标题： 薄域中可压缩两相分层流的平均模型 显示英文标题

标题： Averaged models for compressible two-phase stratified flows on thin domains

摘要： 本文研究了可压缩两相流模型的推导问题。 我们采用双层结构的薄域近似方法，该结构受纳维-斯托克斯方程控制，遵循文献[H. B. Stewart 和 B. Wendroff, J. Comp. Phys., 56 (1984)] 和 [V. H. Ransom 和 D. L. Hicks, J. Comput. Phys., 75 (1988)] 的工作。 为了从这个渐近分析中直接恢复源项和双速度模型，我们去除了界面处速度切向分量的连续性，并适当地调整了摩擦系数和粘度系数。 然后我们能够推导出双速度单压力模型，首先是在绝热情况下，然后是在完整的纳维-斯托克斯-傅里叶情况下。 显示英文摘要

摘要： This paper deals with the derivation of compressible two-phase flow models. We use a thin domain approximation of a two-layer configuration governed by the Navier-Stokes equations, following the works [H. B. Stewart and B. Wendroff, J. Comp. Phys., 56 (1984)] and [V. H. Ransom and D. L. Hicks, J. Comput. Phys., 75 (1988)]. In order to recover source terms and two-velocity models directly from this asymptotic analysis, we remove the continuity of the tangential component of the velocity at the interface, and properly scale friction and viscosity coefficients. We are then able to derive two-velocity one-pressure models, first in the barotropic case and then in the full Navier-Stokes-Fourier case.