An arbitrary Lagrangian Eulerian method for three-phase flows with triple junction points

作者: Jie Li

DOI: 10.1016/J.JCP.2013.05.029

关键词:

摘要: We present a moving mesh method suitable for solving two-dimensional and axisymmetric three-liquid flows with triple junction points. This employs body-fitted unstructured where the interfaces between liquids are lines of system, points (if exist) nodes. To enhance accuracy efficiency method, is constantly adapted to evolution by refining coarsening locally; dynamic boundary conditions on interfaces, in particular points, therefore incorporated naturally accurately finite-element formulation. In order allow pressure discontinuity across double-values necessary interface nodes triple-values The resulting non-linear system mass momentum conservation then solved an Uzawa zero resultant condition reinforced at each time step. used investigate rising liquid drop attached bubble lighter liquid.

参考文章(40)
Francoise Brochard-Wyart Pierre-Gilles de Gennes (David Quere), Capillarity and Wetting Phenomena: Drops, Bubbles, Pearls, Waves ,(2003)
David R. O'Hallaron, Jonathan Richard Shewchuk, Gary L. Miller, Delaunay refinement mesh generation Delaunay refinement mesh generation. pp. 207- 207 ,(1997)
Xiaoming Zheng, John Lowengrub, Anthony Anderson, Vittorio Cristini, Adaptive unstructured volume remeshing - II: Application to two- and three-dimensional level-set simulations of multiphase flow Journal of Computational Physics. ,vol. 208, pp. 626- 650 ,(2005) , 10.1016/J.JCP.2005.02.024
Kurt Smith, Francisco Solis, David Chopp, A projection method for motion of triple junctions by level sets Interfaces and Free Boundaries. ,vol. 4, pp. 263- 276 ,(2002) , 10.4171/IFB/61
B. Bejanov, J.L. Guermond, P.D. Minev, A grid-alignment finite element technique for incompressible multicomponent flows Journal of Computational Physics. ,vol. 227, pp. 6473- 6489 ,(2008) , 10.1016/J.JCP.2008.03.011
Pengtao Yue, Chunfeng Zhou, James J. Feng, Carl F. Ollivier-Gooch, Howard H. Hu, Phase-field simulations of interfacial dynamics in viscoelastic fluids using finite elements with adaptive meshing Journal of Computational Physics. ,vol. 219, pp. 47- 67 ,(2006) , 10.1016/J.JCP.2006.03.016
Stanley Osher, James A Sethian, Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations Journal of Computational Physics. ,vol. 79, pp. 12- 49 ,(1988) , 10.1016/0021-9991(88)90002-2
Kensuke Yokoi, Efficient implementation of THINC scheme Journal of Computational Physics. ,vol. 226, pp. 1985- 2002 ,(2007) , 10.1016/J.JCP.2007.06.020
Stéphane Popinet, Stéphane Zaleski, A front-tracking algorithm for accurate representation of surface tension International Journal for Numerical Methods in Fluids. ,vol. 30, pp. 775- 793 ,(1999) , 10.1002/(SICI)1097-0363(19990730)30:6<775::AID-FLD864>3.0.CO;2-#