A DIFFUSE INTERFACE FRACTIONAL TIME-STEPPING TECHNIQUE FOR INCOMPRESSIBLE TWO-PHASE FLOWS WITH MOVING CONTACT

被引：21
作者：
Salgado, Abner J. [1 ]
机构：
[1] Univ Maryland, Dept Math, College Pk, MD 20742 USA
来源：
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2013年 / 47卷 / 03期
关键词：
Navier Stokes; Cahn Hilliard; multiphase flow; contact line; fractional time-stepping; PHASE-FIELD MODEL; VARIATIONAL APPROACH; NUMERICAL-SOLUTION; CAHN; LINE; APPROXIMATIONS; LIQUIDS; SCHEME;
D O I：
10.1051/m2an/2012047
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For a two phase incompressible flow we consider a diffuse interface model aimed at addressing the movement of three-phase (fluid-fluid-solid) contact lines. The model consists of the Cahn Hilliard Navier Stokes system with a variant of the Navier slip boundary conditions. We show that this model possesses a natural energy law. For this system, a new numerical technique based on operator splitting and fractional time-stepping is proposed. The method is shown to be unconditionally stable. We present several numerical illustrations of this scheme.
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页码：743 / 769
页数：27
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