Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
skip to main content
article

Simulating the dynamics of auroral phenomena

Published: 01 January 2005 Publication History

Abstract

Simulating natural phenomena has always been a focal point for computer graphics research. Its importance goes beyond the production of appealing presentations, since research in this area can contribute to the scientific understanding of complex natural processes. The natural phenomena, known as the Aurora Borealis and Aurora Australis, are geomagnetic phenomena of impressive visual characteristics and remarkable scientific interest. Aurorae present a complex behavior that arises from interactions between plasma (hot, ionized gases composed of ions, electrons, and neutral atoms) and Earth's electromagnetic fields. Previous work on the visual simulation of auroral phenomena have focused on static physical models of their shape, modeled from primitives, like sine waves. In this article, we focus on the dynamic behavior of the aurora, and we present a physically-based model to perform 3D visual simulations. The model takes into account the physical parameters and processes directly associated with plasma flow, and can be extended to simulate the dynamics of other plasma phenomena as well as astrophysical phenomena. The partial differential equations associated with these processes are solved using a complete multigrid implementation of the electromagnetic interactions, leading to a simulation of the shape and motion of the auroral displays. In order to illustrate the applicability of our model, we provide simulation sequences rendered using a distributed forward mapping approach.

References

[1]
Anderson, U. 2001. Time-domain methods for the Maxwell equations. Ph.D. thesis, Department of Numerical Analysis and Computer Science, Royal Institute of Technology, Sweden.
[2]
Aruliah, D. and Ascher, U. 2002. Multigrid preconditioning for Krylov methods for time-harmonic Maxwell's equations in three dimensions. SIAM J. Scientif. Comput. 24, 2, 702--718.
[3]
Arvo, J. 1995. Analytic methods for simulated light transport. Ph.D. thesis, Yale University.
[4]
Baranoski, G. and Rokne, J. 2002. Using a HPC system for the simulation of the trajectories of solar wind particles in the ionosphere. In High Performance Computing Systems and Applications, N. Dimopoulos and K. Li, Eds. Kluwer Academic Publishers, Norwell, MA. (Chapter 2), 317--329.
[5]
Baranoski, G., Rokne, J., Shirley, P., Trondsen, T., and Bastos, R. 2000. Simulating the aurora borealis. In the 8th Pacific Conference on Computer Graphics and Applications. IEEE Computer Society, Los Alamitos, CA. 2--14.
[6]
Baranoski, G., Rokne, J., Shirley, P., Trondsen, T., and Bastos, R. 2003. Simulating the aurora. J. Visualiza. Comput. Animat. 14, 1 (Feb.), 43--59.
[7]
Baranoski, G., Wan, J., Rokne, J. G., and Bell, I. 2002. Simulating the dynamics of the dancing lights. Tech. Rep. CS-2002-16, (April). School of Computer Science, University of Waterloo.
[8]
Belcher, J. and Bessette, R. 2001. Using 3D animation in teaching introductory electromagnetism. Comput. Graph. 35, 1 (Feb.), 18--21.
[9]
Binney, J. 1993. Gravitational plasmas. In Plasma Physics An Introductory Course, R. Dendy, Ed. Cambridge University Press, Cambridge, UK. 291--318.
[10]
Birdsall, C. and Fuss, D. 1969. Clouds-in-clouds, clouds-in-cells physics for many-body plasma simulation. J. Comput. Phys. 3, 494--511.
[11]
Bittencourt, J. 1986. Fundamentals of Plasma Physics. Pergamon Press, Oxford, UK.
[12]
Borovsky, J. and Suszcynsky, D. 1993. Optical measurements of the fine structure of auroral arcs. In Auroral Plasma Dynamics, R. Lysak, Ed. American Geophysical Union, Washington, D.C., 25--30. (Vol. 80 of Geophys. Monogr. Series.)
[13]
Borovsky, J., Suszcynsky, D., Buchwald, M., and DeHaven, H. 1991. Measuring the thickness of auroral curtains. Arctic 44, 3, 231--238.
