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摘要本文基于Euler方程，结合有限体积法、WENO格式以及网格自适应加密技术，对高超声速双圆柱绕流过程进行了数值模拟，研究了流场中密度、压力以及激波结构的变化，描述了在绕流过程中激波与滑移层相互作用的过程以及圆柱大小、位置改变后对流场结构的影响。研究结果表明，圆柱位置的大小的变化，对其流场的密度分布、压力分布以及激波结构会有一定的影响，当双圆柱在水平方向的距离较为接近时，上游圆柱产生的弓形激波对另一个圆柱影响较小，激波相交处的密度与压力会较小，整个系统会更加稳定；下游圆柱的半径变化时使得的两个圆柱的半径相差较大时，其相互的作用会相对较小，激波相交处压力与密度会较小，整个系统也会更加稳定。27488
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关键词 圆柱绕流，高超声速，激波结构，稳定性
毕业论文设计说明书外文摘要
Title Numerical Simulation of Hypersonic Flow around Supersonic Circular Cylinders
Abstract
Based on N-S equation and Euler equations, combined with Finite Volume Method, Godunov scheme, The high accuracy weighted essentially non-oscillatory(WENO) scheme and the adaptive mesh refinement(AMR) technology ,the flow around two cylinders produced numerical simulation to study the density, pressure and Schlieren diagram describing the In the process flow around each physical changes and various physical phenomena generated by the shock and the boundary layer effect. Describe the flow around produced during Karman Vortex Street phenomenon, and triple point.Describe other variables under control will position when a cylinder front or after the shift time density, pressure and the impact of physical phenomena. Describes the changes in density, pressure and physical phenomena cylinder size will control other variables. The results showed that: controlling other variables, changing one cylinder position, its density maps and pressure map will be changed, when the distance is closer to two-cylinder horizontally, because the cylinder to another cylinder bow shock effect than the Small, density and pressure shock at the intersection will be smaller, the entire system will be more stable number. Control other variables. Controlling for other variables, change the size of a column, its density maps and pressure map will be changed. When the two cylinder sizes are widely different, its mutual effect will be relatively small, the shock at the intersection of pressure and density will be smaller, the entire system will be more stable.
Keywords Cylinders. Supersonic, Linux, CFD
目 次
1 绪论 1
1.1 选题背景和意义 1
1.2 国内外研究现状 2
1.3 本文的主要内容 4
2 控制方程和数值方法 5
2.1 流体力学控制方程 5
2.1.1 Navier-Stokes 方程 5
2.1.2 Euler 方程 7
2.2 数值方法 7
2.2.1 有限体积法 7
2.2.2 Godunov格式 10
2.2.3 WENO格式 12
2.2.4 时间推进格式 15
2.2.5 网格自适应加密技术 15
3 二文圆柱绕流过程及特性研究 17
3.1 计算模型 17
3.2 结果分析 18