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AUFS格式在无网格方法中的应用

DOI: 10.6052/1000-0879-13-260

Keywords: 无网格,Euler方程,AUFS(artificially,upstream,flux,vector,splitting)格式

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Abstract:

将计算量小,激波分辨率高的AUFS(artificiallyupstreamfluxvectorsplitting)格式应用于无网格方法.所发展算法基于多项式基函数最小二乘无网格方法,采用线性基函数曲面拟合及AUFS格式计算各离散点的空间导数,应用四阶Runge-Kutta法进行时间显式推进.为验证算法健壮性、精度以及计算效率,对Riemann问题、超音速平面流动,以及不同攻角NACA0012翼型跨音速流场进行了数值模拟,其结果同采用HLLC(Harten-Lax-vanLeer-contact)格式的无网格方法以及文献报道结果吻合较好,并且计算量较形式简单HLLC格式减少约15%.

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