发表机构
Aix Marseille Université; Texas A&M University（艾克斯-马赛大学; 德克萨斯农工大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
针对复合状态方程的可压缩欧拉方程黎曼问题，通过辅助黎曼问题比较，推导出无需区分波型的最大波速可计算上界。
AI 中文摘要
我们为具有复合状态方程的可压缩欧拉方程的黎曼问题推导了最大波速的可计算上界，其中压力是凸流体动力学部分与正压修正项之和。该修正可能破坏状态方程的凸性，因此黎曼解可能包含复合激波-稀疏波。这些上界通过与仅含流体动力学状态方程的辅助黎曼问题进行比较而获得。无论外波是基本波还是复合波，这些上界均成立，且无需对波型进行情形区分。
英文摘要
We derive computable upper bounds on the maximum wave speed in the Riemann problem for the compressible Euler equations with a composite equation of state, in which the pressure is the sum of a convex hydrodynamical part and a barotropic correction. The correction may destroy the convexity of the equation of state, so that the Riemann solution can contain composite shock-rarefaction waves. The bounds are obtained by comparison with the auxiliary Riemann problem for the hydrodynamical equation of state alone. The bounds hold irrespective of whether the outer waves are elementary or composite and require no case distinction on the wave type.
