Computation of subsonic inviscid flow past a cone using high-order schemes
Computation of subsonic inviscid flow past a cone using high-order schemes
复制标题
使用高阶方案计算经过锥体的亚音速无粘流
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
P. Morris
中科院分区：
文献类型：
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作者：
J. Kim;P. Morris
在结构网格上用高精度差分格式数值计算了马赫数为0.2的非定常尾迹绕过顶角为60°的锥体的非定常流动。通过求解三维可压缩欧拉方程，模拟了由于锥体后面的旋涡脱落而产生的压力和速度的大幅波动。采用轴对称结构网格系统。它是通过绕中心线旋转二维栅格平面生成的。通过改变欧拉方程中通量向量的形式，避免了雅可比矩阵和某些网格度量在中心线的奇异性，而无需任何渐近假设或简化。空间导数的计算采用四阶和六阶有限差分格式，时间推进采用四阶龙格-库塔格式。通过对涡量场的可视化研究了锥体后复杂的尾迹结构和运动。对平均流型和周期现象进行了分析，并与实验数据进行了比较。这证明了本方法在进一步分析绕过轴对称钝体的尾迹主导流动时的准确性。
A wake-dominated unsteady flow of Mach number 0.2 past a cone of vertex angle 60 deg is calculated numerically using high-order finite difference schemes on structured grids. The three-dimensional compressible Euler equations are solved to simulated an inviscid flow that exhibits large fluctuations of pressure and velocity as a result of the shedding of vortices behind the cone. An axisymmetric structured grid system is used. It is generated by rotating a two-dimensional grid plane around a centerline. The grid singularity at the centerline, where the Jacobian and some grid metrics approach infinity, is avoided by changing the form of the flux vectors in the Euler equations without any asympotic assumption or simplification. Fourth-and sixth-order finite difference schemes are used for the evaluation of spatial derivatives, and a fourth order Runge-Kutta scheme is used for marching the solution in time. The complex wake structures and motions behind the cone are investigated by visualizing the vorticity field. The mean flow pattern and periodic phenomena are analyzed and compared with experimental data. This demostrates the accuracy of the present approach to further analyses of wake-dominated flows past axisymmetric blunt-based bodies.