Mass conserving algorithm for solving a solute advection...

Data processing: structural design – modeling – simulation – and em – Simulating nonelectrical device or system – Fluid

Reexamination Certificate

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Reexamination Certificate

active

07930155

ABSTRACT:
The present invention is directed towards systems and methods for simulating and analyzing a change in concentration of solute in a solution. The solution being simulated is encompassed by an interface. The concentration at a first point in time is determined at a set of nodes encompassed by the interface. A spatial cell is associated with each node. An extended concentration is calculated at an extended node. The extended node is not encompassed by the interface. The concentration is calculated at a second point in time at a set of nodes encompassed by the interface, based upon the concentration at the set of nodes encompassed by the interface at the first point in time and the extended concentration.

REFERENCES:
patent: 6271856 (2001-08-01), Krishnamurthy
patent: 6574650 (2003-06-01), Aoki
patent: 6810370 (2004-10-01), Watts, III
patent: 6906458 (2005-06-01), Kobayashi
patent: 7006088 (2006-02-01), Guskov et al.
patent: 7085695 (2006-08-01), Yu et al.
patent: 7117138 (2006-10-01), Yu et al.
patent: 7359841 (2008-04-01), Hixon
patent: 7478023 (2009-01-01), Yu
patent: 2002/0046014 (2002-04-01), Kennon
patent: 2004/0181383 (2004-09-01), Yu et al.
patent: 2004/0181384 (2004-09-01), Yu
patent: 2005/0243117 (2005-11-01), Yu
patent: 2006/0000081 (2006-01-01), Kondo
patent: 2006/0044506 (2006-03-01), Kida et al.
patent: 2007/0051958 (2007-03-01), Yamazaki et al.
patent: 2007/0073527 (2007-03-01), Flandrin et al.
patent: 2007/0109606 (2007-05-01), Nagae
patent: 2007/0136042 (2007-06-01), Yu
patent: 2010/0121616 (2010-05-01), Schick et al.
patent: 2010/0121620 (2010-05-01), Schick et al.
patent: 0980048 (2003-10-01), None
patent: 2003-186918 (2003-07-01), None
patent: 2006-318481 (2006-11-01), None
Di, et al., “Level Set Calculations for Incompressible Two-Phase Flows on a Dynamically Adaptive Grid”, Oct. 10, 2006, pp. 1-24.
Deegan, Robert D., et al., “Contact Line Deposits in an Evaporating Drop”, Physical Review E, 62(1):756-765, Jul. 2000, The American Physical Society, College Park, MD.
Deegan, Robert D., et al., “Capillary Flow as the Cause of Ring Stains from Dried Liquid Drops”, Nature, 389 (23):827-829, Oct. 1997, Nature Publishing Group, London, United Kingdom.
Deegan, Robert D., “Pattern Formation in Drying Drops”, Physical Review E, 61(1):475-485, Jan. 2000, The American Physical Society, College Park, MD.
Van Dam, Dirkjan B., “Layer Thickness Distribution of Thin-Film Ink-Jet Printed Structures”, XXI International Congress of Theoretical and Applied Mechanics, Aug. 15-21, 2004, Warsaw, Poland.
Xu, Jun, et al., “Self-Assembly of Gradient Concentric Rings via Solvent Evaporation from a Capillary Bridge”, Physical Review Letters, 96(06):066104, Feb. 17, 2006, The American Physical Society, College Park, MD.
Shepel, Sergey V., et al., “Implementation of a Level Set Interface Tracking Method in the FIDAP and CFX-4 Codes”, Journal of Fluids Engineering, vol. 127(4):674-686, Jul. 2005, ASME International, New York, NY.
Yamaue, Tatsuya, et al., “The Modeling and Simulation of Dot Formation Kinetics in the Drying Process of Polymer Solution Drop”, Proceedings of Third International Conference on Multiscale Materials Modeling, 953-956, Sep. 18, 2006, Fraunhofer Institute for Mechanics of Materials IWM, Freiburg, Germany.
Little, Jeffery K., “Simulation of Droplet Evaporation in Supercritical Environments Using Parallel Molecular Dynamics”, Thesis, Aug. 1996, Pennsylvania State University, Department of Aerospace Engineering, University Park, PA.
J. A. Sethian, “Level Set Methods and Fast Marching Methods,” Cambridge University Press, New York, N.Y., 1999, p. 9.
Osher, S., et al., “Level Set Methods”, Feb. 25, 2000, pp. 1-61.
Tryggvason, G., et al., “A Front-Tracking Method for the Computations of Multiphase Flow”, Journal of Computational Physics 169, Jan. 5, 2001, pp. 708-759.
Osher, S., et al., “Fronts Propagating with Curvature Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulations”, Journal of Computational Physics, 79, pp. 12-49, 1988.
Osher, S., et al., “Level Set Methods: An Overview and Some Recent Results”, Sep. 5, 2000, pp. 1-65.
Proceedings of MMM Third International Conference Multiscale Materials Modeling, Symposium 8 Multiscale Simulation Approaches for Static and Dynamic Properties of Macromolecular Materials, Sep. 18-22, 2006, pp. 921-927; 928-931; 953-956.
G. Tryggvason, et al., “A Front Tracking Method for the Computations of Multiphase Flow”, Feb. 2001, pp. 1-58.

LandOfFree

Say what you really think

Search LandOfFree.com for the USA inventors and patents. Rate them and share your experience with other people.

Rating

Mass conserving algorithm for solving a solute advection... does not yet have a rating. At this time, there are no reviews or comments for this patent.

If you have personal experience with Mass conserving algorithm for solving a solute advection..., we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mass conserving algorithm for solving a solute advection... will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFUS-PAI-O-2646788

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.