三维Euler方程的两种高效高分辨率算法及其在高速进气道中的应用

TWO EFFICIENT AND HIGH-RESOLUTION HYBRID SCHEMES FOR SOLVING 3-D EULER EQUATIONS AND ITS APPLICATION TO HIGH SPEED INLET FLOWS

提出了两种计算三维Euler流场的有效算法:一种是作者提出并发展的三维LU-TVD杂交新格式;另一种是Euler方程空间七点三维强隐式新算法;两种算法都与有限体积离散相结合,而且都引进了高分辨率的机制,它们分别用于高速进气道三种工况的数值模拟,得到了满意的计算结果。

In this paper, two numerical schemes are respectively proposed and developed. The schemes are: (1) high-resolution LU-finite volume scheme (we refer to this scheme as scheme-1), (2) SIP-finite volume scheme (we call scheme-2). The features of two schemes lie in: (1) finite volume approach to adapt to three dimensional body of complex shape, (2) in the discritization for space variables, an improved LU decompositions combing a new kind of flux-splitting is proposed for scheme-1; SIP finite volume shceme is developed for scheme-2. (3) in the time marching to obtain the steady result, we use implicit scheme of second order accuracy. (4) Zhang's modified flux function is applied to calculated usually called residual term of the finite differential equations for schemes 1 and 2.The Schemes are used to compute the 3-D external and internal flow field for an mixed-compression inlet. Numerical experiments show that the schemes generate good shock resolution and many offer greater potential efficiency for use in 3-D practical problems.