A finite element approach to incompressible two-phase flow on manifolds
A finite element approach to incompressible two-phase flow on manifolds
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DOI：
10.1017/jfm.2012.317
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发表时间：
2012-10-10
影响因子：
3.7
通讯作者：
Wensch, J.
中科院分区：
文献类型：
--
作者：
Nitschke, I.;Voigt, A.;Wensch, J.
两相牛顿表面流体模型作为一个表面Cahn-Hilliard-Navier-Stokes方程使用流函数制定。这使得人们可以规避在曲面上描述向量二阶偏微分方程的微妙之处，并允许使用参数有限元进行有效的数值处理。该方法是验证各种测试情况下，包括一个涡流捕获表面表现出强烈的相互作用的表面形态和流量。最后，该方法被应用到一个瑞利-泰勒不稳定性和粗糙化的情况下，在各种表面上。
A two-phase Newtonian surface fluid is modelled as a surface Cahn-Hilliard-Navier-Stokes equation using a stream function formulation. This allows one to circumvent the subtleties in describing vectorial second-order partial differential equations on curved surfaces and allows for an efficient numerical treatment using parametric finite elements. The approach is validated for various test cases, including a vortex-trapping surface demonstrating the strong interplay of the surface morphology and the flow. Finally the approach is applied to a Rayleigh-Taylor instability and coarsening scenarios on various surfaces.