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