Data processing: structural design – modeling – simulation – and em – Simulating nonelectrical device or system – Fluid
Reexamination Certificate
2008-03-25
2008-03-25
Rodriguez, Paul (Department: 2123)
Data processing: structural design, modeling, simulation, and em
Simulating nonelectrical device or system
Fluid
C703S002000
Reexamination Certificate
active
10957349
ABSTRACT:
A coupled level set projection method is incorporated into a finite-difference-based ink-jet simulation method to make the simulation easier and faster to run and to decrease the memory requirements. The coupled level set projection method is based on a central difference discretization on uniform rectangular grids. A constructed numerical projection operator, in the form of either a finite difference projection operator or a finite element projection operator, can be used in the central difference scheme, in which case the resulting linear systems can be solved by a multi-grid method. The finite difference projection operator is used when the fluid velocity is located at grid points and the pressure at cell centers, whereas the finite element projection operator is used when the fluid velocity is located at cell centers and the pressure at grid points.
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: 6611736 (2003-08-01), Waite et al.
patent: 2003/0182092 (2003-09-01), Yu et al.
patent: 2004/0181383 (2004-09-01), Yu et al.
Shield et al. “Drop formation by DOD ink-jet nozzles: A comparison of experiment and numerical simulation”; 1987; IBM J. Res. Develop.; pp. 96-110.
Tanaka et al.; “The cubic Interpolated level set method for realistic fluid animation”; 2003; ACM; pp. 1-3.
Chen et al.; “A Simple Level Set Method for Solving Stefan Problems”; 1997; Academic Press; pp. 8-29.
Foster et al.; “Realistic Animation of Liquids”; 1996; University of Pennsylvania; pp. 1-24.
Yu, J., et al., “A Coupled Level Projection Method Applied to Ink Jet Simulation”, Interfaces and Free Boundaries, vol. 5, No. 4, 2003, pp. 459-482.
“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.
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