One-dimensional shock turbulence in a compressible fluid
One-dimensional shock turbulence in a compressible fluid
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DOI：
10.1017/s0022112074001558
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发表时间：
1974-09
影响因子：
3.7
通讯作者：
T. Tatsumi;H. Tokunaga
中科院分区：
文献类型：
--
作者：
T. Tatsumi;H. Tokunaga
利用微扰法研究了可压缩流体中激波、膨胀波和接触面等弱非线性扰动的相互作用。研究发现，属于不同特征族的非线性波的行为几乎是相互独立的，而属于同一特征族的非线性波要么受Burgers方程控制，要么受热传导方程控制。因此，可压缩流体中一维激波湍流的统计性质可简化为Burgers方程解的统计性质。特别是激波湍流的能量衰减规律与伯格湍流的能量衰减规律是一致的。
The interactions of weak nonlinear disturbances in a compressible fluid including shocks, expansion waves and contact surfaces are investigated by making use of the reductive perturbation method. It is found that the nonlinear waves belonging to different families of characteristics behave almost independently of each other, while those belonging to the same family are governed by either the Burgers equation or the equation of heat conduction. Thus the statistical properties of one-dimensional shock turbulence in a compressible fluid are reduced to those of the solutions of the Burgers equation. In particular, the law of energy decay of shock turbulence is shown to be identical to that of Burgers turbulence.