Filament-based smoke with vortex shedding and variational reconnection

ACM Transactions on Graphics

Volumn 29, Issue 4, 2010, Pages

  Weißmann, Steffen ^a   Pinkall, Ulrich ^a  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

Fluid simulation; Panel method; Vortex filaments; Vortex reconnection; Vortex shedding

Indexed keywords

FLUID FLOW; FLUID SIMULATIONS; FULL CONTROL; LONG TIME BEHAVIOR; MOVING OBSTACLES; PANEL METHODS; REAL-TIME APPLICATION; VORTEX FILAMENT; VORTEX RECONNECTION;

COMPUTATIONAL COMPLEXITY; FLOW OF FLUIDS; FLUIDS; SPECIAL EFFECTS; VIRTUAL REALITY; VORTEX SHEDDING;

FILAMENTS (LAMP);

EID: 77956357586     PISSN: 07300301     EISSN: 15577368     Source Type: Journal    
DOI: 10.1145/1778765.1778852     Document Type: Article

References (50)

1. ANGELIDIS, A., AND NEYRET, F. 2005. Simulation of Smoke based on Vortex Filament Primitives. In Proc. Symp. Comp. Anim., 87-96.
2. ANGELIDIS, A., NEYRET, F., SINGH, K., AND NOWROUZEZAHRAI, D. 2006. A controllable, fast and stable basis for vortex based smoke simulation. In Proc. Symp. Comp. Anim., 25-32.
3. ANGELIDIS, A. 2004. Hexanions: 6d Space for Twists. Tech. rep., University of Otago, November.
4. BECKER, M., AND TESCHNER, M. 2007. Weakly compressible SPH for free surface flows. In Proc. Symp. Comp. Anim., 209-217.
5. BERNARD, P. S. 2006. Turbulent flow properties of large-scale vortex systems. Proc. Natl. Acad. Sci. USA.
6. BERNARD, P. S. 2009. Vortex filament simulation of the turbulent coflowing jet. Phys. Fluids 21.
7. BÖ RM, S., GRASEDYCK, L., AND HACKBUSCH, W. 2003. Hierarchical Matrices. Lecture Notes. MPI MIS.
8. CHATELAIN, P., CURIONI, A., BERGDORF, M., ROSSINELLI, D., ANDREONI, W., AND KOUMOUTSAKOS, P. 2008. Billion vortex particle direct numerical simulations of aircraft wakes. Comput. Methods Appl. Mech. Engrg. 197, 1296-1304.
9. CHORIN, A. J. 1990. Hairpin removal in vortex interactions. J. Comput. Phys. 91, 1, 1-21.
10. CHORIN, A. J. 1993. Hairpin Removal in Vortex Interactions II. J. Comput. Phys. 107, 1, 1-9.
11. CRANE, K., LLAMAS, I., AND TARIQ, S. 2007. GPU Gems 3 - Real-Time Simulation and Rendering of 3D Fluids. Addison-Wesley, ch. 30, 633-673.
12. DESBRUN, M., AND GASCUEL, M.-P. 1996. Smoothed particles: a new paradigm for animating highly deformable bodies. In Symp. on Computer animation and simulation, Springer, 61-76.
13. DESBRUN, M., KANSO, E., AND TONG, Y. 2008. Discrete Differential Forms for Computational Modeling. In Discrete Differential Geometry, vol. 38 of Oberwolfach Seminars. Birkhäuser.
14. DORMAND, J. R., AND PRINCE, P. J. 1980. A family of embedded Runge-Kutta formulae. Journal of Computational and Applied Mathematics 6, 1, 19-26.
15. DYKE, M. V. 1982. An album of fluid motion. The parabolic Press, Stanford.
16. ELCOTT, S., TONG, Y., KANSO, E., SCHRÖDER, P., AND DESBRUN, M. 2007. Stable, circulation-preserving, simplicial fluids. ACM Trans. Graph. 26, 1.
17. FEDKIW, R., STAM, J., AND JENSEN, H. W. 2001. Visual simulation of smoke. In Proc. ACM/SIGGRAPH Conf., 15-22.
18. GREENGARD, C., AND ANDERSON, C. R., EDS. 1988. Vortex Methods, vol. 1360 of Lecture Notes in Mathematics. Springer.
19. KATZ, J., AND PLOTKIN, A. 2001. Low-Speed Aerodynamics, 2 ed. No. 13 in Cambridge aerospace series. Cambridge Univ. Press.
20. KIM, B., LIU, Y., LLAMAS, I., AND ROSSIGNAC, J. 2005. Flow-Fixer: Using BFECC for Fluid Simulation. In Proc. EG Workshop on Natural Phenomena, E. Galin and P. Poulin, Eds.
21. KIM, T., THÜ REY, N., JAMES, D., AND GROSS, M. 2008. Wavelet turbulence for fluid simulation. In Proc. ACM/SIGGRAPH Conf., 1-6.
22. KIM, T. 2008. Hardware-aware analysis and optimization of stable fluids. In Proc. I3D Symp., 99-106.
