Volume tracking of interfaces having surface tension in two and three dimensions

34th Aerospace Sciences Meeting and Exhibit

Volumn , Issue , 1996, Pages

  Kothe, D B ^a   Rider, W J ^a   Mosso, S J ^a   Brock, J S ^a   Hochstein, J I ^b  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b UNIVERSITY OF MEMPHIS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AEROSPACE ENGINEERING; ALGORITHMS; CEREBROSPINAL FLUID; CURVE FITTING; DELTA FUNCTIONS; PIECEWISE LINEAR TECHNIQUES; SURFACE TENSION;

CONTINUUM SURFACE FORCE MODELS; CONTINUUM SURFACE FORCES; FUNCTION APPROXIMATION; INTERFACE RECONSTRUCTION; INTERFACE TRACKING METHOD; VARIABLE SURFACE TENSION; VOLUME OF FLUID METHOD; VOLUME TRACKING METHOD;

RUNGE KUTTA METHODS;

EID: 0242575402     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (56)

1. W. J. Rider, D. B. Kothe, SJ. Mosso, J. H. Cerutti, and J. I. Hochstein. Accurate Solution Algorithms for Incom pressible Multiphase Fluid Flows. Technical Report AIAA 95-0699, AIAA (1995). Presented at the 33rd Aerospace Sciences Meeting and Exhibit, Reno, NV (1995). See also http: //www. c3. lanl. gov/~wjr/pubs. html.
2. J. U. Brackbill, D. B. Kothe, and C. Zemach. A Continuum Method for Modeling Surface Tension. J. Comput. Phys., 100: 335-354 (1992).
3. D. B. Kothe, R. C. Mjolsness, and M. D. Torrey. RIPPLE: A Computer Program for Incompressible Flows with Free Surfaces. Technical Report LA-12007-MS, Los Alamos National Laboratory (1991).
4. D. B. Kothe and R. C. Mjolsness. RIPPLE: A New Model for Incompressible Flows with Free Surfaces. AIAA J., 30: 2694-2700 (1992).
5. J. R. Richards, A. N. Beds, and A. M. Lenhoff. Steady Laminar Flow of Liquid-Liquid Jets at High Reynolds Numbers. Phys. Fluids A, 5: 1703-1717 (1993).
6. J. R. Richards, A. M. Lenhoff, and A. N. Beris. Dynamic Breakup of Liquid-Liquid Jets. Phys. Fluids A, 6: 2640-2655 (1994).
7. H. Haj-Hariri, Q. Shi, and A. Borhan. Effect of Local Property Smearing on Global Variables: Implication for Numerical Simulations of Multiphase Flows. Phys. Fluids A, 6: 2555-2551 (1994).
8. H. Liu, EJ. Lavemia, and R. H. Rangel. Numerical Investigation of Micropore Formation During Substrate Impact of Molten Droplets in Plasma Spray Processes. Atomization and Sprays, 4: 369-384 (1994).
9. N. B. Morley, A. A. Gaizer, and M. A. Abdou. Estimates of the Effect of a Plasma Momentum Flux on the Free Surface of a Thin Film of Liquid Metal. In ISFNT-3: Third International Symposium in Fusion Nuclear Technology, UCLA, Los Angeles, CA (1994).
10. Q. Shi and H. Haj-Hariri. The Effects of Convection on the Motion of Deformable Drops. Technical Report AIAA 94-0834, AIAA (1994). Presented at the 32nd Aerospace Sciences Meeting and Exhibit, Reno, NV (1994).
11. G. P. Sasmal and J. I. Hochstein. Marangoni Convection with a Curved and Deforming Free Surface in a Cavity. J. Fluids Engr., 116: 577-582 (1994).
12. B. LaFaurie, C. Nardone, R. Scardovelli, and S. Zaleski. Modelling Merging and Fragmentation in Multiphase Flows with SURFER. J. Comput. Phys., 113: 134-147 (1994).
13. H. Liu, EJ. Lavemia, and R. H. Rangel. Numerical Simulation of Substrate Impact and Freezing of Droplets in Plasma Spray Processes. J. Phys. D: Appl. Phys., 26: 1900-1908 (1993).
14. H. Liu, EJ. Lavernia, and R. H. Rangel. Modeling of Molten Droplet Impingement on a Non-Flat Surface. Acta Metali. Mater., 43: 2053-2072 (1995).
