References
- S. O. Unverdi and G. Traggvason, A Front-Tracking Method for Viscous, Incompressible Multi-Fluid Flows, J. Comput. Phys., vol. 100, pp. 25–37, 1992.
- F. H. Harlow and J. E. Welch, Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface, Phys. Fluids, vol. 8, pp. 2182–2189, 1965.
- S. Osher and R. P. Fedkiw, Level Set Methods: An Overview, and Some Recent Results, J. Comput. Phys., vol. 169, pp. 463–502, 2001.
- 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.
- C. W. Hirt and B. 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 Multimaterial Flow with Large Fluid Distortion, in K. W. Morton and M. J. Baines (eds.), Numerical Methods for Fluid Dynamics, pp. 273–285, Academic Press, New York, NY, 1982.
- H. K. Zinjala and J. Banerjee, A Lagrangian-Eulerian Volume Tracking with Linearity-Preserving Interface Reconstruction, Numer. Heat Transfer Part B, vol. 68, pp. 459–478, 2015.
- M. Rudman, Volume Tracking Methods for Interfacial Flow Calculations, Int. J. Numer. Methods Fluids, vol. 24, pp. 671–691, 1997.
- J. E. Pilliod and E. G. Puckett, Second-Order Accurate Volume-of-Fluid Algorithms for Tracking Material Interfaces, J. Comput. Phys., vol. 199, pp. 465–502, 2004.
- B. Swartz, The Second-Order Sharpening of Blurred Smooth Borders, Math. Comput., vol. 52, pp. 675–714, 1989.
- V. Dyadechko and M. Shashkov, Reconstruction of Multi-Material Interfaces from Moment Data, J. Comput. Phys., vol. 227, pp. 5361–5384, 2008.
- H. K. Zinjala and J. Banerjee, A Lagrangian-Eulerian Advection Scheme with Moment-of-Fluid Interface Reconstruction, Numer. Heat Transfer Part B, vol. 69, pp. 563–574, 2016.
- H. T. Ahn and M. Shashkov, Adaptive Moment-of-Fluid Method, J. Comput. Phys., vol. 228, pp. 2792–2821, 2009.
- R. N. Hill and M. Shashkov, The Symmetric Moment-of-Fluid Interface Reconstruction Algorithm, J. Comput. Phys., vol. 249, pp. 180–184, 2013.
- R. Fletcher, Practical Methods of Optimization, 2nd ed., John Wiley and Sons, New York, 2000.
- J. Nocedal and S. J. Wright, Numerical Optimization, 1st ed., Springer, New York, 1999.
- H. T. Ahn and M. Shashkov, Multi-Material Interface Reconsruction on Generalized Polyhedral Meshes, J. Comput. Phys., vol. 226, pp. 2096–2132, 2007.
- W. J. Rider and D. B. Kothe, Reconstructing Volume Tracking, J. Comput. Phys., vol. 141, pp. 112–152, 1998.
- M. S. M. Jemison and M. Shashkov, Filament Capturing with the Multimaterial Moment-of-Fluid Method, J. Comput. Phys., vol. 285, pp. 149–172, 2015.