Volume 23 Issue 1
Jan.  2008
Turn off MathJax
Article Contents
Article Navigation >  Journal of Aerospace Power  > 2008  >  23(1): 64-69
YUAN Xiang-jiang, TU Guo-hua, XU Tan, LU Li-peng. A flux-weighted compact scheme[J]. Journal of Aerospace Power, 2008, 23(1): 64-69.
Citation: YUAN Xiang-jiang, TU Guo-hua, XU Tan, LU Li-peng. A flux-weighted compact scheme[J]. Journal of Aerospace Power, 2008, 23(1): 64-69.
shu

A flux-weighted compact scheme

  • 1.

    China Aerodynamics Research and Development Center, Mianyang 621000, China

  • 2.

    National Computational Fluid Dynamics Laboratory, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

  • 3.

    School of Aeronautics Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

  • 4.

    School of Jet Propulsion, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

  • Received Date: 2006-12-27
  • Rev Recd Date: 2007-03-28
  • Publish Date: 2008-01-28
    Abstract
  • With introduction of flux-weighted concept into the compact scheme,a new flux-weighted compact scheme was presented by combining classical scheme and compact scheme.This scheme and a 2nd-order total variation diminishing(TVD) scheme were used to calculate one-dimensional square waves,combine waves and some Riemann problems,such as Sod problem and Shu problem,as well as one-dimensional steady shock.The results show that the new scheme has advantage over the 2nd-order TVDscheme in capturing various discontinuities or resolving various complex waves.The results solved by the new scheme are also highly consistent with exact solutions.

     

    • FullText(HTML)
  • loading
    • References(9)
  • [1]
    袁湘江,桂业伟.适于超音速流动的高精度高分辨度算法研究(阶段报告)[R].CARDC-20010015,2000.
    [2]
    Lele S K.Compact finite difference schemes with spectrailike resolution[J].J.Comput.Phys.,1992,103:16-42.
    [3]
    Harten A.High resolution schemes for conservation laws[J].J.Comp.Phys.,1983,49:357-393.
    [4]
    Harten A,Osher S.Uniformly high-order accurate non-oscillatory schemes I.[J].SIAM J.Numer.Anal.,1987,24:279-309.
    [5]
    傅德薰,马延文.群速度控制方法及三维平面混合流的数值模拟[C]//中国力学学会现代力学与科技进步学术大会论文集.北京:中国力学学会,1997:533-538.
    [6]
    袁湘江,周恒.高精度格式计算激波的新方法[J].应用力学与数学,2000,21(5):441-450.YUAN Xiangjiang,ZHOU Heng.Numerical schemes with high order of accuracy for the computation of shock waves[J].Applied Mathematics and Mechanics,2000,21(5):441-450.
    [7]
    Ravichandran K S.Higher order KFVS algorithms using compact upwind difference operators[J].J.Comp.Phys.,1983,49:357-393.
    [8]
    Liu X D,Osher S,Chen T.Weighted essentially non-oscillatory schemes[J].J.Comp.Phys.,1994,115:200-212.
    [9]
    周恒,袁湘江.关于NND格式的两点注记[J].空气动力学学报,2000,18(1):52-54.ZHOU Heng,YUAN Xiangjiang.Notes on the NND scheme[J].ACTA Aerodynamics Sinica,2000,18(1):52-54.
    • Relative Articles
    • Supplements(0)
    • Cited By
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索
    Get Citation
    PDF(619.0KB)
    XML

    Article Metrics

    Article views (1573) PDF downloads(416) Cited by()
    Proportional views
    Related

    Copyright © 《Journal of Aerospace Power》 All Rights Reserved.

    Supported by: Beijing Renhe Information Technology Co., Ltd.  

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return