A finite element approach to incompressible two-phase flow on manifolds

被引：71
作者：
Nitschke, I. [1 ]
Voigt, A. [1 ,2 ]
Wensch, J. [1 ]
机构：
[1] Tech Univ Dresden, Inst Wissensch Rechnen, D-01062 Dresden, Germany
[2] Tech Univ Dresden, Ctr Adv Modeling & Simulat, D-01062 Dresden, Germany
来源：
JOURNAL OF FLUID MECHANICS | 2012年 / 708卷
关键词：
Membranes; Multiphase flow; Navier-Stokes equations; PARTIAL-DIFFERENTIAL-EQUATIONS; PHASE-SEPARATION DYNAMICS; INTERFACE; FLUID; DOMAINS; MOTION;
D O I：
10.1017/jfm.2012.317
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
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.
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页码：418 / 438
页数：21
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