A coupled quadrilateral grid level set projection method applied to ink jet simulation

Journal of Computational Physics

Volumn 206, Issue 1, 2005, Pages 227-251

  Yu, Jiun Der ^a   Sakai, Shinri ^b   Sethian, James ^c  

^a Epson Research and Development Inc ^*  (United States)

^b SEIKO EPSON CORPORATION   (Japan)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DROP BREAKUP; INK; INK JET PRINTING; LEVEL MEASUREMENT; NAVIER STOKES EQUATIONS; NUMERICAL METHODS; SPRAY NOZZLES; TWO PHASE FLOW;

AIR-COUPLED; DENSITY JUMPS; GRID LEVELS; INK JET; JET SIMULATION; LEVEL SET; NAVIER-STOKES EQUATION; PIEZOELECTRIC INK JETS; PROJECTION METHOD; TWO PHASES FLOW;

AIR;

EID: 77953687970     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2004.12.012     Document Type: Article

References (33)

1. I.D. Aleinov, E.G. Puckett, M. Sussman, Formation of droplets in microscale jetting devices, in: Proceedings of ASME FEDSM'99, San Francisco, California, July 18-23, 1999.
2. Ann S. Almgren, John B. Bell, William G. Szymczak, A numerical method for the incompressible Navier-Stokes equations based on an approximate projection, SIAM J. Sci. Comput. 17 (2) (1996) 358-369.
3. Ann S. Almgren, John B. Bell, Philip Colella, Tyler Marthaler, A Cartesian grid projection method for the incompressible Euler equations in complex geometries, SIAM J. Sci. Comput. 18 (5) (1997) 1289-1309.
4. Ann S. Almgren, John B. Bell, William Y. Crutchfield, Approximate projection methods: Part I. Inviscid analysis, SIAM J. Sci. Comput. 22 (4) (2000) 1139-1159.
5. John B. Bell, Jay M. Solomon, William G. Szymczak, A projection method for viscous incompressible flow on quadrilateral grids, AIAA J. 32 (10) (1994) 1961-1969.
6. John B. Bell, Phillip Colella, Harland M. Glaz, A second-order projection method for the incompressible Navier-Stokes equations, J. Comput. Phys. 85 (2) (1989) 257-283.
7. John B. Bell, Daniel L. Marcus, A second-order projection method for variable-density flows, J. Comput. Phys. 101 (1992) 334-348.
8. Y.C. Chang, T.Y. Hou, B. Merriman, S. Osher, A level set formulation of Eulerian interface capturing methods for incompressible fluid flows, J. Comput. Phys. 124 (1996) 449-464.
9. David L. Chopp, Some improvements of the Fast Marching Method, SIAM J. Sci. Comput. 23 (1) (2001) 230-244.
10. Alexandre J. Chorin, Numerical solution of the Navier-Stokes equations, Math. Comput. 22 (1968) 745-762.
11. Phillip Colella, A direct Eulerian MUSCL scheme for gas dynamics, SIAM J. Sci. Stat. Comput. 6 (1) (1985) 104-117.
12. Phillip Colella, Multidimensional upwind methods for hyperbolic conservation laws, SIAM J. Sci. Stat. Comput. 87 (1990) 171-200.
13. M. Griebel, T. Dornseifer, T. Neunhoeffer, Numerical Simulation in Fluid Dynamics: A Practical Introduction, SIAM, 1998, pp. 45-49.
14. T. Hashimoto, M. Ishida, T. Shimoda, Observation of ink droplet landing using high speed camera (in Japanese), Abstract of the 50th Spring Meeting of Japan Society of Applied Physics, 2003.
15. R. Kimmel, James A. Sethian, Computing geodesic paths on manifolds, Proc. Nat. Acad. Sci. 95 (1998) 8431-8435.
16. Stanley Osher, James A. Sethian, Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations, J. Comput. Phys. 79 (1988) 12-49.
17. Elbridge G. Puckett, Ann S. Almgren, John B. Bell, Daniel L. Marcus, William J. Rider, A high-order projection method for tracking fluid interfaces in variable density incompressible flows, J. Comput. Phys. 130 (1997) 269-282.
18. S. Sakai, Dynamics of piezoelectric inkjet printing systems, Proc. IS&T NIP 16 (2000) 15-20.
19. James A. Sethian, An analysis of flame propagation, Ph.D. Dissertation, Department of Mathematics, University of California, Berkeley, CA, 1982.
20. James A. Sethian, Curvature and the evolution of fronts, Commun. Math. Phys. 101 (1985) 487-499.
21. James A. Sethian, in: P. Concus, R. Finn. (Eds.), Numerical Methods for Propagating Fronts in Variational Methods for Free Surface Interfaces, Springer-Verlag, New York, 1987.
22. James A. Sethian, A fast marching level set method for monotonically advancing fronts, Proc. Nat. Acad. Sci. 93 (4) (1996) 1591-1595.
23. James A. Sethian, Level set methods and Fast Marching Methods, second ed., Cambridge University Press, Cambridge. MA, 1999.
24. James A. Sethian, A. Vladimirsky, Fast methods for the Eikonal and related Hamilton-Jacobi equations on unstructured meshes, Proc. Nat. Acad. Sci. 97 (May 23) (2000) 5699-5703.
25. J.A. Sethian, A. Vladimirsky, Ordered upwind methods for static Hamilton-Jacobi equations: theory and algorithms, SIAM Numer. Anal. 41 (1) (2003) 325-363.
26. Akira Sou, Kosuke Sasai, Tsuyoshi Nakajima, Interface tracking simulation of ink jet formation by electrostatic force, in: Proceedings of ASME FEDSM'01, New Orleans, Louisiana, May 29-June 1, 2001.
27. Mark Sussman, Peter Smereka, Stanley Osher, Axisymmetric free boundary problems, J. Comput. Phys. 114 (1994) 146-159.
28. Mark Sussman, Peter Smereka, Axisymmetric free boundary problems, J. Fluid Mech. 341 (1997) 269-294.
29. Mark Sussman, Ann S. Almgren, John B. Bell, Phillip Colella, Louis H. Howell, Michael L. Welcome, An adaptive level set approach for incompressible two-phase flow, J. Comput. Phys. 148 (1999) 81-124.
30. J.N. Tsitsiklis, Efficient algorithms for globally optimal trajectories, IEEE Trans. Automatic Control 40 (1995) 1528-1538.
31. David P. Trebotich, Phillip Colella, A projection method for incompressible viscous flow on moving quadrilateral grids, J. Comput. Phys. 166 (2001) 191-217.
32. Jiun-Der Yu, Shinri Sakai, James A. Sethian, A coupled level set projection method applied to ink jet simulation, Interfaces and Free Boundaries 5 (2003) 459-482.
33. Jingyi Zhu, James Sethian, Projection methods coupled to level set interface techniques, J. Comput. Phys. 102 (1992) 128-138.