The constrained reinitialization equation for level set methods

Journal of Computational Physics

Volumn 229, Issue 5, 2010, Pages 1514-1535

  Hartmann, Daniel ^a   Meinke, Matthias ^a   Schröder, Wolfgang ^a  

^a RWTH AACHEN UNIVERSITY   (Germany)

Author keywords

Distance function; Eikonal equation; Level set method; Reinitialization

Indexed keywords

DIFFERENTIAL EQUATIONS; DROP BREAKUP; GEOMETRICAL OPTICS; LEVEL MEASUREMENT; NUMERICAL METHODS;

DISTANCE FUNCTIONS; EIKONAL EQUATION; EQUATION BASED; FORCING TERMS; HARTMANN; HIGH-ORDER; HIGHER-ORDER; LEVEL SET METHOD; REINITIALIZATION; REINITIALIZATION EQUATION;

TWO PHASE FLOW;

EID: 72449149612     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2009.10.042     Document Type: Article

References (18)

1. Osher S., and Sethian J. Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 79 (1988) 12-49
2. Enright D., Fedkiw R., Ferziger J., and Mitchell I. A hybrid particle level set method for improved interface capturing. J. Comput. Phys. 183 (2002) 83-116
3. Sussman M., and Puckett E. A coupled level set and volume-of-fluid method for computing 3D and axisymmetric incompressible two-phase flows. J. Comput. Phys. 162 (2000) 301-337
4. Sussman M., and Fatemi E. An efficient, interface-preserving level set redistancing algorithm and its application to interfacial incompressible fluid flow. SIAM J. Sci. Comput. 20 4 (1999) 1165-1191
5. Sussman M., Almgren A., Bell J., Colella P., Howell L., and Welcome M. An adaptive level set approach for incompressible two-phase flows. J. Comput. Phys. 148 (1999) 81-124
6. Gómez P., Hernández J., and López J. On the reinitialization procedure in a narrow-band locally refined level set method for interfacial flows. Int. J. Numer. Meth. Eng. 63 (2005) 1478-1512
7. Herrmann M. A balanced force refined level set grid method for two-phase flows on unstructured flow solver grids. J. Comput. Phys. 227 (2008) 2674-2706
8. Sussman M., Smereka P., and Osher S. A level set approach for computing solutions to incompressible two-phase flow. J. Comput. Phys. 114 (1994) 146-159
9. Hartmann D., Meinke M., and Schröder W. Differential equation based constrained reinitialization for level set methods. J. Comput. Phys. 227 (2008) 6821-6845
10. Peng D., Merriman B., Osher S., Zhao H., and Kang M. A PDE-based fast local level set method. J. Comput. Phys. 155 (1999) 410-438
11. Russo G., and Smereka P. A remark on computing distance functions. J. Comput. Phys. 163 (2000) 51-67
12. D. Hartmann, M. Meinke, W. Schröder, On accuracy and efficiency of constrained reinitialization, Int. J. Numer. Meth. Fluids (2009). doi:10.1002/fld.2135.
13. Jiang G.-S., and Peng D. Weighted ENO schemes for Hamilton-Jacobi equations. SIAM J. Sci. Comput. 21 (2000) 2126-2143
14. D. Hartmann, M. Meinke, W. Schröder, Erratum to Differential equation based constrained reinitialization for level set methods, J. Comput. Phys. 227 (2008) 6821-6845 (J. Comput. Phys. 227 (2008) 9696).
15. Nourgaliev R., and Theofanous T. High-fidelity interface tracking in compressible flows: unlimited anchored adaptive level set. J. Comput. Phys. 224 (2007) 836-866
16. Rider W., and Kothe D. Reconstructing volume tracking. J. Comput. Phys. 141 (1998) 112-152
17. Smereka P. The numerical approximation of a delta function with application to level set methods. J. Comput. Phys. 211 (2006) 77-90
18. Zalesak S. Fully multidimensional flux-corrected transport algorithms for fluids. J. Comput. Phys. 31 (1979) 335-362