Modeling merging and breakup in the moving mesh interface tracking method for multiphase flow simulations

Journal of Computational Physics - Tập 228 - Trang 2660-2675 - 2009
Shaoping Quan1, Jing Lou1, David P. Schmidt2
1Large-Scale Complex Systems Programme, Institute of High Performance Computing, 1 Fusionopolis Way, #16-16 Connexis, Singapore 138632, Singapore
2Department of Mechanical and Industrial Engineering, The University of Massachusetts at Amherst, 160 Governors Dr., Amherst, MA 01003-2210, USA

Tài liệu tham khảo

Quan, 2007, A moving mesh interface tracking method for 3D incompressible two-phase flows, J. Comput. Phys., 221, 761, 10.1016/j.jcp.2006.06.044 Rallison, 1984, The deformation of small viscous drops and bubbles in shear flows, Ann. Rev. Fluid Mech., 16, 45, 10.1146/annurev.fl.16.010184.000401 Stone, 1986, An experimental study of transient effects in the breakup of viscous drops, J. Fluid Mech., 173, 131, 10.1017/S0022112086001118 Burton, 2005, Scaling and instabilities in bubble pinch-off, Phys. Rev. Lett., 94, 184502, 10.1103/PhysRevLett.94.184502 Ashgriz, 1990, Coalescence and separation in binary collisions of liquid-drops, J. Fluid Mech., 221, 183, 10.1017/S0022112090003536 Qian, 1997, Regimes of coalescence and separation in droplet collision, J. Fluid Mech., 331, 59, 10.1017/S0022112096003722 Guido, 1998, Binary collision of drops in simple shear flow by computer-assisted video optical microscopy, J. Fluid Mech., 357, 1, 10.1017/S0022112097007921 Yang, 2001, The coalescence of two equal-sized drops in a two-dimensional linear flow, Phys. Fluids, 13, 1087, 10.1063/1.1358873 Aarts, 2005, Hydrodynamics of droplet coalescence, Phys. Rev. Lett., 95, 164503, 10.1103/PhysRevLett.95.164503 Baldessari, 2006, Effect of overall drop deformation on flow-induced coalescence at low capillary numbers, Phys. Fluids, 18, 013602, 10.1063/1.2158427 Yoon, 2007, Coalescence of two equal-sized deformable drops in an axisymmetric flow, Phys. Fluids, 19, 102102, 10.1063/1.2772900 Lafaurie, 1994, Modelling merging and fragmentation in multiphase flows with SURFER, J. Comput. Phys., 113, 134, 10.1006/jcph.1994.1123 Gotaas, 2007, Effect of viscosity on droplet–droplet collision outcome: experimental study and numerical comparison, Phys. Fluids, 19, 102106, 10.1063/1.2781603 Sussman, 1994, A level set approach for computing solutions to incompressible 2-phase flow, J. Comput. Phys., 114, 146, 10.1006/jcph.1994.1155 Pan, 2005, Numerical simulation of binary liquid droplet collision, Phys. Fluids, 17, 082105, 10.1063/1.2009527 Tanguy, 2005, Application of a level set method for simulation of droplet collisions, Int. J. Multiphase Flow, 31, 1015, 10.1016/j.ijmultiphaseflow.2005.05.010 Inamuro, 2004, A lattice Boltzmann method for incompressible two-phase flows with large density differences, J. Comput. Phys., 198, 628, 10.1016/j.jcp.2004.01.019 Nobari, 1996, Head-on collision of drops – a numerical investigation, Phys. Fluids, 8, 29, 10.1063/1.868812 Nobari, 1996, Numerical simulations of three-dimensional drop collisions, AIAA J., 34, 750, 10.2514/3.13136 Torres, 2000, The point-set method: front-tracking without connectivity, J. Comput. Phys., 165, 620, 10.1006/jcph.2000.6635 Shin, 2002, Modeling three-dimensional multiphase flow using a level contour reconstruction method for front tracking without connectivity, J. Comput. Phys., 180, 427, 10.1006/jcph.2002.7086 Leveque, 1994, The immersed interface method for elliptic equations with discontinuous coefficients and singular sources, SIAM J. Numer. Anal., 31, 1019, 10.1137/0731054 Lee, 2003, An immersed interface method for incompressible Navier–Stokes equations, SIAM J. Sci. Comput., 25, 832, 10.1137/S1064827502414060 Fedkiw, 1999, A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the Ghost fluid method), J. Comput. Phys., 152, 457, 10.1006/jcph.1999.6236 Kang, 2000, A boundary condition capturing method for multiphase incompressible flow, J. Sci. Comput., 15, 323, 10.1023/A:1011178417620 Sussman, 2007, A sharp interface method for incompressible two-phase flows, J. Comput. Phys., 221, 469, 10.1016/j.jcp.2006.06.020 Nourgaliev, 2008, Numerical prediction of interfacial instabilities: sharp interface method (SIM), J. Comput. Phys., 227, 3940, 10.1016/j.jcp.2007.12.008 Cristini, 2001, An adaptive mesh algorithm for evolving surfaces: simulations of drop breakup and coalescence, J. Comput. Phys., 168, 445, 10.1006/jcph.2001.6713 Anderson, 2005, Adaptive unstructured volume remeshing I: the method, J. Comput. Phys., 208, 616, 10.1016/j.jcp.2005.02.023 Zheng, 2005, Adaptive unstructured volume remeshing - II: application to two- and three-dimensional level-set simulations of multiphase flow, J. Comput. Phys., 208, 626, 10.1016/j.jcp.2005.02.024 Dai, 2005, Numerical simulation of head-on droplet collision: Effect of viscosity on maximum deformation, Phys. Fluids, 17, 041701, 10.1063/1.1874232 Quan, 2006, Direct numerical study of a liquid droplet impulsively accelerated by gaseous flow, Phys. Fluids, 18, 102103, 10.1063/1.2363216 Dai, 2005, Adaptive tetrahedral meshing in free-surface flow, J. Comput. Phys., 208, 228, 10.1016/j.jcp.2005.02.012 Perot, 2003, A moving unstructured staggered mesh method for the simulation of incompressible free-surface flows, J. Comput. Phys., 184, 192, 10.1016/S0021-9991(02)00027-X Liu, 2000, A boundary condition capturing method for Poisson’s equation on irregular domains, J. Comput. Phys., 160, 151, 10.1006/jcph.2000.6444 Chang, 2002, Analysis of an exact fractional step method, J. Comput. Phys., 180, 183, 10.1006/jcph.2002.7087 Abid, 1994, The drainage and rupture of partially-mobile films between colliding drops at constant approach velocity, Int. J. Multiphase Flow, 20, 613, 10.1016/0301-9322(94)90033-7 Eggers, 1999, Coalescence of liquid drops, J. Fluid Mech., 401, 293, 10.1017/S002211209900662X Duchemin, 2003, Inviscid coalescence of drops, J. Fluid Mech., 487, 167, 10.1017/S0022112003004646 Wu, 2004, Scaling law in liquid drop coalescence driven by surface tension, Phys. Fluids, 16, L51, 10.1063/1.1756928