References
- S. Osher and J. A. Sethian, Fronts Propagating with Curvature-Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulations, J. Comput. Phys., vol. 79, pp. 12–49, 1988.
- M. Sussman, P. Smereka, and S. Osher, A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow, J. Comput. Phys., vol. 114, pp. 146–159, 1994.
- M. Sussman, E. Fatami, P. Smereka, and S. Osher, An Improved Level Set Method for Incompressible Two-Phase Flows, Comput. Fluids, vol. 27, pp. 663–680, 1998.
- J. Lee and G. Son, A Level-Set Method for Analysis of Particle Motion in an Evaporating Microdroplet, Numer. Heat Transfer B, vol. 67, pp. 25–46, 2015.
- C. W. Hirt and H. D. Nichols, Volume of Fluid (VOF) Method for the Dynamics of Free Boundaries, J. Comput. Phys., vol. 39, pp. 201–225, 1981.
- D. L. Youngs, Time-Dependent Multi-Material Flow with Large Fluid Distortion, in K. W. Morton and M. J. Baines (eds.), Numerical Methods for Fluid Dynamics, vol. 24, pp. 273–285, Academic Press, New York, 1982.
- W. J. Rider and D. B. Kothe, Reconstructing Volume Tracking, J. Comput. Phys., vol. 141, pp. 112–152, 1998.
- J. E. Pilliod Jr. and E. G. Puckett, Second-Order Accurate Volume-of-Fluid Algorithms for Tracking Material Interfaces, J. Comput. Phys., vol. 199, pp. 465–502, 2004.
- M. Huang, L. Wu, and B. Chen, A Piecewise Linear Interface-Capturing Volume-of-Fluid Method Based on Unstructured Grids, Numer. Heat Transfer B, vol. 61, pp. 412–437, 2012.
- J. U. Brackbill, D. B. Kothe, and C. Zemach, A Continuum Method for Modeling Surface Tension, J. Comput. Phys., vol. 100, pp. 335–354, 1992.
- M. Sussman and E. G. Puckett, A Coupled Level Set and Volume-of-Fluid Method for Computing 3D and Axisymmetric Incompressible Two-Phase Flows, J. Comput. Phys., vol. 162, pp. 301–337, 2000.
- G. Son and N. Hur, A Coupled Level Set and Volume-of-Fluid Method for the Buoyancy-Driven Motion of Fluid Particles, Numer. Heat Transfer B, vol. 42, pp. 523–542, 2002.
- S. P. van der Pijl, A. Segal, C. Vuik, and P. Wesseling, A Mass-Conserving Level-Set Method for Modeling of Multi-Phase Flows, Int. J. Numer. Methods Fluids, vol. 47, pp. 339–361, 2005.
- X. F. Yang, A. J. James, J. Lowengrub, X. M. Zheng, and V. Cristini, An Adaptive Coupled Level-Set/Volume-of-Fluid Interface Capturing Method for Unstructured Triangular Grids, J. Comput. Phys., vol. 217, pp. 364–394, 2006.
- T. Ménard, S. Tanguy, and A. Berlemont, Coupling Level Set/Vof/Ghost Fluid Methods: Validation and Application to 3D Simulation of the Primary Break-Up of a Liquid Jet, Int. J. Multiphase Flow, vol. 33, pp. 510–524, 2007.
- R. P. Fedkiw, T. Aslam, B. Merriman, and S. Osher, A Non-Oscillatory Eulerian Approach to Interfaces in Multimaterial Flows (the Ghost Fluid Method), J. Comput. Phys., vol. 152, pp. 457–492, 1999.
- D. L. Sun and W. Q. Tao, A Coupled Volume-of-Fluid and Level Set (VOSET) Method for Computing Incompressible Two-Phase Flows, Int. J. Heat Mass Transfer, vol. 53, pp. 645–655, 2010.
- A. Albadawi, D. B. Donoghue, A. J. Robinson, D. B. Murray, and Y. M. C. Delaure, Influence of Surface Tension Implementation in Volume of Fluid and Coupled Volume of Fluid with Level Set Methods for Bubble Growth and Detachment, Int. J. Multiphase Flow, vol. 53, pp. 11–28, 2013.
- Y.-Y. Tsui and S.-W. Lin, A VOF-Based Conservative Interpolation Scheme for Interface Tracking (CISIT) of Two-Fluid Flows, Numer. Heat Transfer B, vol. 63, pp. 263–283, 2013.
- Y.-Y. Tsui and Y.-F. Pan, A Pressure-Correction Method for Incompressible Flows Using Unstructured Meshes, Numer. Heat Transfer B, vol. 49, pp. 43–65, 2006.
- Y.-Y. Tsui and T.-C. Wu, A Pressure-Based Unstructured-Grid Algorithm Using High Resolution Schemes for All-Speed Flows, Numer. Heat Transfer B, vol. 53, pp. 75–96, 2008.
- T. J. Barth and D. C. Jespersen, The Design and Application of Upwind Schemes on Unstructured Meshes, AIAA 89–0366, 27th Aerospace Sciences Meeting, Reno, NV, 1989.
- G. Russo and P. Smereka, A Remark on Computing Distance Functions, J. Comput. Phys, vol. 163, pp. 51–67, 2000.
- B. Lafaurie, C. Nardone, R. Scardovelli, S. Zaleski, and G. Zanetti, Modelling Merging and Fragmentation in Multiphase Flows with SURFER, J. Comput. Phys., vol. 113, pp. 134–147, 1994.
- Y. Renardy and M. Renardy, PROST: A Parabolic Reconstruction of Surface Tension for the Volume-of-Fluid Method, J. Comput. Phys., vol. 183, pp. 400–421, 2002.
- J. R. Grace, Shape and Velocities of Bubbles Rising in Infinite Liquids, Trans. Inst. Chem. Eng., vol. 51, pp. 116–120, 1973.