| AUFS 格式在无网格方法中的应用简 |
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| 引用本文： | 吴 伟 许厚谦 王 亮 薛 锐. AUFS 格式在无网格方法中的应用简[J]. 力学与实践, 2014, 36(1): 76-80,121. DOI: 10.6052/1000-0879-13-260 |
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| 作者姓名： | 吴 伟 许厚谦 王 亮 薛 锐 |
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| 作者单位： | 南京理工大学能源与动力工程学院, 南京210094 |
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| 摘 要： | 将计算量小，激波分辨率高的AUFS (artificially upstream flux vector splitting) 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-van Leer-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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| 收稿时间： | 2013-06-14 |
APPLICATION OF AUFS SCHEME IN GRIDLESS METHOD |
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| WU Wei,XU Houqian,WANG Liang,XUE Rui. APPLICATION OF AUFS SCHEME IN GRIDLESS METHOD[J]. Mechanics and Engineering, 2014, 36(1): 76-80,121. DOI: 10.6052/1000-0879-13-260 |
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| Authors: | WU Wei XU Houqian WANG Liang XUE Rui |
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| Affiliation: | School of Power Engineering Nanjing University of Science & Technology, Nanjing 210094, China |
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| Abstract: | The artificially upstream flux vector splitting (AUFS) scheme is extended into a gridless method successfully. This gridless method is based on the polynomial basis least-squares method, the curve fitting of linear basis function and AUFS scheme are employed to calculate the spatial derivatives, and a four-stage Runge-Kutta algorithm is applied to advance the Euler equations in time. In order to demonstrate the effciency and the accuracy of this method, a Riemann problem, a supersonic flow in channel, and a transonic flow of NACA0012 airfoil at di?erent attack angles are simulated, and the results are in good agreement with the results calculated by the HLLC (Harten-Lax-van Leer-contact) scheme and other references. Besides, the time spent in the AUFS scheme is about 15% less than in the HLLC scheme. |
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| Keywords: | gridless method|Euler equations|AUFS (artificially upstream flux vector splitting) scheme |
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