论文标题
等等流动中跳跃的形成。孤立冲击波的分类
Formation of jumps in isentropic flows. Classification of solitary shock waves
论文作者
论文摘要
研究了在等熵流中任意跳跃发生的条件。结果表明，由于自相似流的演变而产生了气体动力参数的跳跃。引入了自我关注的Riemann波的概念。结果表明，只有这些波才能形成任意跳跃，并发现其生成条件。结果表明，存在一个临界速度，在下面无法以等距形成不连续性。还发现的是速度的第二个临界值，超过了这种速度仅在真空区域存在下形成不连续性。结果表明，只有两类的孤立冲击波：在包含真空区域的介质中形成的孤立冲击波，以及在连续培养基中形成的区域。结果表明，并非每年的Riemann波浪都会导致冲击波的出现。
The conditions for an arbitrary jump occurrence in isentropic flow are studied. It is shown that the jump in gas-dynamic parameters arises as a result of the evolution of a self-similar flow. The concept of self-focusing Riemann waves is introduced. It is shown that an arbitrary jump is formed only by these waves and the conditions for its generation are found. It is shown that there exists a critical velocity, below which a discontinuity cannot be formed isentropically. Also found is the second critical value of velocity, exceeding which a discontinuity is formed only in the presence of a vacuum region. It is shown that there are only two classes of solitary shock waves: those that form in a medium containing a vacuum region and those that form in a continuous medium. It is shown that not every fall of the Riemann wave leads to the appearance of a shock wave.