23. KRÜGER, J., AND WESTERMANN, R. 2005. GPU Simulation and Rendering of Volumetric Effects for Computer Games and Virtual Environments. Comp. Graph. Forum 24, 3.
24. LIM, T. T., AND NICKELS, T. B. 1992. Instability and reconnection in the head-on collision of two vortex rings. Nature 357, 225-227.
25. LIM, T. T. 1989. An experimental study of a vortex ring interacting with an inclined wall. Experiments in Fluids 7, 7 (July), 453-463.
26. MARSDEN, J., AND WEINSTEIN, A. 1983. Coadjoint orbits, vortices, and Clebsch variables for incompressible fluids. Physica 7 D., 305-323.
27. MARZOUK, Y. M., AND GHONIEM, A. F. 2007. Vorticity structure and evolution in a transverse jet. J. Fluid Mech. 575, 267-305.
28. MULLEN, P., CRANE, K., PAVLOV, D., TONG, Y., AND DESBRUN, M. 2009. Energy-preserving Integrators for Fluid Animation. Proc. ACM/SIGGRAPH Conf. 28, 3.
29. MÜLLER, M., CHARYPAR, D., AND GROSS, M. 2003. Particlebased fluid simulation for interactive applications. In Proc. Symp. Comp. Anim., 154-159.
30. MÜ LLER, M., STAM, J., JAMES, D., AND THÜ REY, N. 2008. Real time physics: class notes. In ACM/SIGGRAPH classes, 1-90.
31. NARAIN, R., SEWALL, J., CARLSON, M., AND LIN, M. C. 2008. Fast animation of turbulence using energy transport and procedural synthesis. ACM Trans. Graph. 27, 5, 1-8.
32. NEYRET, F. 2003. Advected Textures. In Proc. Symp. Comp. Anim.
33. PARK, S. I., AND KIM, M. J. 2005. Vortex fluid for gaseous phenomena. In Proc. Symp. Comp. Anim., 261-270.
34. PFAFF, T., THUEREY, N., SELLE, A., AND GROSS, M. 2009. Synthetic turbulence using artificial boundary layers. In Proc. ACM/SIGGRAPH Asia Conf., 1-10.
35. PINKALL, U., SPRINGBORN, B., AND WEISSMANN, S. 2007. A new doubly discrete analogue of smoke ring flow and the real time simulation of fluid flow. J. Phys. A: Math. Theor. 40, 42, 12563-12576.
36. RASMUSSEN, N., NGUYEN, D. Q., GEIGER, W., AND FEDKIW, R. 2003. Smoke simulation for large scale phenomena. ACM Trans. Graph. 22, 3, 703-707.
37. ROCKLIFF, S. H. L., PETER RYAL VOKE, AND NICOLE JACQUELINE. 2000. Three-Dimensional Vortices of a Spatially Developing Plane Jet. International Journal of Fluid Dynamics 4, 1-+.
38. SAFFMAN, P. G. 1992. Vortex Dynamics. Cambridge University Press, Cambridge.
39. SATO, K. 1999. Lévy Processes and Infinitely Divisible Distributions. Cambridge University Press.
40. SAUTER, S., AND SCHWAB, C. 2004. Randelementmethoden. Vieweg+Teubner.
41. SELLE, A., RASMUSSEN, N., AND FEDKIW, R. 2005. A vortex particle method for smoke, water and explosions. ACM Trans. Graph. 24, 3, 910-914.
42. STAM, J., AND FIUME, E. 1993. Turbulent wind fields for gaseous phenomena. In Proc. ACM/SIGGRAPH Conf., 369-376.
43. STAM, J., AND FIUME, E. 1995. Depicting fire and other gaseous phenomena using diffusion processes. In Proc. ACM/SIGGRAPH Conf., 129-136.
44. STAM, J. 1999. Stable fluids. In Proc. ACM/SIGGRAPH Conf., 121-128.
45. TREUILLE, A., LEWIS, A., AND POPOVIĆ, Z. 2006. Model reduction for real-time fluids. ACM Trans. Graph. 25, 3, 826-834.
46. WEILER, K. 1985. Edge-Based Data Structures for Solid Modeling in Curved-Surface Environments. Computer Graphics and Applications, IEEE 5, 1 (Jan.), 21-40.
47. WEISSMANN, S., AND PINKALL, U. 2009. Real-time interactive simulation of smoke using discrete integrable vortex filaments. In Proc. Vir. Real., Inter. &-Phys. Sim., 1-10.
48. WEISSMANN, S., GUNN, C., BRINKMANN, P., HOFFMANN, T., AND PINKALL, U. 2009. Reality. In Proc. ACM/MM Conf., 927-928.
49. YAN, H., WANG, Z., HE, J., CHEN, X., WANG, C., AND PENG, Q. 2009. Real-time fluid simulation with adaptive SPH. Computer Animation and Virtual Worlds 20, 2-3, 417-426.
50. YANG, Q. 2009. Real-time simulation of 3D smoke based on Navier-Stokes equation. W. Trans. on Comp. 8, 1, 103-112.