Three-Dimensional Numerical Simulation of Görtler Vortices in Hypersonic Compression Ramp
Three-Dimensional Numerical Simulation of Görtler Vortices in Hypersonic Compression Ramp
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DOI：
10.2514/6.2013-262
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发表时间：
2013-01
期刊：
影响因子：
--
通讯作者：
Y. Ohmichi;Kojiro Suzuki
中科院分区：
文献类型：
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作者：
Y. Ohmichi;Kojiro Suzuki
众所周知，由于离心不稳定性，凹曲面上的边界层中经常形成被称为戈特勒涡的纵向涡对。纵向涡流对高超声速流动中的壁面加热速率有显着影响。这项工作的目的是研究高超声速压缩坡道表面产生的戈特勒涡旋的基本特征。在本研究中，使用五阶 WCNS 进行了马赫数 7 的三维数值模拟，其中无粘性项采用 AUSM + -up 方案，粘性项采用四阶中心差分，时间积分采用三阶 TVD Runge-Kutta 方案。结果，在压缩坡道上边界层重新附着点后面产生了戈特勒涡，其展向波长大约是分离点处边界层厚度的三倍。
It is known that the longitudinal vortex pairs which are known as Gortler vortices are often formed in boundary layers over concave curved surfaces due to the centrifugal instability. The longitudinal vortices can have significant effects on the wall heating rate in hypersonic flow. The purpose of this work is to investigate fundamental characteristics of the Gortler vortices generated on a hypersonic compression ramp surface. In this study, a three-dimensional numerical simulation was conducted at Mach number 7 using the fifthorder WCNS with AUSM + -up scheme for inviscid terms, the fourth-order central differencing for viscous terms, and the third-order TVD Runge-Kutta scheme for the time integration. As a result, the Gortler vortices were generated behind the reattachment point of the boundary layer on the compression ramp and their spanwise wavelength was about three times greater than the boundary layer thickness at the separation point.