References
- Sussman, M., Smereka, P. and Osher, S., 1994, "A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow," J. Comput. Phys., Vol. 114, pp. 146-159 https://doi.org/10.1006/jcph.1994.1155
- Chang, Y. C., Hou, T. Y., Merriman, B. and Osher, S., 1996, "A Level Set Formulation of Eulerian Interface Capturing Methods for Incompressible Fluid Flows," J. Comput. Phys., Vol. 124, pp. 449-464 https://doi.org/10.1006/jcph.1996.0072
- Hirt, C. W. and Nichols, B. D., 1981, "Volume of Fluid (VOF) Method for the Dynamics of Free Boundaries," J. Comput. Phys., Vol. 39, pp. 201-225 https://doi.org/10.1016/0021-9991(81)90145-5
- Choi, H. G., Kang, S. W., Yoo, J. Y. and Lee, Y. P., 2005, "Study on the Finite Element Discretization of the Level Set Redistancing Algorithm," Trans. of the KSME (B), Vol. 29, No. 6, pp. 703-710 https://doi.org/10.3795/KSME-B.2005.29.6.703
- Sussman, M. and Puckett, E. G., 2000, "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 https://doi.org/10.1006/jcph.2000.6537
- Choi, H. G., Choi, H. and Yoo, J. Y., 1997, "A Fractional Four-Step Finite Element Formulation of the Unsteady Incompressible Navier-Stokes Equations Using SUPG and Linear Equal-Order Element Methods," Computer Methods in Applied Mechanics and Engineering, Vol. 143, pp. 333-348 https://doi.org/10.1016/S0045-7825(96)01156-5
- Shin, S. and Lee, W. I., 2000, "Finite Element Analysis of Incompressible Viscous Flow with Moving Free Surface by Selective Volume of Fluid Method," Int. J. Heat Fluid Flow, Vol. 21, pp. 197-206 https://doi.org/10.1016/S0142-727X(99)00083-1
- Son, G., 2003, "Efficient Implementation of a Coupled Level-Set and Volume-of-Fluid Method for Three-Dimensional Incompressible Two-Phase Flows," Numer. Heat Trans., Part B, Vol. 43, pp. 549-565 https://doi.org/10.1080/713836317
- Martin, J. C. and Moyce, W. J., 1952, "An Experimental Study of the Collapse of Liquid Columns on a Rigid Horizontal Plane," Philos. Trans. Roy. Soc. London Ser. A, Math. Phys. Sci., Vol. 244, pp. 312-324 https://doi.org/10.1098/rsta.1952.0006
- Yue, W., Lin, C. L. and Patel, V. C., 2003, "Numerical Simulation of Unsteady Multidimensional Free Surface Motions by Level Set Method," Int. J. Numer. Methods Fluid, Vol. 42, pp. 853-884 https://doi.org/10.1002/fld.555
-
Choi, H. G., Kang, S. W. and Yoo, J. Y., 2006, "Level Set Based Finite Element Method of Bubble-in-Liquid Simulation," Proceedings of the
$4^{th}$ Int. Conf. Comput. Fluid Dynamics, pp. 37-38 - Hou, T. Y., Li, Z., Osher, S. and Zhao, H., 1997, "A Hybrid Method for Moving Interface Problems with Application to the Hele-Shaw Flow," J. Comput. Phys., Vol. 134, pp. 236-252 https://doi.org/10.1006/jcph.1997.5689