Capturing the Behavior of Bubbles and Drops Using the Variational Level Set Approach

Journal of Computational Physics

Volumn 143, Issue 2, 1998, Pages 495-518

  Zhao, Hong Kai ^a   Merriman, Barry ^a   Osher, Stanley ^a   Wang, Lihe ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT THEORY; GRADIENT METHODS; LAGRANGE MULTIPLIERS;

BUBBLE MOTION; DROPLET MOTION; EQUILIBRIUM SOLUTIONS; INERTIAL EFFECT; INERTIAL FORCES; LEVEL SET APPROACH; LEVEL-SET FUNCTION; STEADY STATE; VARIATIONAL LEVEL SET; VARIATIONAL LEVEL SET FORMULATIONS;

DROPS;

EID: 0001474149     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1997.5810     Document Type: Article

References (24)

1. Adalsteinsson D., Sethian J. A. A fast level set method for propagating interfaces. J. Comput. Phys. 118:1995;269.
2. Chang Y. C., Hou T. Y., Merriman B., Osher S. A level set formulation for Eulerian interface capturing methods for incompressible fluid flows. J. Comput. Phys. 124:1996;449.
3. Chen S., Merriman B., Osher S., Smereka P. A simple level set method for solving stefan problems. J. Comput. Phys. 135:1997;8-29.
4. Chopp D. Computing minimal surfaces via level set curvature flow. J. Comput. Phys. 106:1993;77.
5. Harabetian E., Osher S. Regularization of Ill-Posed Problems Via the Level Set Approach. 1995.
6. Harabetian E., Osher S., Shu C.-W. An Eulerian approach for vortex motion using a level set regularization procedure. J. Comput. Phys. 127:1996;15.
7. Harten A., Engquist B., Osher S., Chakravarthy S. R. Uniformly high order accurate essentially nonoscillatory schemes, III. J. Comput. Phys. 71:1987;231.
8. Hass J., Hutchings M., Schlafly R. The double bubble conjecture. Electron. Res. Announce AMS. 1:1995;98.
9. Kang M. A Level Set Approach for the Motion of Soap Bubbles with Curvature or Acceleration. 1996.
10. Mascarenhas P. Diffusion Generated Motion by Mean Curvature. 1992.
11. Merriman B., Bence J., Osher S. Diffusion generated motion by mean curvature. AMS Selected Lectures in Mathematics, The Computational Crystal Grower's Workshop. 1993;73.
12. Merriman B., Bence J., Osher S. Motion of multiple junctions: A level set approach. J. Comput. Phys. 12:1994;334.
13. Osher S. Subscale capturing in numerical analysis. Proc. Int. Congress of Mathematicians, Zurich, 1994. 1995;1448.
14. Osher S. Subscale capturing in CFD. CFD Review. 1995;182.
15. Osher S., Sethian J. A. Fronts propagating with curvature dependent speed: Algorithms based on a Hamilton-Jacobi formulation. J. Comput. Phys. 79:1988;12.
16. Osher S., Shu C.-W. High-order essentially nonoscillatory schemes for Hamilton-Jacobi equations. SIAM J. Numer. Anal. 28:1991;907.
17. Rosen G. The gradient projection method for nonlinear programming. Part II. Nonlinear constraints. J. Soc. Indus. Appl. Math. 9:1961;514.
18. Sethian J. A. Theory, Algorithms and Applications of Level Set Methods for Propagating Interfaces. 1995.
19. X. D. Shi, M. P. Brenner, S. R. Nagel, A cascade of structure in a drop falling from a faucet.
20. Shu C.-W., Osher S. Efficient implementation of essentially nonoscillatory shock-capturing schemes II. J. Comput. Phys. 83:1989;32.
21. Sussman M., Smereka P., Osher S. A level set approach for computing solutions to incompressible two-phase flow. J. Comput. Phys. 114:1994;146.
22. Zhao H.-K., Chan T., Merriman B., Osher S. A variational level set approach to multiphase motion. J. Comput. Phys. 127:1996;179.
23. H.-K. Zhao, M. Kang, B. Merriman, D. Peng, S. Osher, A PDE based fast local level set method, 1998.
24. H.-K. Zhao, J.-P. Shao, S. Osher, T. Chan, B. Merriman.