Face offsetting: A unified approach for explicit moving interfaces

Journal of Computational Physics

Volumn 220, Issue 2, 2007, Pages 612-625

  Jiao, Xiangmin ^a  

^a Georgia Institute of Technology   (United States)

Author keywords

Entropy condition; Face offsetting; Huygens' principle; Interface propagation; Moving meshes

Indexed keywords

BENCHMARKING; LAGRANGE MULTIPLIERS; MESH GENERATION;

ENTROPY CONDITIONS; FACE OFFSETTING; HUYGEN'S PRINCIPLE; INTERFACE PROPAGATION; MOVING INTERFACE; MOVING MESH; SCIENTIFIC APPLICATIONS; SCIENTIFIC ENGINEERING; SURFACE MESH; UNIFIED APPROACH;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 33845601701     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2006.05.021     Document Type: Article

References (28)

1. Osher S., and Sethian J.A. Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 79 (1988) 12-49
2. Osher S., and Fedkiw R. Level Set Methods and Dynamic Implicit Surfaces (2003), Springer, Berlin
3. Sethian J.A. Level Set Methods and Fast Marching Methods (1999), Cambridge University Press, Cambridge
4. Juric D., and Tryggvason G. A front-tracking method for dendritic solidification. J. Comput. Phys. 123 (1996) 127-148
5. Glimm J., Grove J., Li X.L., and Tan D.C. Robust computational algorithms for dynamic interface tracking in three dimensions. SIAM J. Sci. Comput. 21 (2000) 2240-2256
6. Tryggvason G., Bunner B., Esmaeeli A., Juric D., Al-Rawahi N., Tauber W., Han J., Nas S., and Jan Y.-J. A front-tracking method for the computations of multiphase flow. J. Comput. Phys. 169 (2001) 708-759
7. 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
8. Aulisa E., Manservisi S., and Scardovelli R. A surface marker algorithm coupled to an area-preserving marker redistribution method for three-dimensional interface tracking. J. Comput. Phys. 197 (2004) 555-584
9. Du J., Fix B., Glimm J., Jia X., Li X., Li Y., and Wu L. A simple package for front tracking. J. Comput. Phys. 213 (2006) 613-628
10. Enright D., Losasso F., and Fedkiw R. A fast and accurate semi-Lagrangian particle level set method. Comput. Struct. 83 (2005) 479-490
11. T.F. Dupont, Y. Liu, Back and forth error compensation and correction methods for semi-Lagrangian schemes with application to level set interface computations, Math. Comp. (2006) in press.
12. Puckett E.G., Almgren A.S., Bell J.B., Marcus D.L., and Jider W.J. A high-order projection method for tracking fluid interfaces in variable density incompressible flows. J. Comput. Phys. 130 (1997) 269-283
13. Rudman M. Volume-tracking methods for interfacial flow calculations. Int. J. Numer. Meth. Fluid 24 (1997) 671-691
14. Rider W.J., and Kothe D.B. Reconstructing volume tracking. J. Comput. Phys. 141 (1998) 112-152
15. Harvie D.J.E., and Fletcher D.F. A new volume of fluid advection algorithm: the stream scheme. J. Comput. Phys. 162 (2000) 1-32
16. Chen L.Q. Phase-field models for microstructure evolution. Annu. Rev. Mater. Res. 32 (2002) 113-140
17. W.J. Rider, D.B. Kothe, A marker particle method for interface tracking, in: Proceedings of 6th International Symposium on Computational Fluid Dynamics, 1995, p. 976.
18. Maekawa T. An overview of offset curves and surfaces. Comput. Aided Des. 31 (1999) 165-173
19. Pham B. Offset curves and surfaces: a brief survey. Comput. Aided Des. 24 (1992) 223-229
20. Baker B.B., and Copson E.T. The Mathematical Theory of Huygens' Principle (1950), Clarendon Press, Oxford
21. Heath M.T. Scientific Computing: An Introductory Survey. second ed. (2002), McGraw-Hill, New York
22. Heckbert P.S., and Garland M. Optimal triangulation and quadric-based surface simplification. Comput. Geom. (1999) 49-65
23. X. Jiao, Volume and feature preservation in surface mesh optimization, in: Proceedings of 15th International Meshing Roundtable (2006) in press.
24. Frey P.J., and George P.-L. Mesh Generation: Application to Finite Elements (2002), Hermes
25. P. Frey, About surface remeshing, in: Proceedings of 9th International Meshing Roundtable, 2000, pp. 123-136.
26. D. Coats, J. French, S. Dunn, D. Berker, Improvements to the solid performance program (SPP), in: 39th AIAA/ASME/SAE/ASEE Joint Propulsion Conference, Huntsville, AL, 2003, AIAA-2003-4504.
27. Sutton G.P., and Biblarz O. Rocket Propulsion Elements. seventh ed. (2000), Wiley-Interscience, New York
28. J. Blazek, Flow simulation in solid rocket motors using advanced CFD, in: 30th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, 2003, AIAA 2003-5111.