15. J. -P. Delplanque, E. J. Lavernia, and R. H. Rangel. MultiDirectional Solidification Model for the Description of Micro-Pore Formation in Spray Deposition Processes. Presented at the 1995 ASME WAM, San Francisco, CA (1995).
16. M. Schmid and F. Klein. Fluid Flow in Die Cavities - Experimental and Numerical Simulation. Proceedings of the North American Die Casting Association Conference, Indianapolis, IN, pp. 93-99 (1995).
17. J. R. Richards, et al. Drop Formation in Liquid-Liquid Systems Before and After Jetting. Phys. Fluids, 7: 2617- 2630(1995).
18. I. Aleinov and E. G. Puckett Computing Surface Tension with High-Order Kernels. Proceedings of the 6th International Symposium on Computational Fluid Dynamics, Lake Tahoe, NV, pp. 13-18 (1995).
19. RJ. LeVeque and Z. Li. The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources. SIAM J. Numer. Anal., 31: 1019- 1044(1994).
20. H. O. Nordmark. Rezoning for Higher Order Vortex Methods. J. Comput. Phys., 97: 366-397 (1991).
21. C. S. Peskin. Numerical Analysis of Blood Flow in the Heart. J. Comput. Phys., 25: 220-252 (1977).
22. J. E. Pilliod and E. G. Puckett. Second Order Volume-of- Fluid Interface Tracking Algorithms. Unpublished manuscript, to be submitted toJ. Comput. Phys. (1996).
23. E. G. Puckett, A. S. Almgren, J. B. Bell, D. L. Marcus, and WJ. Rider. A Second-Order Projection Method for Tracking Fluid Interfaces in Variable Density Incompressible Flows. Submitted to J. Comput. Phys. (1995).
24. M. Sussman, P. Smereka, and S. Osher. A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flows. J. Comput. Phys., 114: 146-159 (1994).
25. Y. C. Chang, T. Y. Hou, B. Merriman, and S. Osher. A Level Set Formulation of Eulerian Interface Capturing Methods for Incompressible Fluid Flows. Unpublished manuscript (1995).
26. S. O. Unverdi and G. Tryggvason. A Front Tracking Method for Viscous, Incompressible Multi-Fluid Flows. J. Comput. Phys., 100: 25-37 (1992).
27. T. Y. Hou, J. S. Lowengrub, and MJ. Shelley. Removing the Stiffness From Interfacial Hows with Surface Tension. J. Comput. Phys., 114: 312-338 (1994).
28. T. L. Williams. An Implicit Surface Tension Model. Masters Thesis, Department of Mechanical Engineering, Memphis State University (1993).
29. C. E. Weatherbura. On Differential Invariants in Geometry of Surfaces, with Some Applications to Mathematical Physics. Quarterly J. Math., 50: 230-269 (1927).
30. E. G. Puckett and J. S. Saltzman. A 3D Adaptive Mesh Refinement Algorithm for Multimaterial Gas Dynamics. PhysicaD, 60: 84-93 (1992).
31. E. G. Puckett A Volume-of-Fluid Interface Tracking Algorithm with Applications to Computing Shock Wave Rarefaction. Proceedings of the 4th International Symposium on Computational Fluid Dynamics, Lake Tahoe, NV, pp. 933-938 (1991).
32. WJ. Rider and D. B. Kothe. Stretching and Tearing Interface Tracking Methods. Technical Report AIAA 95-1717, AIAA (1995). Presented at the 33rd Aerospace Sciences Meeting and Exhibit Reno, NV (1995). See also http: // www. c3. 1anl. gov/~wjoubs. html.
33. D. B. Kothe and WJ. Rider. Comments on Modeling Interfacial Flows with Volume-of-Fluid Methods. Technical Report LA-UR-94-3384, Los Alamos National Laboratory (1994).
34. M Rudman. Vblume Tracking Methods for Interfacial Flow Calculations. Unpublished manuscript, Commonwealth Scientific and Industrial Research Organization (1995).
35. R. S. Hotchkiss. Simulation of Tank Draining Phenomena with NASA SOLA-VOF. Technical Report LA-8163-MS, Los Alamos National Laboratory (1979).
