Data processing: structural design – modeling – simulation – and em – Simulating nonelectrical device or system – Fluid
Reexamination Certificate
2006-10-03
2006-10-03
Shah, Kamini (Department: 2128)
Data processing: structural design, modeling, simulation, and em
Simulating nonelectrical device or system
Fluid
C073S861000, C073S488000, C702S012000, C702S100000
Reexamination Certificate
active
07117138
ABSTRACT:
Methods for finite-difference-based inkjet simulation enable more precise control of ink droplet size and shape. A discrete transformation (mapping) is constructed so that a quadrilateral grid in physical space is transferred to the uniform square grid in a computational space. Since the grid in the computational space is square, numerical finite difference differentiation can be easily done. Governing partial differential equations, including a viscosity term, a surface tension term, and a level set convection equation for two-phase flows, are derived on the quadrilateral grid and then transformed to the computational space for application on the uniform square grid. A stable and powerful numerical algorithm is developed to solve the derived and transformed equations to enable finite-difference-based ink-jet simulation.
REFERENCES:
patent: 4797842 (1989-01-01), Nackman et al.
patent: 5459498 (1995-10-01), Seccombe et al.
patent: 5657061 (1997-08-01), Seccombe et al.
patent: 5989445 (1999-11-01), Wise et al.
patent: 6161057 (2000-12-01), Nakano
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: 2002/0046014 (2002-04-01), Kennon
patent: 2002/0107676 (2002-08-01), Davidson
patent: 2002/0177986 (2002-11-01), Moeckel et al.
patent: 2003/0105614 (2003-06-01), Langemyr et al.
patent: 2004/0006450 (2004-01-01), Hale
patent: 2004/0034514 (2004-02-01), Langemyr et al.
patent: 2005/0114104 (2005-05-01), Friedl et al.
David Arney, Joseph Flaherty□□An Adaptive Mesh-Moving and Local Refinement Method for Time-Dependent Partial Differential Equations□□ACM Transaction on Mathematical Software, vol. 16, No. 1, Mar. 1990, pp. 48-71.
Marek Machura, Roland Sweet□□A Survey of Software for Partial Differential Equations.□□ACM Transaction on Mathematical Sofware, vol. 6, No. 4, Dec. 1980, pp. 461-488□□.
“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
Luu Cuong Van
Seiko Epson Corporation
Shah Kamini
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