Basic Function Scheme of Polynomial Type

WU Wang-yi; LIN Guang

doi:10.3879/j.issn.1000-0887.2009.09.003

Volume 30 Issue 9

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WU Wang-yi, LIN Guang. Basic Function Scheme of Polynomial Type[J]. Applied Mathematics and Mechanics, 2009, 30(9): 1021-1032. doi: 10.3879/j.issn.1000-0887.2009.09.003

Citation:

WU Wang-yi, LIN Guang. Basic Function Scheme of Polynomial Type[J]. Applied Mathematics and Mechanics, 2009, 30(9): 1021-1032. doi: 10.3879/j.issn.1000-0887.2009.09.003

Citation:

WU Wang-yi, LIN Guang. Basic Function Scheme of Polynomial Type[J]. Applied Mathematics and Mechanics, 2009, 30(9): 1021-1032. doi: 10.3879/j.issn.1000-0887.2009.09.003

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Basic Function Scheme of Polynomial Type

doi: 10.3879/j.issn.1000-0887.2009.09.003

State Key Laboratory for Turbulence and Complex System, Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, P. R. China

Received Date: 2009-04-14
Rev Recd Date: 2009-07-30
Publish Date: 2009-09-15

Abstract

Abstract

A new numerical method-Basic Function Method was proposed.This method could directly discrete differential operator on unstructured grids.By using the expansion of basic function to approach the exact function,the central and upwind schemes of derivative were constructed.By using the second-order polynomial as basic function and applying the technique of flux splitting method and the combination of central and upwind schemes to suppress the non-physical fluctuation near the shock wave,the second-order basic function scheme of polynomial type for solving inviscid compressible flow numerically was constructed.Several numerical results of many typical examples for two dimensional inviscid compressible transonic and supersonic steady flow illustrate that it is a new scheme with high accuracy and high resolution for shock wave.Especially,combined with the adaptive remeshing technique,the satisfactory results can be obtained by these schemes.
- basic function scheme of polynomial type,
- new numerical method,
- unstructured grid

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References(8)

References

[1]	张涵信.无波动、无自由参数的耗散差分格式[J].空气动力学学报,1988,6（2）:143-165.
[2]	吴望一,蔡庆东.非结构网格上一种新型的高分辨率高精度无波动的有限元格式[J].中国科学（A辑）,1998,28（7）:633-643 .
[3]	Peraire J,Vahdati M,Morgan K,et al.Adaptive remeshing for compressible flow computations[J].Journal of Computational Physics,1987,72(2):449-466. doi: 10.1016/0021-9991(87)90093-3
[4]	谢文俊.基函数法在三维无粘可压缩流动中的研究与应用以及三维非结构网格的生成及自适应技术研究[D].硕士研究生学位论文.北京：北京大学，2002.
[5]	Zeeuw D D,Powell K G.An adaptively refined cartesian mesh solver for the Euler equations[J].Journal of Computational Physics,1993,104(1):56-68. doi: 10.1006/jcph.1993.1007
[6]	Yee H C,Harten A.Implicit TVD scheme for hyperbolic conservation laws in curvilinear coordinates[J].AIAAJ,1987,25(2):266-274. doi: 10.2514/3.9617
[7]	Hwang C J, Wu S J. Adaptive finite upwind approach on mixed quadrilateral-triangular meshes[J]. AIAAJ,1993,31(1):61-67. doi: 10.2514/3.11319
[8]	Lyubimov A N,Rusanov V V.Gas flow past blunt bodies[R]. NASA-TT-F715,1973.