Data processing: measuring – calibrating – or testing – Measurement system – Dimensional determination
Reexamination Certificate
2007-12-17
2009-08-18
Dunn, Drew A (Department: 2863)
Data processing: measuring, calibrating, or testing
Measurement system
Dimensional determination
Reexamination Certificate
active
07577547
ABSTRACT:
A system and method for automatically generating a computation mesh for use with an analytical tool, the computation mesh having a plurality of ξ-grid lines and η-grid lines intersecting at grid points positioned with respect to an inner boundary and an outer boundary. The method includes receiving from a user information corresponding to a shape to be analyzed using the analytical tool and solving one or more mesh equation for a plurality of point locations, the one or more mesh equations depending on a source Jacobian scaling parameter that is not equal to 2.
REFERENCES:
patent: 5903458 (1999-05-01), Stewart et al.
patent: 5991526 (1999-11-01), Igarashi
patent: 6356860 (2002-03-01), Barnette
patent: 6804635 (2004-10-01), Dhondt
patent: 6876956 (2005-04-01), Cirak et al.
patent: 2001/0041971 (2001-11-01), Syo
patent: 2002/0029135 (2002-03-01), Hollig et al.
patent: 2002/0167518 (2002-11-01), Migdal et al.
patent: 2004/0034514 (2004-02-01), Langemyr et al.
patent: 2006/0212278 (2006-09-01), Hirai
patent: 2006/0277008 (2006-12-01), Suresh
patent: 2008/0143717 (2008-06-01), Subramaniam
patent: 2008/0147351 (2008-06-01), Subramaniam
patent: 2008/0147758 (2008-06-01), Subramaniam
Beader, Jim, “Computational Fluid Dynamics”, Class Handouts, University of Maryland, Spring 2005.
Sorenson, Resse L., “A Computer Program to Generate Two-Dimension Grids About Airfoils and Other Shapes by the Use of Poisson's Equation”, NASA Technical Memorandum, May 1980.
White, J. A. AIAA 90-1568, “Elliptic Grid Generation With Orthogonality And Spacing Control On An Arbitrary Number Of Boundaries”, AIAA 21st Fluid Dynamics, Plasma Dynamics and Lasers Conference, Seattle, WA, pp. 1-13, Jun. 1990.
Christov, C. I., “Orthogonal Coordinate Meshes with Manageable Jacobian”, Numerical Grid Generation, Ed. Joe F. Thompson, Elsevier Science Publishing Company, Inc., p. 885-894 (1982).
Eiseman, Peter R., “Automatic Algebraic Coordinate Generation”, Numerical Grid Generation, Ed. Joe F. Thompson, Elsevier Elsevier Science Publishing Company, Inc., p. 447-463 (1982).
Gordon, William J., “Transfinite Mappings and Their Application to Grid Generation”, Numerical Grid Generation, Ed. Joe F. Thompson, Elsevier Science Publishing Company, Inc., p. 171-233 (1982).
Halsey, Douglas, “Conformal Grid Generation for Multielement Airfoils”, Numerical Grid Generation, Ed. Joe F. Thompson, Elsevier Science Publishing Company, Inc., p. 585-600 (1982).
Smith, Robert E., “Algebraic Grid Generation”, Numerical Grid Generation, Ed. Joe F. Thompson, Elsevier Science Publishing Company, Inc., p. 137-170 (1982).
Ives, David C., “Conformal Grid Generation”, Numerical Grid Generation, Ed. Joe F. Thompson, Elsevier Science Publishing Company, Inc., p. 107-135 (1982).
Thompson, Joe F., “Elliptic Grid Generation”, Numerical Grid Generation, Ed. Joe F. Thompson, Elsevier Science Publishing Company, Inc., p. 79-105 (1982).
Thompson, Joe F., “General Curvilinear Coordinate Systems”, Numerical Grid Generation, Ed. Joe F. Thompson, Elsevier Science Publishing Company, Inc., p. 1-30 (1982).
Kerlick, G. David, “Assessing the Quality of Curvilinear Coordinate Meshes”, Numerical Grid Generation, Ed. Joe F. Thompson, Elsevier Science Publishing Company, Inc., p. 787-807 (1982).
Mastin, C. Wayne, “Error Induced By Coordinate Systems”, Numerical Grid Generation, Ed. Joe F. Thompson, Elsevier Science Publishing Company, Inc., p. 31-40 (1982).
Shubin, G.R., “Three Dimensional Grid Generation Using Biharmonics”, Numerical Grid Generation, Ed. Joe F. Thompson, Elsevier Science Publishing Company, Inc., p. 761-774 (1982).
Sorenson, Reese L., “Grid Generation By Elliptic Partial Differential Equations for a Tri-Element Augmentor-Wing Airfoil”, Numerical Grid Generation, Ed. Joe F. Thompson, Elsevier Science Publishing Company, Inc., p. 653-665 (1982).
