论文标题
具有表面流和张力的无粘性多相流系统的能量变异方法
Energetic Variational Approaches for inviscid multiphase flow systems with surface flow and tension
论文作者
论文摘要
我们考虑了在两个移动域中无粘液流体运动的控制方程，并从充满活力的角度开始了一个演变的表面。我们采用能量的变分方法来得出具有表面流和张力的Indiscid多相流系统。更确切地说，我们计算流量图与模型的动作积分的变化，以得出表面流和张力。我们还研究了多相流系统的保护和能源定律。在表面上推导可压缩流体压力的关键思想是利用正压液的特征，并且在表面上得出不可压缩液的压力的关键思想是在封闭表面上施加广义的Helmholtz-weyl分解。
We consider the governing equations for the motion of the inviscid fluids in two moving domains and an evolving surface from an energetic point of view. We employ our energetic variational approaches to derive inviscid multiphase flow systems with surface flow and tension. More precisely, we calculate the variation of the flow maps to the action integral for our model to derive both surface flow and tension. We also study the conservation and energy laws of our multiphase flow systems. The key idea of deriving the pressure of the compressible fluid on the surface is to make use of the feature of the barotropic fluid, and the key idea of deriving the pressure of the incompressible fluid on the surface is to apply a generalized Helmholtz-Weyl decomposition on a closed surface.
