schemes[R].Paris,France:Methodes Numeriques De Lïngenieur,Comptes Rendus Du Troisieme Congress International,1983.
[5]	Harten A.High resolution schemes for hypersonic conservation laws[J].Journal of Computational Physics,1983,49(3):357-393.
[6]	Adams N A,Shariff K.A high-resolution hybrid compact-ENO scheme for shock-turbulence interaction problems[J].Journal of Computational Physics,1996,127(1):27-51.
[7]	Pirozzoli S.Conservative hybrid compact-WENO schemes for shock-turbulence interaction[J].Journal of Computational Physics,2002,178(1):81-117.
[8]	XIE Peng,LIU Chaoqun.Weighted compact and non-compact scheme for shock tube and shock entropy interaction[R].Reno,NV:45th AIAA Aerospace Sciences Meeting and Exhibit,2007.
[9]	任玉新,刘淼儿,张涵信.守恒型迎风紧致格式[R].河南洛阳:第十一届全国计算流体力学会议,2002.
[10]	Ravichandran K S.Higher order KFVS algorithms using compact upwind difference operators[J].Journal of Computational Physics,1997,130(2):161-173.
[11]	涂国华,袁湘江,夏治强,等.一类TVD型的迎风紧致差分格式[J].应用数学与力学,2006,27(6):675-682. TU Guohua,YUAN Xiangjiang,XIA Zhiqiang,et al.A class of compact upwind TVD difference schemes[J].Applied Mathematics and Mechanics,2006,27(6):675-682.(in Chinese)
[12]	袁湘江,涂国华,沈清,等.利用紧致格式捕捉间断的数值方法研究[J].空气动力学学报,2007,25(3):372-376. YUAN Xiangjiang,TU Guohua,SHEN Qing,et al.Investigation of numerical methods on the capturing discontinuity using compact schemes[J].Acta Aerodynamic Sinica,2007,25(3):372-376.(in Chinese)
[13]	涂国华.超声速边界层稳定性及其高阶激波捕捉格式研究[D].四川绵阳:中国空气动力研究与发展中心,2006. TU Guohua.Study of supersonic boundary layer stability and high order shock-capturing numerical schemes[D].Mianyang Sichuan:China Aerodynamics Research and Development Center,2006.(in Chinese)
[14]	袁湘江,涂国华,许坦,等.一种通量加权型紧致格式[J].航空动力学报,2008,23(1):64-69. YUAN Xiangjiang,TU Guohua,XU Tan,et al.A flux-weighted compact scheme[J].Journal of Aerospace Power,2008,23(1):64-69.(in Chinese)
[15]	沈孟育,张志斌,牛晓玲.满足抑制波动原则的五阶精度紧致格式[J].清华大学学报:自然科学版,2002,42(2):1511-1514. SHEN Mengyu,ZHANG Zhibin,NIU Xiaoling.Fifth-order accurate compact scheme that suppresses oscillations[J].Journal of Tsinghua University:Science and Technology,2002,42(2):1511-1514.(in Chinese)
[16]	陆志良.空气动力学[M].北京:北京航空航天大学出版社,2009.
[17]	周禹,阎超.Roe格式中不同类型熵修正性能分析[J].北京航空航天大学学报,2009,35(3):356-360. ZHOU Yu,YAN Chao.Entropy correction analyses for Roe scheme[J].Journal of Beijing University of Aeronautics and Astronautics,2009,35(3):356-360.(in Chinese)
[18]	Lyubimov A N,Rusanov V V.Gas flows past blunt bodies:Part Ⅱ tables of the gasdynamic functions[R].NASA TTF-715,1970.