Reinterpreting shock wave structure predictions using the Navier-Stokes equations
Reinterpreting shock wave structure predictions using the Navier-Stokes equations
复制标题
使用纳维-斯托克斯方程重新解释冲击波结构预测
DOI：
10.1007/s00193-020-00952-1
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发表时间：
2020
期刊：
影响因子：
2.2
通讯作者：
Reddy M
中科院分区：
文献类型：
--
作者：
Reddy M
经典的纳维-斯托克斯方程不能准确地预测激波剖面。本文利用速度变量变换对Navier-Stokes系统进行了完全变换。变换后的方程被称为重铸的Navier-Stokes方程，显示了最初不包括在方程经典形式中的物理。然后，我们用有限差分全局解（FDGS）格式数值求解经典和改型Navier-Stokes方程，分析了单原子气体中的平稳激波结构问题。给出了从超声速到高超声速不同上游马赫数的数值计算结果。我们发现，重铸的Navier-Stokes方程与实验测量的密度和激波厚度曲线有更好的一致性。
Classical Navier–Stokes equations fail to predict shock wave profiles accurately. In this paper, the Navier–Stokes system is fully transformed using a velocity variable transformation. The transformed equations termed the recast Navier–Stokes equations display physics not initially included in the classical form of the equations. We then analyze the stationary shock structure problem in a monatomic gas by solving both the classical and the recast Navier–Stokes equations numerically using a finite difference global solution (FDGS) scheme. The numerical results are presented for different upstream Mach numbers ranging from supersonic to hypersonic flows. We found that the recast Navier–Stokes equations show better agreement with the experimentally measured density and reciprocal shock thickness profiles.