Steger, Joseph L., “On Application of Body Conforming Curvilinear Grids for Finite Difference Solution of External Flow”, Numerical Grid Generation, Ed. Joe F. Thompson, Elsevier Science Publishing Company, Inc., p. 295-316 (1982).
Thames, Frank C., “Generation of Three-Dimensional Boundary-Fitted Curvilinear Coordinate Systems for Wing/Wing-tip Geometries Using the Elliptic Solver Method”, Numerical Grid Generation, Ed. Joe F. Thompson, Elsevier Science Publishing Company, Inc., p. 695-716 (1982).
Thomas, P. D., “Numerical Generation of Composite Three Dimensional Grids”, Numerical Grid Generation, Ed. Joe F. Thompson, Elsevier Science Publishing Company, Inc., p. 667-686 (1982).
Warsi, U. A., “Basic Differential Models for Coordinate Generation”, Numerical Grid Generation, Ed. Joe F. Thompson, Elsevier Science Publishing Company, Inc., p. 41-77 (1982).
Roache, Patrick J., “Application of a Single-Equation MG-FAS Solver to Elliptic Grid Generation Equations (Subgrid and Supergrid Coefficient Generation)”, Applied Mathematics and Computation, Elsevier Science Publishing Company, Inc., vol. 19, pp. 238-292 (1986).
Warsi, Z. U. A., “A Synopsis of Elliptic PDE Models for Grid Generation”, Applied Mathematics and Computation, Elsevier Science Publishing Company, Inc., vol. 21, pp. 293-311 (1987).
Soni, B. K., “The Enhancement of an Elliptic Grid Using Appropriate Control Functions”, Applied Mathematics and Computation, Elsevier Science Publishing Company, Inc., vol. 159, pp. 809-821 (2004).
Soni, B. K., “Elliptic Grid Generation System: Control Functions Revisited—I”, Applied Mathematics and Computation, Elsevier Science Publishing Company, Inc., vol. 59, pp. 151-163 (1993).
Conti, Costanza, “An Algebraic-Elliptic Algorithm for Boundary Orthogonal Grid Generation”, Applied Mathematics and Computation, Elsevier Science Publishing Company, Inc., vol. 162, pp. 15-27 (2005).
Bourchtein, Andrei, “On Generation of Orthogonal Grids”, Applied Mathematics and Computation, Elsevier Science Publishing Company, Inc., vol. 173, pp. 767-781 (2006).
Soni, Bharat K., “Grid Generation: Past, Present and Future”, Applied Numerical Mathematics, vol. 32, pp. 361-369 (2000).
Barrera-Sanchez, Pablo,“Some Experiences on Orthogonal Grid Generation”, Applied Numerical Mathematics, vol. 40, pp. 179-190 (2002).
Eiseman, Peter R., “Grid Generation for Fluid Mechanics Computations”, Annual Reviews Fluid Mechanics, vol. 17, pp. 487-522 (1985).
Chima, R. V., “Comparison of the AUSM+ and H-CUSP Schemes for Turbomachinery Applications”, NASA Glenn Research Center, available at http://gltrs.grc.nasa.gov/reports/2603/TM-2003-212457.pdf. Last visited on Feb. 9, 2009.
Khattri. S. K., 2006d. “Adaptive Quadrilateral Mesh in Curved Domains”, available at http:/www.mi.uib.no/˜sanjay/RESEARCH—/ELLIPTIC—GRID—/Documentation—/Main—MS.pdf.
Kawata, S., “Grid Generation with Orthogonality and Uniformity of Line-Spacing Changing Ratio”, Computer Physics Communications, vol. 94, pp. 19-24 (1996).
Lin, Kai-Lung, “Two-Dimensional Orthogonal Grid Generation Techniques”, Computers & Structures, vol. 41, No. 4, pp. 569-583 (1991).
Hilgenstock, A., “A Fast Method for the Elliptic Generation of Three-Dimensional Grids with Full Boundary Control”, Numerical Grid Generation in Computational Fluid Mechanics '88, Pineridge Press Limited, pp. 137-146 (1988).
Brakhage, Karl-Heinz, “Algebraic-Hyperbolic Grid Generation with Precise Control of Intersection of Angles”, International Journal for Numerical Methods in Fluids, vol. 33, pp. 89-123 (2000).
Zhou, Quanbao, “A Simple Grid Generation Method”, International Journal for Numerical Methods in Fluids, vol. 26, pp. 713-724 (1998).
Beale, S. B., “A Finite Volume Method for Nume
Cherry Stephen J
Concepts ETI, Inc.
Downs Rachlin & Martin PLLC
Dunn Drew A
LandOfFree
Jacobian scaling parameter system and method for automatic... does not yet have a rating. At this time, there are no reviews or comments for this patent.
If you have personal experience with Jacobian scaling parameter system and method for automatic..., we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Jacobian scaling parameter system and method for automatic... will most certainly appreciate the feedback.
Profile ID: LFUS-PAI-O-4074974