AUFS格式在无网格方法中的应用  

APPLICATION OF AUFS SCHEME IN GRIDLESS METHOD

作　　者：吴伟[1] 许厚谦[1] 王亮[1] 薛锐[1] 

机构地区：[1]南京理工大学能源与动力工程学院,南京210094

出　　处：《力学与实践》2014年第1期76-80,121,共6页Mechanics in Engineering

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%.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 efficiency and the accuracy of this /nethod, a Riemann problem, a supersonic flow in channel, and a transonic flow of NACA0012 airfoil at different 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.

关 键 词：无网格 EULER方程 AUFS(artificially UPSTREAM FLUX vector splitting)格式 

分 类 号：O351[理学—流体力学]