[14]
Brandt, A. 1977. Multi-level adaptive solutions to boundary-value problems. Math. Comp. 31, 333--390.
[15]
Brekke, A. and Egeland, A. 1994. The Northern Lights, Their Heritage and Science. Gröndahl og Dreyers Forlag, AS, Oslo.
[16]
Bryant, D. A. 1999. Electron Acceleration in the Aurora and Beyond. Institute of Physics Publishing, Bristol, UK.
[17]
Burtnyk, K. 2000. Anatomy of an aurora. Sky and Telescope 99, 3 (March), 35--40.
[18]
Castleman, K. 1996. Digital Image Processing. Prentice-Hall, New York.
[19]
Chan, T. and Wan, W. 2000. Robust multigrid methods for elliptic linear systems. J. Comput. Appl. Math. 123, 323--352.
[20]
Chen, F. 1984. Introduction to Plasma Physics and Controlled Fusion, 2nd Ed. Plenun Press, New York.
[21]
Davis, N. 1992. The Aurora Watchers Handbook. University of Alaska Press, Fairbanks.
[22]
Davis, T. and Hallinan, T. 1976. Auroral spirals. 1. observations. J. Geophys. Research. 81, 22 (Aug.), 3953--3958.
[23]
Drazin, P. and Reid, W. 1981. Hydrodynamic Stability. Cambridge University Press, Cambridge.
[24]
Dupont, D. 2004. Nuclear explosions in orbit. Scientific American, 100--107.
[25]
Eather, R. 1980. Majestic Lights. American Geophysical Union, Washington.
[26]
Enright, D., Marschner, S., and Fedkiw, R. 2002. Animation and rendering of complex water surfaces. SIGGRAPH Proceedings, Annual Conference Series, 736--744.
[27]
Fedkiw, R., Stam, J., and Jensen, H. 2001. Visual simulation of smoke. SIGGRAPH Proceedings, Annual Conference Series, 15--22.
[28]
Fedorenko, R. 1961. A relaxation method for solving elliptic difference equations. USSR Comput. Math. Phys. 1, 1092--1096.
[29]
Feldman, B., O'Brien, J., and Arikan, O. 2003. Animating suspended particle explosions. SIGGRAPH Proceedings, Annual Conference Series, 708--715.
[30]
Foster, N. and Fedkiw, R. 2001. Practical animation of fluids. SIGGRAPH Proceedings, Annual Conference Series, 23--30.
[31]
Foster, N. and Metaxas, D. 1997. Modeling the motion of a hot, turbulent gas. SIGGRAPH Proceedings, Annual Conference Series, 181--188.
[32]
Golub, G. and Loan, C. V. 1989. Matrix Computations, Second ed. John Hopkins University Press, Baltimore.
[33]
Gombosi, T., Powell, K., Zeeeuw, D., Clauer, C., Hansen, K., Manchester, W., Ridley, A., Rousssev, I., Abd Q. F., Stout, I. S., and Toth, G. 2004. Solution-adaptive magnetohydrodynamics for space plasmas: Sun-to-Earth simulations. Computing in Science and Engineering, 14--35.
[34]
Greenberg, D. 1988. 1987 Steven A. Coons Award Lecture. Comput. Graph. 22, 1 (Feb.), 7--14.
[35]
Hackbusch, W. 1985. Multi-grid Methods and Applications. Springer Verlag, Berlin.
[36]
Hallinan, T. 1976. Auroral spirals. 2. theory. J. Geophys. Resear. 81, 22 (Aug.), 3959--3965.
[37]
Hallinan, T. 1981. The distribution of vorticity in auroral arcs. In Physics of Auroral Arc Formation, S. Akasofu and J. Kan, Eds. American Geophysicsl Union, Washington, D.C.
[38]
Hallinan, T. 2001. Personal communication. Geophysical Institute, University of Alaska.
[39]
Hallinan, T. and Davis, T. 1970. Small-scale auroral distortions. Planet. Space Sci. 18, 1735--1744.
[40]
Hinze, J. 1975. Turbulence. McGraw-Hill, New York.
[41]
Hockney, R. 1966. Computer experiment of anomalus diffusion. Phys. Fluids 9, 9 (Sept.), 1826--1835.
[42]
Hockney, R. and Eastwood, J. 1988. Computer Simulation Using Particles. Institute of Physics, Bristol.
[43]
Jensen, H., Durand, F., Stark, M., Premoze, S., Dorsey, J., and Shirley, P. 2001. A physically-based night sky model. SIGGRAPH Proceedings, Annual Conference Series, 399--408.
[44]
Jones, A. 1974. Aurora. D. Reidel Publishing Company, Dordrecht, Holland.
[45]
Kajiya, J. and Herzen, B. V. 1984. Ray tracing volume densities. Comput. Graph. 18, 3 (July), 165--174.
[46]
