Data processing: structural design – modeling – simulation – and em – Simulating nonelectrical device or system – Fluid
Reexamination Certificate
2006-08-01
2006-08-01
Shah, Kamini (Department: 2128)
Data processing: structural design, modeling, simulation, and em
Simulating nonelectrical device or system
Fluid
C703S006000, C703S013000
Reexamination Certificate
active
07085695
ABSTRACT:
A macroscopic physical model simulates and analyzes ink ejection from a piezoelectric print head. The model handles the slipping contact line problem and introduces a mass-conservative finite difference implementation using the level set method. First, the critical angle approach is adopted. The triple point is allowed to move if the critical angle is exceeded. Second, the no-slip boundary condition in the neighborhood of the triple point is relaxed and substituted by the free-slip boundary condition. Third, to allow the triple point to quickly accelerate when the critical angle is exceeded, an extra surface tension is added as a body force term in the governing equation. Fourth, the level set method is adopted to implement the slipping contact line model. Finally the above idea is incorporated in a fluid solver based on the higher-order projection method.
REFERENCES:
patent: 6179402 (2001-01-01), Suzuki et al.
patent: 6257143 (2001-07-01), Iwasaki et al.
patent: 6283568 (2001-09-01), Horii et al.
patent: 6315381 (2001-11-01), Wade et al.
patent: 6322186 (2001-11-01), Shimizu et al.
patent: 6322193 (2001-11-01), Lian et al.
patent: 6579724 (2003-06-01), Woodward
patent: 09-323431 (1997-12-01), None
Miller, “Improvements in Computing Multiple Phase Flows”, Dissertation, Doctor of Philosophy in Mathematics, University of California, Los Angeles, 1998, pp. 1-53.
Rivkind et al., “On Nonsymmetric Two-dimensional Viscous Flow through an Aperture”, http://citeseer.ist.psu.edu/141663.html, 1998, pp. 1-26.
Sussman et al., “An Adaptive Level Set Approach for Incompressible Two-Phase Flows”, Journal of Computational Physics, 1998, pp. 1-44.
Meinhart et al., “The Flow Structure Inside a Microfabricated Inkjet Printhead”, Journal of Microelectromechanical Systems, vol. 9, Issue 1, Mar. 2000, pp. 67-75.
“Projection Method for Viscous Incompressible Flow on Quadrilateral Grids”, John B. Bell, et al., AIAA Journal, vol. 32, No. 10, Oct. 1994, pp. 1961-1969.
“A Second-Order Projection Method for the Incompressible Navier-Stokes Equations”, John B. Bell, et al., Journal of Computational Physics, vol. 85, No. 2, Dec. 1989, pp. 257-283.
“Computing Minimal Surfaces via Level Set Curvature Flow”, David L. Chopp, Mathematics Department, University of California, Berkeley, California, Journal of Computational Physics 106, pp. 77-91, 1993.
“Fronts Propagating with Curvature-Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulations”, Stanley Osher, Department of Mathematics, University of California, Los Angeles and James A. Sethian, Department of Mathematics, University of California, Berkeley, California, Journal of Computational Physics 79, pp. 12-49, 1988.
“A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow”, Mark Sussman, et al., Department of Mathematics, University of California, Los Angeles, California, Journal of Computational Physics 114, pp. 146-159, 1994.
“A Projection Method for Incompressible Viscous Flow on Moving Quadrilateral Grids”, David P. Trebotich, Department of Mechanical Engineering, University of California, Berkeley, California and Phillip Colella, Applied Numerical Algorithms Group, Lawrence Berkeley National Laboratory, Berkeley, California, Journal of Computational Physics 166, pp. 191-217, 2001.
“A Second-Order Projection Method for Variable-Density Flows”, John B. Bell, et al., Lawrence Livermore National Laboratory, Livermore, California, Journal of Computational Physics 101, pp. 334-348, 1992.
Sakai Shinri
Yu Jiun-Der
Day Herng-der
Gabrik Michael T.
Shah Kamini
LandOfFree
Slipping contact line model and the mass-conservative level... does not yet have a rating. At this time, there are no reviews or comments for this patent.
If you have personal experience with Slipping contact line model and the mass-conservative level..., we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Slipping contact line model and the mass-conservative level... will most certainly appreciate the feedback.
Profile ID: LFUS-PAI-O-3694590