论文标题
使用功能熵变量的不可压缩的两阶段纳维尔 - 摩托克方程的能量触发级别的方法
An energy-dissipative level-set method for the incompressible two-phase Navier-Stokes equations with surface tension using functional entropy variables
论文作者
论文摘要
本文介绍了与表面张力不可压缩的Navier-Stokes方程的第一个能量散文水平集方法。该方法依赖于最近提出的功能熵变量概念。通过同几何分析进行空间的离散化。使用新的扰动中点方案进行时间整合。完全差异的方案是无条件的能量有效的，无差异，并满足密度的最大原理。两个维度和三维中的数值示例验证了该方法的能量稳定性。
This paper presents the first energy-dissipative level-set method for the incompressible Navier-Stokes equations with surface tension. The methodology relies on the recently proposed concept of functional entropy variables. Discretization in space is performed with isogeometric analysis. Temporal-integration is performed with a new perturbed midpoint scheme. The fully-discrete scheme is unconditionally energy-dissipative, pointwise divergence-free and satisfies the maximum principle for the density. Numerical examples in two and three dimensions verify the energetic-stability of the methodology.
