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本文发展了一种能适应强间断流场的满足通量守恒的分区对接网格算法,并给出了保证通量守恒的通量插值系数应满足的条件。采用有限差分NND格式,求解层流NS方程,数值模拟了马赫数6～20绕圆柱的高超声速粘性流场。数值试验表明:方法具有良好的稳定性和收敛性,强激波能自由地穿越内边界。
In this paper, we develop a partitioned docking grid algorithm that can meet the flux conservation requirements that can adapt to the strong discontinuous flow field, and give the conditions that the flux interpolation coefficients that guarantee the conservation of the flux should satisfy. The finite difference NND format was used to solve the laminar flow NS equation, and the hypersonic viscous flow field with Mach number around 6-20 was simulated numerically. Numerical experiments show that the method has good stability and convergence, and the strong shock can freely cross the inner boundary.