Comparison of the local front reconstruction method with a diffuse interface model for the modeling of droplet collisions

Anderson, 1998, Diffuse-interface methods in fluid mechanics, Ann. Rev. Fluid Mech., 30, 139, 10.1146/annurev.fluid.30.1.139 Ashgriz, 1990, Coalescence and separation in binary collisions of liquid drops, J. Fluid Mech., 221, 183, 10.1017/S0022112090003536 Brenn, 2006, Satellite droplet formation by unstable binary drop collisions, Phys. Fluids, 18, 087101, 10.1063/1.2225363 Cahn, 1959, Free energy of a nonuniform system. II. thermodynamic basis, J. Chem. Phys., 30, 1121, 10.1063/1.1730145 Cockburn, 1996, model numerical scheme for the propagation of phase transitions in solids, SIAM J. Sci. Comput., 17, 1092, 10.1137/S106482759426688X Das, 2017, Immersed boundary method (IBM) based direct numerical simulation of open-cell solid foams: Hydrodynamics, AIChE J., 63, 1152, 10.1002/aic.15487 Dijkhuizen, 2010, DNS of gas bubbles behaviour using an improved 3D front tracking model-model development, Chem. Eng. Sci., 65, 1427, 10.1016/j.ces.2009.10.022 Dunn, 1985, On the thermomechanics of interstitial working, Arch. Ration. Mech. Anal., 88, 95, 10.1007/BF00250907 Estrade, 1999, Experimental investigation of dynamic binary collision of ethanol droplets–a model for droplet coalescence and bouncing, Int. J. Heat Fluid Flow, 20, 486, 10.1016/S0142-727X(99)00036-3 Finotello, 2017, Effect of viscosity on droplet-droplet collisional interaction, Phys. Fluids, 29, 067102, 10.1063/1.4984081 Gelissen, 2018, Simulations of droplet collisions with a diffuse interface model near the critical point, Int. J. Multiph. Flow, 107, 208, 10.1016/j.ijmultiphaseflow.2018.06.001 Gotaas, 2007, Effect of viscosity on droplet-droplet collision outcome: Experimental study and numerical comparison, Phys. Fluids, 19, 102106, 10.1063/1.2781603 Kwakkel, 2013, Extension of a CLSVOF method for droplet-laden flows with a coalescence/breakup model, J. Comput. Phys., 253, 166, 10.1016/j.jcp.2013.07.005 Mason, 2012, Multi-scale volume of fluid modelling of droplet coalescence Mirsandi, 2018, Numerical simulation of bubble formation with a moving contact line using local front reconstruction method, Chem. Eng. Sci., 187, 415, 10.1016/j.ces.2018.04.048 Nikolopoulos, 2009, numerical investigation of central binary collision of droplets, Comput. Fluids, 38, 1191, 10.1016/j.compfluid.2008.11.007 Nikolopoulos, 2009, Off-centre binary collision of droplets: A numerical investigation, Int. J. Heat Mass Transf., 52, 4160, 10.1016/j.ijheatmasstransfer.2009.04.011 Nobari, 1996, Head-on collision of drops – a numerical investigation, Phys. Fluids, 8, 29, 10.1063/1.868812 Pairam, 2009, Generation and stability of toroidal droplets in a viscous liquid, Phys. Rev. Lett., 102, 234501, 10.1103/PhysRevLett.102.234501 Pan, 2005, Numerical simulation of binary liquid droplet collision, Phys. Fluids, 17, 082105, 10.1063/1.2009527 Pan, 2008, Experimental and mechanistic description of merging and bouncing in head-on binary droplet collision, J. Appl. Phys., 103, 6, 10.1063/1.2841055 Papatzacos, 2000, Diffuse-interface models for two-phase flow, Phys. Scr., 61, 349, 10.1238/Physica.Regular.061a00349 Pecenko, 2011, Non-isothermal two-phase flow with a diffuse-interface model, Int. J. Multiph. Flow, 37, 149, 10.1016/j.ijmultiphaseflow.2010.09.011 Qian, 1997, Regimes of coalescence and separation in droplet collision, J. Fluid Mech., 331, 59, 10.1017/S0022112096003722 Rajkotwala, 2018, Extension of local front reconstruction method with controlled coalescence model, Phys. Fluids, 30, 022102, 10.1063/1.5008371 Schwarzkopf, 2011 Shin, 2011, The local front reconstruction method for direct simulation of two- and three-dimensional multiphase flows, J. Comput. Phys., 230, 6605, 10.1016/j.jcp.2011.04.040 Shu, 1988, Efficient implementation of essentially non-oscillatory shock-capturing schemes, J. Comput. Phys., 77, 439, 10.1016/0021-9991(88)90177-5 Tonini, 2009, The role of droplet fragmentation in high-pressure evaporating diesel sprays, Int. J. Therm. Sci., 48, 554, 10.1016/j.ijthermalsci.2008.03.020 Willis, 2003, Binary droplet collisions in a vacuum environment: an experimental investigation of the role of viscosity, Exp. Fluids, 34, 28, 10.1007/s00348-002-0526-4 Yue, 2004, A diffuse-interface method for simulating two-phase flows of complex fluids, J. Fluid Mech., 515, 293, 10.1017/S0022112004000370 Zhang, 2011, An analysis of head-on droplet collision with large deformation in gaseous medium, Phys. Fluids, 23, 042102, 10.1063/1.3580754