基于轴对称比拟的高超声速飞行器表面热环境数值与工程耦合算法研究

Study of numericalengineering coupled computation for aerodynamic heating predictions of hypersonic vehicles based on axisymmetric analog

  • 摘要: 基于轴对称比拟概念,发展了一套笛卡尔坐标系下的高超声速飞行器气动热环境计算方法。首先利用有限体积法数值求解Euler方程获得较为准确的边界层外缘无粘流场参数,然后基于有限元的四节点单元变换方法,直接利用笛卡尔坐标系下的三维速度分量计算无粘表面流线和尺度因子;在获取无粘表面流线和尺度因子的基础上,利用Zoby、Moss和Sutton提出的热流公式计算表面热流,从而实现数值算法和工程算法的耦合。将上述方法用于求解球锥在攻角分别为0°、8°和16°时的表面热流,并将计算结果同经典流线法结果及实验值进行比较,从而对方法进行考核验证。结果显示:本文计算结果与实验值吻合的较好,计算精度较经典流线法有较大提高。

     

    Abstract: In this paper,a method, which is based on the axisymmetric analog and needs to be used in conjunction with inviscid codes, is adopted for predicting the convective heating rates of hypersonic vehicles. The threedimensional inviscid flowfield solution is obtained firstly by solving the 3D Euler equation on structured grids. And then, the surface streamlines and metric coefficients are calculated by means of the inviscid velocity components in the Cartesian coordinates. Finally, some chosen approximate convective heating equations are used to evaluate heating rates. This method is applied to a cone at angles of attack of 0°, 8° and 16° to check the availability of being a better way for the heating rate predictions. By comparison of the present results with the experimental data and the results from the classic engineering methods, it is shown that good agreement exists between the calculated values and the experimental data, besides, a higher degree of precision of the heating rates can be obtained than the values from the classic engineering methods.

     

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