On derivation and physical interpretation of level set method-based equations for two-phase flow simulations

Numerical Heat Transfer, Part B: Fundamentals

Volumn 56, Issue 4, 2009, Pages 307-322

  Gada, Vinesh H ^a   Sharma, Atul ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY BOMBAY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ADVECTION EQUATIONS; CONTINUITY EQUATIONS; DIRAC DELTA FUNCTION; FINE GRIDS; GOVERNING EQUATIONS; HEAVISIDE FUNCTIONS; LEVEL SET METHOD; LEVEL SETS; PHASE CHANGE; PHYSICAL INTERPRETATION; VOLUME CONSERVATION;

FLOW SIMULATION; FLUID DYNAMICS; LEVEL MEASUREMENT; PHASE INTERFACES; TWO PHASE FLOW;

SET THEORY;

EID: 70449363813     PISSN: 10407790     EISSN: 15210626     Source Type: Journal    
DOI: 10.1080/10407790903388258     Document Type: Article

References (28)

1. D. Juric and G. Tryggvason, Computations of Boiling Flows, Int. J. Multiphase Flow, vol.24, pp. 387-410, 1998.
2. A. Esmaeeli and G. Tryggvason, Computations of Film Boiling. Part I: Numerical Method, Int. J. Heat Mass Transfer, vol.47, pp. 5451-5461, 2004. (Pubitemid 39393865)
3. C. W. Hirt and B. D. Nichols, Volume of Fluid (VOF) Method for the Dynamics of Free Boundaries, J. Comput. Phys., vol.39, pp. 201-225, 1981.
4. W. J. Rider and D. B. Kothe, Reconstructing Volume Tracking, J. Comput. Phys., vol.141, pp. 112-152, 1998.
5. S. W. J. Welch and J. Wilson, A Volume of Fluid Based Method for Fluid Flows with Phase Change, J. Comput. Phys., vol.160, pp. 662-682, 2000.
6. M. Sussman, P. Smereka, and S. Osher, A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow, J. Comput. Phys., vol.114, pp. 146-159, 1994.
7. Y. C. Chang, T. Y. Hou, B. Merriman, and S. Osher, A Level Set Formulation of Eulerian Interface Capturing Methods for Incompressible Fluid Flows, J. Comput. Phys., vol.124, 449-464, 1996.
8. M. Sussman and E. Fatemi, An Efficient Interface Preserving Level Set Re-distancing Algorithm and Its Application to Interfacial Incompressible Flow, SIAM J. Sci. Comput., vol.20, pp. 1165-1191, 2000.
9. D. Peng, B. Merriman, S. Osher, H. K. Zhao, and M. Kang, A PDE-Based Fast Local Level Set Method, J. Comput. Phys., vol.155, pp. 410-438, 1999.
10. G. Son and N. Hur, A Coupled Level Set and Volume-of-Fluid Method for the Bouyancy-Driven Motion of Fluid Particles, Numer. Heat Transfer B, vol.42, pp. 523- 542, 2002.
11. G. Son, Efficient Implementation of A Coupled Level Set and Volume-of-Fluid Method for Three-Dimensional Incompressible Two-Phase Flows, Numer. Heat Transfer B, vol.43, pp. 549-565, 2003.
12. M. J. Ni, S. Komori, and N. B. Morley, Direct Simulation of Falling Droplet in a Closed Channel, Int. J. Heat Mass Transfer, vol.49, pp. 366-376, 2006.
13. Y. F. Yap, J. C. Chai, K. C. Toh, and T. N. Wong, Modeling the Flows of Two Immiscible Fluids in a Three-Dimensional Square Channel Using the Level-Set Method, Numer. Heat Transfer B, vol.49, pp. 893-904, 2006.
14. Y. F. Yap, J. C. Chai, T. N. Wong, K. C. Toh, and H. Y. Zhang, A Global Mass Correction Scheme for the Level-Set Method, Numer. Heat Transfer B, vol.50, pp. 455-472, 2006.
15. G. Son, A Level Set Method for Incompressible Two-Fluid Flows with Immersed Solid Boundaries, Numer. Heat Transfer B, vol.47, pp. 473-489, 2005.
16. G. Son and N. Hur, A Level Set Formulation for Incompressible Two-Phase Flows on Nonorthogonal Grids, Numer. Heat Transfer B, vol.48, pp. 303-316, 2005.
17. Y. Suh and G. Son, A Level-Set Method for Simulation of a Thermal Inkjet Process, Numer. Heat Transfer B, vol.54, pp. 138-156, 2008.
18. S. Chen, B. Merriman, S. Osher, and P. Smereka, A Simple Level Set Method for Solving Stefan Problems, J. Comput. Phys., vol.135, pp. 8-29, 1997.
19. H. Zhang, L. L. Zheng, V. Prasad, and T. Y. Hou, A Curvilinear Level Set Formulation for Highly Deformable Free Surface Problems with Application to Solidification, Numer. Heat Transfer B, vol.34, pp. 1-30, 1998.
20. L. L. Zheng and H. Zhang, An Adaptive Level Set Method for Moving-Boundary Problems: Application to Droplet Spreading and Solidification, Numer. Heat Transfer B, vol.37, pp. 437-454, 2000.
21. G. Son and V. K. Dhir, Numerical Simulation of Film Boiling near Critical Pressures with a Level Set Method, J. Heat Transfer, vol.120, pp. 183-192, 1998.
22. G. Son and V. K. Dhir, A Level Set Method for Analysis of Film Boiling on an Immersed Solid Surface, Numer. Heat Transfer B, vol.52, pp. 153-177, 2007.
23. F. Gibou, L. Chen, D. Nguyen, and S. Banerjee, A Level Set Based Sharp Interface Method for the Multiphase Incompressible Navier-Stokes Equations with Phase Change, J. Comput. Phys., vol.222, pp. 536-555, 2007.
24. J. Wu, V. K. Dhir, and J. Qian, Numerical Simulation of Subcoalled Nucleate Boiling by Coupling Level-Set Method with Moving-Mesh Method, Numer. Heat Transfer B, vol.51, pp. 535-563, 2007.
25. J. A. Sethian, Level Set Methods and Fast Marching Methods, 2nd ed., Cambridge University Press, New York, 1999.
26. S. Osher and R. Fedkiw, Level Set Methods and Dynamic Implicit Surfaces, Springer-Verlag, New York, 2003.
27. R. N. Bracewell, The Fourier Transform and Its Applications, 3d ed., pp. 61-77, McGraw-Hill, Boston, 2000.
28. J. U. Brackbill, D. B. Kothe, and C. Zemach, A Continuum Method for Modelling Surface Tension, J. Comput. Phys., vol.100, pp. 335-354, 1992