36. D. B. Kothe, et al. Computer Simulation of Metal Casting Processes: A New Approach. Technical Report LALP-95- 197, Los Alamos National Laboratory (1995). See also http: //gnarly. lanl. gov/relluride/Telluride. html.
37. WJ. Rider and D. B. Kothe. A Marker Particle Method for Interface Tracking. Technical Report LA-UR-95-1740, Los Alamos National Laboratory (1995). Proceedings of the 6th International Symposium on Computational Fluid Dynamics, Lake Tahoe, NV, pp. 976-981 (1995).
38. D. B. Kothe and WJ. Rider. Practical Considerations for Interface Tracking Methods. Technical Report LA-UR- 95-1741, Los Alamos National Laboratory (1995). Proceedings of the 6th International Symposium on Computational Fluid Dynamics, Lake Tahoe, NV, pp. 638-643 (1995).
39. D. B. Kothe et al. PAGOSA: A Massively-Parallel, MultiMaterial Hydrodynamics Model for Three-Dimensional High-Speed Flow and High-Rate Deformation. Technical Report LA-UR-92-4306, Los Alamos National Laboratory (1992). Proceedings of the 1993 SCS Simulation Multiconference: High Performance Computing, March (1993).
40. J. Saltzman. Personal Communication, Los Alamos National Laboratory (1994).
41. MJ. Berger and P. Colella. Local Adaptive Mesh Refinement for Shock Hydrodynamics. J. Comput. Phys., 82: 64- 84 (1989).
42. TJ. Barth. Recent Developments in High Order K-Exact Reconstruction on Unstructured Meshes. Technical Report AIAA 93-0668, AIAA (1993). Presented at the 31st Aerospace Sciences Meeting and Exhibit, Reno, NV (1993).
43. W. E. Pracht and J. U. Brackbill. BAAL: A Code for Calculating Three-Dimensional Fluid Flows at All Speeds with an Eulerian-Lagrangian Computing Mesh. Technical Report LA-6342, Los Alamos National Laboratory (1976).
44. BJ. Parker and D. L. Youngs. Two and Three Dimensional Eulerian Simulation of Fluid Flow with Material Interfaces. Technical Report AWE 01/92, Atomic Weapons Establishment (1992). Presented at the Third Zababa- khin Scientific Talks, Kyshtim, Russia (1992).
45. C. Zemach. Notes on the Volume of a Ruled Hexahedron Behind a Truncating Plane. Unpublished Manuscript, Los Alamos National Laboratory (1993).
46. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vet- terling. Numerical Recipes: The Art of Scientific Computing (Cambridge University Press, NY, 1986).
47. P. Colella and P. Woodward. The Piecewise Parabolic Method (PPM) for Gas-Dynamical Simulations. J. Comput. Phys., 54: 174-201 (1984).
48. W. F. Noh and P. R. Woodward. SLIC (Simple Line Interface Method). Lecture Notes in Physics 59. A. I. Van de Vooren and P. J. Zandbergen, editors, pp. 330-340 (1976).
49. D. L. Youngs. Time-Dependent Multi-Material Flow With Large Fluid Distortion. Numerical Methods for Fluid Dynamics. K. W. Morton and M. L. Norman, editors, pp. 187-221 (1986).
50. R. DeBar. Fundamentals of the KRAKEN Code. Technical Report UQR-760, Lawrence Livermore National Laboratory (1974).
51. C. W. Hirt and B. D. Nichols. Volume of Fluid (VOF) Method for the Dynamics of Free Boundaries. J. Comput. Phys., 39: 201-225 (1981).
52. AJ. Chorin. J. Comput. Phys., 35: 1 (1980).
53. PX. Barr and W. T. Ashurst. An Interface Scheme for Turbulent Flame Propagation. Technical Report SAND82- 8773, Sandia National Laboratory (1984).
54. N. Ashgriz and J. Y. Poo. J. Comput. Phys., 93: 449 (1991).
55. Jil Dukowicz. Efficient Volume Computation for ThreeDimensional Hexahedral Cells. J. Comput. Phys., 74: 493- 496 (1988).
56. J. O'Rourke. Computational Geometry in C (Cambridge University Press, NY, 1993).