全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

三阶中心无振荡格式性能分析

DOI: 10.13700/j.bh.1001-5965.2013.0734, PP. 1576-1580

Keywords: 高精度格式,WENO格式,间断分辨率,稳定性,数值耗散性

Full-Text   Cite this paper   Add to My Lib

Abstract:

三阶中心无振荡格式Cn3(Centerednonoscillatoryschemeofthirdorder)使用对称模板构造具有三阶精度的插值公式.利用单调区域与精确区域修正原始插值参数,该格式能够获得间断附近无振荡、光滑区域高精度的计算结果.通过一维和二维典型算例,将Cn3格式与三阶和五阶WENO格式(WeightedEssentiallyNon-Oscillatoryschemes)进行比较,重点分析了3种格式的间断分辨率、计算稳定性和数值耗散性.分析可见,Cn3格式能够精确、稳定地捕捉激波和接触间断,同时对光滑流动区域的小尺度流动结构保持较低的耗散,值得进一步研究及推广应用.

References

[1]  Shu C W,Osher S.Efficient implementation of essentially non-oscillatory shock-capturing schemes[J].Journal of Computational Physics,1988,77(2):439-471
[2]  Osher S,Shu C.Efficient implementation of essentially non-oscillatory shock-capturing schemes,II[J].Journal of Computational Physics,1989,83(1):32-78
[3]  Liu X D,Osher S,Chan T.Weighted essentially non-oscillatory schemes[J].Journal of Computational Physics,1994,115(1):200-212
[4]  Jiang G S,Shu C W.Efficient implementation of weighted ENO schemes[J].Journal of Computational Physics,1996,126(1):202-228
[5]  Shu C W.High order weighted essentially nonoscillatory schemes for convection dominated problems[J].SIAM Review,2009,51(1):82-126
[6]  Ivan L,Groth C P T.High-order solution-adaptive central essentially non-oscillatory (CENO) method for viscous flows[J].AIAA Paper,2011:2011-367
[7]  Huynh H T.Accurate upwind schemes for the Euler equations[C]//12th Computational Fluid Dynamics Conference.San Diego,CA:AIAA,1995:1022-1039
[8]  Suresh A.Centered nonoscillatory schemes of third order[C]//12th Computational Fluid Dynamics Conference.San Diego,CA:AIAA,1995:1292-1305
[9]  Suresh A,Huynh H T.Accurate monotonicity-preserving schemes with Runge-Kutta time stepping[J].Journal of Computational Physics,1997,136(1):83-99
[10]  Sod G A.A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws[J].Journal of Computational Physics,1978,27(1):1-31
[11]  Nichols R H,Tramel R W,Buning P G.Evaluation of two high-order weighted essentially nonoscillatory schemes[J].AIAA Journal,2008,46(12):3090-3102
[12]  Woodward P,Colella P.The numerical simulation of two-dimensional fluid flow with strong shocks[J].Journal of Computational Physics,1984,54(1):115-173
[13]  Kroll N.ADIGMA-A European project on the development of adaptive higher-order variational methods for aerospace applications[C]//47th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition.Reston,VA:AIAA,2009
[14]  阎超,于剑,徐晶磊,等.CFD模拟方法的发展成就与展望[J].力学进展,2011,41(5):562-589 Yan Chao,Yu Jian,Xu Jinglei,et al.On the achievements and prospects of the methods for computational fluid dynamics[J].Advances in Mechanics,2011,41(5):562-589(in Chinese)
[15]  Harten A,Engquist B,Osher S,et al.Uniformly high order accurate essentially non-oscillatory schemes,III[J].Journal of Computational Physics,1987,71(2):231-303

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133