Three dimensional hyperbolic grid generation using neural network controlled governing equations

34th Aerospace Sciences Meeting and Exhibit

Volumn , Issue , 1996, Pages

  Rodi, Patrick E ^a  

^a NONE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AEROSPACE ENGINEERING; CARBON DIOXIDE ARC WELDING; NEURAL NETWORKS;

ARC LENGTH; CONCAVE GEOMETRY; GOVERNING EQUATIONS; GRID GENERATION; NETWORK-CONTROLLED; NEW APPROACHES; ORTHOGONALITY;

MESH GENERATION;

EID: 85085407549     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.1996-28     Document Type: Conference Paper

References (12)

1. Thompson, J.F., Thames, F.C. and Mastin, C.W., "Boundary-Fitted Curvilinear Coordinate Systems for Solutions of Partial Differential Equations on Fields Containing any Number of Arbitrary Two-Dimensional Bodies," NASA CR-2729, July 1977.
2. Steger, J.L. and Sorenson, R.L., "Automatic Mesh-Point Clustering Near a Boundary in Grid Generation with Elliptic Partial Differential Equations," Journal of Computational Physics, Vol. 33, 1979.
3. Steger, J.L. and Sorenson, R.L., "Use of Hyperbolic Partial Differential Equations to Generate Body Fitted Coordinates," NASA CP-2166, 1980.
4. Hoffman, K.A., Rutledge, W.H. and Rodi, P.E., "Hyperbolic Grid Generation Techniques For Blunt Body Configurations," presented at The 2nd Annual Numerical Grid Generation in Computational Fluid Dynamics Conference, Miami, Florida, December 1988 and in Numerical Grid Generation in Computational Fluid Dynamics, Pineridge Press, 1988.
5. Dwyer, H.A., "A Geometric Interpretation of Hyperbolic Grid Generation," ALAA Paper 94-0315, January 1994.
6. Stager, J.L. and Rizk, Y.M., "Generation of ThreeDimensional Body-Fitted Coordinates Using Hyperbolic Partial Differential Equations," NASA TM 86753, 1985.
7. Rodi, P.E., "An Extension of the New Arc-Length/Orthogonality Hyperbolic Grid Generator to Three Dimensions," AIAA Paper 90-0131, January 1990.
8. Chan, W.M. and Steger, J.L., "A Generalized Scheme for Three-Dimensional Hyperbolic Grid Generation," AIAA Paper 91-1588, June 1991.
9. Rodi, P.E., "Neural Network Control of Hyperbolic Grid Generation in Regions of Concave Curvature," AIAA Paper CP-95-1759, June 1995.
10. Homik, K, Stinchombe, M., and White, H., "Multilayer Feed-forward Networks Are Universal Approximators," Neural Networks, Vol. 2, No. 5. pp. 359-366, 1989.
11. White, H., "Neural Network Learning and Statistics," Al Expert, 48-52, December 1989.
12. Werbos, P.J., "Beyond Regression: New Tools for Prediction and Analysis in the Behavior Sciences," Ph.D. Dissertation in Statistics, Harvard University, August 1974.