理想多方气体中的成对波相互作用
Pairwise wave interactions in ideal polytropic gases
摘要：
我们考虑的问题，解决所有成对的相互作用的冲击波，接触波，和稀疏波在一维流动的理想多方气体。在这里，解决相互作用意味着确定黎曼问题中的三个传出波（向后、接触和向前）的类型，这三个传出波是由两个传入波的极左和极右状态以及可能的真空形成来定义的。这个问题已经被几位作者考虑过了，结果令人惊讶地涉及其中。对于每种类型的相互作用（正面，涉及接触或超车），结果取决于传入波的强度。在追赶波的情况下，反射波的类型也取决于绝热常数的值。我们的分析提供了一个完整的细分，并给出了每个互动的确切结果。
英文摘要：
We consider the problem of resolving all pairwise interactions of shock waves, contact waves, and rarefaction waves in 1-dimensional flow of an ideal polytropic gas. Resolving an interaction means here to determine the types of the three outgoing (backward, contact, and forward) waves in the Riemann problem defined by the extreme left and right states of the two incoming waves, together with possible vacuum formation. This problem has been considered by several authors and turns out to be surprisingly involved. For each type of interaction (head-on, involving a contact, or overtaking) the outcome depends on the strengths of the incoming waves. In the case of overtaking waves the type of the reflected wave also depends on the value of the adiabatic constant. Our analysis provides a complete breakdown and gives the exact outcome of each interaction.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
