Visualizing unstructured flow data using dual stream functions

IEEE Transactions on Visualization and Computer Graphics

Volumn 2, Issue 4, 1996, Pages 355-363

  Knight, David ^a   Mallinson, Gordon ^a  

^a Numerical Algorithms Group   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DATA STRUCTURES; FLOW VISUALIZATION; INTEGRATION;

DUAL STREAM FUNCTIONS; UNSTRUCTURED TETRAHEDRAL MESH;

COMPUTATIONAL FLUID DYNAMICS;

EID: 0030385194     PISSN: 10772626     EISSN: None     Source Type: Journal    
DOI: 10.1109/2945.556503     Document Type: Article

References (24)

1. S.B. Beale, "A Numerical Scheme for the Generation of Streamlines in Three Dimensions," Proc. CFD 93, pp. 289-300. The CFD Soc. of Canada, 1993.
2. P. Buning, "Sources of Error in the Graphical Analysis of CFD Results," J. Scientific Computing, vol. 3, no. 2, pp. 149-164,1988.
3. D. Darmofal and R. Haimes, "Visualisation of 3D Vector Fields: Variations on a Stream," AIAA Paper 92-0074,1992.
4. D.L. Darmofal and R. Haimes, "An Analysis of 3-D Particle Path Integration Algorithms," AIAA Paper 95-1713,1995.
5. R. Gallagher and J. Nagtegaal, "An Efficient 3D Visualisation Technique for Finite Element Models and Other Coarse Volumes," Computer Graphics, vol. 23, no. 3, pp. 185-194, July 1989.
6. M.S. Greywall, "Streamwise Computation of Three-Dimensional Flows Using Two Stream Functions," J. Fluids Eng., vol. 115, pp. 233238,1993.
7. D.C. Handscomb, "Spline Representation of Incompressible Flow," IMA J. Numerical Analysis, vol. 4, pp. 491-502,1984.
8. D.C. Handscomb, "Interpolation and Differentiation of Multivariate Functions and Interpolation of Divergence-Free Vector Fields Using Surface Splines," Technical Report 91/5, Oxford Univ. Computing Laboratory, 1991.
9. J.P.M. Hultquist, "Constructing Stream Surfaces in Steady 3D Vector Fields," Visualization '92, A.E. Kaufmann and G.M. Nielson, eds., pp. 171-177,1992.
10. Visualization '92, A.E. Kaufmann and G.M. Nielson, eds. IEEE CS Press, 1992.
11. D. Kenwright, "Dual Stream Function Methods for Generating Three-Dimensional Stream Lines," PhD thesis, Univ. of Auckland, 1993.
12. D. Kenwright and G. Mallinson, "A 3-D Streamline Tracking Algorithm Using Dual Stream Functions," Visualization '92, A.E. Kaufmann and G.M. Nielson, eds., pp. 62-68,1992.
13. D.N. Kenwright and D.A. Lane, "Optimisation of Time-Dependent Particle Tracing Using Tetrahedral Decomposition," Proc. Visualization '95, G.M. Nielson and D. Silver, eds., pp. 321-328,1995.
14. K. Koyomada, "Volume Visualisation for Unstructured Grid Data," Visualization '92, A.E. Kaufmann and G.M. Nielson, eds., pp. 156-163,1992.
15. J.L. Lagrange, "Mémoire sur lat théorie du mouvement des fluides," Nouv. Mem. Acad. Berlin, p. 720,1781.
16. G.D. Mallinson, "The Calculation of the Lines of a Three Dimensional Vector Field," Computation Fluid Mechanics, G. de Vahl Davies and C. Fletcher, eds., pp. 525-534. North Holland, 1988.
17. G.D. Mallinson and D.N. Kenwright, "Application of Dual Stream Functions to the Visualisation of Three Dimensional Fluid Motion," Proc. llth Australasian Fluid Mechanics CoJ., M.R. Davis and G.J. Walker, eds., pp. 483-486,1992.
18. A. Sadarjoen, T. van Walsum, A.J.S. Hin, and F.H. Post, "Particle Tracing Algorithms for 3D Curvilinear Grids," Technical Report 94-80, Delft Univ. of Technology, 1994.
19. A. Shérif and M. Hafez, "Computation of Three-Dimensional Transonic Flows Using Two Stream Functions," Int'l}. Numerical Method Fluids, vol. 8, pp. 17-29,1988.
20. S.K. Ueng, K. Sikorski, and K.-L. Ma, "Fast Algorithms for Visualizing Fluid Motion in Steady Flow on Unstructured Grids," Proc. Visualization '95, G.M. Nielson and D. Silver, eds., pp. 313320,1995.
21. J. Van Wijk, "Rendering Surface Particles," Visualization '92, A.E. Kaufmann and G.M. Nielson, eds., pp. 54-61,1992.
22. J. Van Wijk, "Implicit Stream Surfaces," Proc. Visualization '93, G.M. Nielson and D. Bergeron, eds., pp. 245-252,1993.
23. P.K. Yeung and S.B. Pope, "An Algorithm for Tracking Fluid Particles in Numerical Simulations of Homogeneous Turbulence," J. Computational Physics, vol. 79, pp. 373-416,1988.
24. C.S. Yih, "Stream Functions in Three Dimensional Flows," La Houlle Blanche, vol. 3, pp. 445-450,1957.