含运动边界二维多体干扰流场的数值模拟

Numerical simulation of 2D multi-bodies with moving boundaries

本文采用二阶精度Godonov扩展方法求解非定常Euler方程,以基于格心的自适应非结构网格的显式有限体积法为基础,空间和时间都是二阶精度,使用HLLC近似黎曼解的方法计算网格单元边界处的守恒量通量,对作俯仰振动的NACA0012翼型绕流及激波管中运动、静止圆柱的流场进行了数值模拟,并对数值模拟的结果进行了分析,为进一步对含多体分离流场进行数值模拟打下了基础。

This paper deals with a second-order Godonov extensive method for the numerical solution of the compressible unsteady Eulerian equations.The algorithm treating with the flow fields comprising moving boundaries is in conjunction with unstructured adaptive meshes.The algorithm is based on the second-order accurate in time and space,explicit time stepping,approximate Riemann solution method known as HLLC.The cell centered,finite-volume approach is also adopted.Numerical experiments involving transient computations of flow past a pitching NACA0012 airfoil and flows around a static cylinder and a moving cylinder in shock pipe demonstrate the capabilities of the new procedure.It is preparatory for complicated numerical simulation of multi-bodies' separation.