可压缩全速湍流流动的边界数值处理方法研究

计算流体力学问题的边界条件处理方法关系到数值仿真结果的精确度。为解决算法的精度,提出了三维可压缩湍流流动的边界条件数值处理方法,对所研究的边界类型包括进口边界、出口边界和固体壁面,流动的速度范围涉及亚音速、跨音速和超音速。流场数值仿真采用SIMPLE算法,湍流采用k-ε模型仿真。将边界总结为沟通型和孤立型边界两种类型,对每一控制方程分别阐述特定的数值处理方法。应用提出的边界处理方法对单圆弧凸包通道进行数值仿真获得了合理的结果,跨音速和超音速情形下准确地计算出了流场中存在的激波。

Numerical Methods of Boundary Treatment for Compressible Turbulent Flow at All Speeds

The treatment of boundary conditions for computational fluid dynamics is vital for the precision of compotation results,hence numerical methods of boundary treatment are discussed,the inlet boundary,outlet boundary and wall boundary are included,and the flow speed covers subsonic,transonic and supersonic.SIMPLE algorithm is used to simulate the flowfield,and κ-ε model is employed to model the turbulence.The boundary conditions fall into two types:the isolation type and the communication type,and the specific treatments for every control equation are proposed.The single-circle bump channel is numerically simulated to testify the proposed boundary treatment and good results are achieved.The shock wake is precisely captured for the transonic and supersonic flow.