On Diffuse Interface Modeling and Simulation of Surfactants in Two-Phase Fluid Flow

被引:55
|
作者
Engblom, Stefan [1 ]
Do-Quang, Minh [2 ]
Amberg, Gustav [2 ]
Tornberg, Anna-Karin [3 ]
机构
[1] Uppsala Univ, Dept Informat Technol, Div Comp Sci, SE-75105 Uppsala, Sweden
[2] Royal Inst Technol, Dept Mech, Sch Engn, Linne Flow Ctr, S-10044 Stockholm, Sweden
[3] Royal Inst Technol, Sch Comp Sci & Commun, Dept Numer Anal, Linne Flow Ctr, S-10044 Stockholm, Sweden
基金
瑞典研究理事会;
关键词
Phase-field model; Cahn-Hilliard equation; surface active agent; Ginzburg-Landau free energy; well-posedness; CAHN-HILLIARD EQUATION; FINITE-ELEMENT APPROXIMATION; FRONT-TRACKING METHOD; LATTICE-BOLTZMANN; DROP DEFORMATION; ADSORPTION; KINETICS; DYNAMICS; COMPUTATION;
D O I
10.4208/cicp.120712.281212a
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
An existing phase-field model of two immiscible fluids with a single soluble surfactant present is discussed in detail. We analyze the well-posedness of the model and provide strong evidence that it is mathematically ill-posed for a large set of physically relevant parameters. As a consequence, critical modifications to the model are suggested that substantially increase the domain of validity. Carefully designed numerical simulations offer informative demonstrations as to the sharpness of our theoretical results and the qualities of the physical model. A fully coupled hydrodynamic test-case demonstrates the potential to capture also non-trivial effects on the overall flow.
引用
收藏
页码:879 / 915
页数:37
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