用多重网格TVD方法求解三维高超音速粘性流场

Multigrid and TVD Scheme for Three Dimension Hypersonic Viscous Flowfield

本文采用时间相关法求解了三维Ｎ－Ｓ方程。在计算中，对于压力和对流项采用Ｒｏｅ的通量差分分裂技术和Ｏｓｈｅｒ－Ｃｈａｋｒａｖａｒｔｈｙ的ＴＶＤ格式，对于粘性项，采用了中心差分格式。通过数值模拟得到了钝头双锥体高超音速层流流场在不同攻角下的数值解。计算的重点放在壁面热流率的预测。在攻角为４°和１２°的状态下，Ｓｔａｎｔｏｎ数的计算值与实验值进行了比较，二者吻合较好。为了加快收敛速率，计算时采用了多重网格方法。

In this paper, the time dependent numerical method is used to solve the three dimensional Navier Stokes equation. In the numerical procedure, Roe′s flux difference splitting technique and Chakravarthy Osher TVD scheme are used for the pressure and convective terms. Numerical solution of the Hypersonic laminer flow over a blunt biconic with 4° and 12° attack angle is obtained. The emphasis is placed on the predictions of the heat transfer rate on the wall. The numerical results of Stanton number are compared with the experimental data. And the multigrid method is also used to accelerate the convergence.