Abstract
Re-initialization procedure in level-set interface capturing method were investigated. The algorithm accomplishes the re-initialization step through locking the interface positions. Better accuracy was obtained both on the interface positions and the total fluid volume keeping. Though one more step of the interpolations is added in the procedure, there is no significant increase in total machine time spent.
Similar content being viewed by others
References
Osher S, Sethian J A. Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations [J].J Comput Phys, 1988,79(1): 12–37.
Mulder W, Osher S, Sethian J A. Computing interface motion in compressible gas dynamics [J].J Comput Phys, 1992,100(1): 209–228.
Fatemi E, Sussman M. An efficient interface preserving level-set re-distancing algorithm and its application interfacial incompressible fluid flow [J].SIAM J Sci Statist Comput, 1995,158(1): 36–58.
Sussman M, Smereka P. Axi-symmetric free boundary problem [J].J Fluid Mech, 1997,341(1): 269–294.
Sussman M, Almgren A S, Bell J Bet al. An adaptive level-set approach for incompressible two-phase flows [J].J. Comput Phys, 1999,148(1): 81–124.
Chang Y C, Hou Y T, Merriman Bet al. A level-set formulation of Eulerian interface capturing methods for incompressible fluid flows [J].J Comput Phys, 1996,124(2): 449–464.
Chen S, Merriman B, Osher Set al. A simple level-set method for solving Stefan problem [J].J Comput Phys, 1997,135(1): 8–29.
Fedkiw R P, Aslam T, Merriman Bet al. A nonoscillatory Eulerian approach to interface in multimaterial flows (the ghost fluid method) [J].J Comput Phys, 1999,152(2): 457–492.
Jiang G S, Shu C W. Efficient implementation of weighted ENO schemes [J].J Comput Phys, 1996,126(1): 202–228.
LIU Ru-xun, WANG Zhi-feng.Numerical Simulation Method and Capture of Interface Positions [M]. Hefei: Press of University of Science and Technology of China, 2001, (in Chinese)
Author information
Authors and Affiliations
Corresponding author
Additional information
Contributed by ZHOU Zhe-wei
Foundation items: the Natioanal Natural Science Foundation of China (19772026); Key Project Science Foundation of Shanghai Science Committee (1998-10)
Biographies: Wang Zhi-liang (1974≈)
Rights and permissions
About this article
Cite this article
Zhi-liang, W., Zhe-wei, Z. An improved level-set re-initialization solver. Appl Math Mech 25, 1083–1088 (2004). https://doi.org/10.1007/BF02439860
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02439860