Abstract
A new interface reconstruction algorithm is presented which represents the interface within each cell as two connected line segments. This enables interfaces to be continuous across cell boundaries and allows T-junctions to be represented.
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References
Bell J, Marcus D L, Puckett E G, Almgren A S and Ryder W J (1997). A high order projection method for tracking fluid interfaces in variable density incompressible flows. J. Comput. Phys.130, pp 269–282.
Benson D J (1992). Computational methods in lagrangian and eulerian hydrocodes. Computer Methods in Applied Mechanics and Engineering, 99, pp 235–394.
Glimm J and McBryan O (1985). A computational model for interfaces, ,Adu. App. Math., 6:422.
Henderson L F, Puckett E G and Colella P (1990). On the Anomalous Refraction of Shock Waves. Proc., Second Japan-Soviet Union Symposium on Computational Fluid Dynamics, Tsukuba, Japan, p 144.
Hirt C W and Nichols B D (1981). Volume of fluid (VOF) method for the dynamics of free boundaries. J. Comput. Phys.39, pp 201–225.
Hyman J M (1984). Numerical methods for tracking interfaces. Physica 12D, pp 396–407.
Noh W F and Woodward P (1976). SLIC (simple line interface calculation). Lecture Notes in Physics 59. Springer, Berlin.
Oran E S and Boris J P (1987). Numerical Simulation of Reactive Flow. Elsevier, New York.
Sethian J A (1999). Level Set Methods and Fast Marching Methods. Cambridge University Press.
Woodward P and Colella P (1984). The numerical simulation of two-dimensional flows with strong shocks. J. Comput. Phys.54(1), pp 115–173.
Youngs D L (1982). Time dependent multi-material flow with large fluid distortion. Numerical Methods for Fluid Dynamics, pp 273–285. Morten K W and Baines M J (Editors). Academic Press.
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© 2001 Springer Science+Business Media New York
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Giddings, R.D. (2001). Helmit — A New Interface Reconstruction Algorithm. In: Toro, E.F. (eds) Godunov Methods. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-0663-8_37
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DOI: https://doi.org/10.1007/978-1-4615-0663-8_37
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4613-5183-2
Online ISBN: 978-1-4615-0663-8
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