A moving mesh interface tracking method for 3D incompressible two-phase flows

Scardovelli, 1999, Direct numerical simulation of free-surface and interfacial flow, Annual Review of Fluid Mechanics, 31, 567, 10.1146/annurev.fluid.31.1.567 Osher, 2001, Level set method: an overview and some recent results, Journal of Computational Physics, 169, 463, 10.1006/jcph.2000.6636 Sethian, 2003, Level set methods for fluid interfaces, Annual Review of Fluid Mechanics, 35, 341, 10.1146/annurev.fluid.35.101101.161105 Tryggvason, 2001, A front-tracking method for computations of multiphase flow, Journal of Computational Physics, 169, 708, 10.1006/jcph.2001.6726 Unverdi, 1992, A front-tracking method for viscous, incompressible, multi-fluid flows, Journal of Computational Physics, 100, 25, 10.1016/0021-9991(92)90307-K Peskin, 1977, Numerical analysis of blood flow in the heart, Journal of Computational Physics, 25, 220, 10.1016/0021-9991(77)90100-0 Li, 2001, The immersed interface method for the Navier–Stokes equations with singular forces, Journal of Computational Physics, 171, 822, 10.1006/jcph.2001.6813 Hou, 1997, A hybrid method for moving interface problems with application for the Hele–Shaw flow, Journal of Computational Physics, 134, 236, 10.1006/jcph.1997.5689 He, 1999, A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh–Taylor instability, Journal of Computational Physics, 152, 642, 10.1006/jcph.1999.6257 Inamuro, 2004, A lattice Boltzmann method for incompressible two-phase flows with large density differences, Journal of Computational Physics, 198, 628, 10.1016/j.jcp.2004.01.019 Chen, 1998, Lattice Boltzmann method for fluid flows, Annual Review of Fluid Mechanics, 30, 329, 10.1146/annurev.fluid.30.1.329 Pozrikidis, 2001, Interfacial dynamics for Stokes flow, Journal of Computational Physics, 169, 250, 10.1006/jcph.2000.6582 Hou, 2001, Boundary integral methods for multicomponent fluids and multiphase materials, Journal of Computational Physics, 169, 302, 10.1006/jcph.2000.6626 Welch, 1995, Local simulation of two-phase flows including interface tracking with mass transfer, Journal of Computational Physics, 121, 142, 10.1006/jcph.1995.1185 Hu, 2001, Direct numerical simulations of fluid–solid systems using the arbitrary Lagrangian–Eulerian technique, Journal of Computational Physics, 169, 427, 10.1006/jcph.2000.6592 Perot, 2003, A moving unstructured staggered mesh method for the simulation of incompressible free-surface flows, Journal of Computational Physics, 184, 192, 10.1016/S0021-9991(02)00027-X Dai, 2002, Direct interface tracking of droplet deformation, Atomization and Sprays, 12, 721, 10.1615/AtomizSpr.v12.i56.110 Dai, 2005, Adaptive tetrahedral meshing in free-surface flow, Journal of Computational Physics, 208, 228, 10.1016/j.jcp.2005.02.012 Chang, 2002, Analysis of an exact fractional step method, Journal of Computational Physics, 180, 183, 10.1006/jcph.2002.7087 G. Tryggvason et al. Computations of multiphase flow by a finite difference/front tracking method. 1. Multi-fluid flows, in: 29th Computational Fluid Dynamics: Lecture Series 1998-03. Von Karman Institute for Fluid Dynamics. Tannehill, 1997 M. Dai, Numerical simulation of capillary pinching using an unstructured mesh and finite volume method, MS Thesis, Mechanical and Industrial Engineering, University of Massachusetts, Amherst, 2002, p. 101. Dey, 1999, Topology preserving edge contraction, Publications de I’Institut Mathematique (Beograd), 66, 23 Dai, 2005, Numerical Simulation of Free Surface Flow Using a Moving, Unstructured Mesh Method, in MIE Lamb, 1945 Shin, 2002, Modeling three-dimensional multiphase flow using a level contour reconstruction method for front tracking without connectivity, Journal of Computational Physics, 180, 427, 10.1006/jcph.2002.7086 Taylor, 1932, The viscosity of a fluid containing small drops of another fluid, Proceedings of the Royal Society of London Series A, 138, 41, 10.1098/rspa.1932.0169 Taylor, 1934, The formation of emulsions in definable fields of flow, Proceedings of the Royal Society of London Series A, 146, 501, 10.1098/rspa.1934.0169 Guido, 1999, Experimental determination of drop shape in slow steady shear flow, Journal of Colloid and Interface Science, 219, 298, 10.1006/jcis.1999.6458 Rallison, 1984, The deformation of small viscous drops and bubbles in shear flows, Annual Review of Fluid Mechanics, 16, 45, 10.1146/annurev.fl.16.010184.000401 Stone, 1989, Relaxation and breakup of an initially extended drop in an otherwise quiescent fluid, Journal of Fluid Mechanics, 198, 399, 10.1017/S0022112089000194 S. Quan, S. Gopalakrishnan, D.P. Schmidt, Effect of droplet distortion on drag coefficient in accelerated flows, in: 19th Annual Conference of ILASS – Americas: Institute for Liquid Atomization and Spray System, Toronto, Canada, 2006.