Kärkkäinen, K. 2002. On the finite-difference modelling of electromagnetic problems in structured lattices. Ph.D. thesis, Electromagnetics Laboratory, Department of Electrical and Communications Engineering, Helsinki University of Technology, Finland.
[47]
Kunimatsu, A., Watanabe, Y., Fujii, H., Saito, T., Hiwada, K., Takahashi, T., and Ueki, H. 2001. Fast simulation of and rendering techniques for fluid objects. Comput. Graph. For. 20, 3, 57--66.
[48]
Levy, R. and Hockney, R. 1968. Computer experiments on low-density crossed-field electron beams. Phys. Fluids 11, 4 (April), 766--771.
[49]
Ljung, P., Dieckmann, M., Andersson, N., and Ynnerman, A. 2000. Interactive visualization of particle-in-cell simulations. In IEEE Visualization 2000. 469--472.
[50]
Miyazaki, R., Dobashi, Y., and Nishita, T. 2002. Simulation of cumuliform clouds based on computational fluid dynamics. In Short Presentations of Eurographics 2002, I. Navazo and P. Slusallek, Eds. The Eurographics Association. 405--410.
[51]
Myazaki, R., Oshida, S., Dobashi, Y., and Nishita, T. 2001. A method for modeling clouds based on atmospheric fluid dynamics. In the 9th Pacific Conference on Computer Graphics and Applications. IEEE Computer Society, Los Alamitos, CA. 363--372.
[52]
Nadeau, D., Genetti, J., Napear, S., Pailthorpe, B., Emmart, C., Wesselak, E., and Davidson, D. 2001. Visualizing stars and emission nebulas. Comput. Graphics Forum 20, 1 (March), 27--33.
[53]
Nguyen, D. Q., Fedkiw, R., and Jensen, H. W. 2002. Physically based modeling and animation of fire. SIGGRAPH Proceedings, Annual Conference Series, 721--728.
[54]
NRC. 1995. Plasma Science from Fundamental Research to Technological Applications. National Academy Press, Washington, D.C.
[55]
NRC. 2003. The Sun to the Earth and Beyond. National Academy Press, Washington, D.C.
[56]
Nylund, S. and Holland, D. 1999. Themes and trends in space science data processing and visualization. John Hopkins APL Tech. Digest 20, 4, 533--543.
[57]
Odenwald, S. 2000. Solar storms: The silent menace. Sky and Telescope 99, 3 (March), 41--56.
[58]
Omholt, A. 1971. The Optical Aurora. Springer-Verlag, New York.
[59]
Parker, S., Cummings, J., and Samtaney, R. 1995. Visualization of plasma turbulence. IEEE Comput. Graph. Appl. 15, 2, 7--10.
[60]
Partamies, N., Freeman, M., and Kauristie, K. 2001. On the winding of auroral spirals: Interhemispheric observations and Hallinan's theory revisited. J. Geophys. Resear. 106 (A12), 28913--28924.
[61]
Partamies, N., Kauristie, K., Pulkkinen, T., and Brittnacher, M. 2001. Statistical study of auroral spirals. J. Geophys. Resear. 106, 15415--15428.
[62]
Paxton, L. and Meng, C. 1999. Auroral imaging and space-based optical remote sensing. John Hopkins APL Tech. Digest 20, 4, 544--555.
[63]
Rasmussen, N., Nguyen, D. Q., Geiger, W., and Fedkiw, R. 2003. Smoke simulation for large scale phenomena. SIGGRAPH Proceedings, Annual Conference Series, 703--707.
[64]
Schussman, G., Ma, K., Schissel, D., and Evans, T. 2000. Visualizing DIII-D Tokamak magnetic field lines. In IEEE Visualization 2000. 501--504.
[65]
Silvester, P. and Ferrari, R. 1990. Finite Elements for Electrical Engineers, 2nd Ed. Cambridge University Press, Cambridge.
[66]
Smirnov, B. 2001. Physics of Ionized Gases. John Wiley & Sons, New York.
[67]
Stam, J. 1995. Multiple scattering as a diffusion process. In Rendering Techniques'95 (Proceedings of the Sixth Eurographics Rendering Workshop), P. M. Hanrahan and W. Purgathofer, Eds. SIGGRAPH Proceedings, Annual Conference Series, 41--50.
[68]
Stam, J. 1999. Stable fluids. SIGGRAPH Proceedings, Annual Conference Series, 121--128.
[69]
Stam, J. and Fiume, E. 1993. Turbulent wind fields for gaseous phenomena. SIGGRAPH Proceedings, Annual Conference Series, 369--376.
[70]
Taflove, A. 2000. Computational Electrodynamics: The finite-difference time-domain method, 2nd Ed. Artech House, Boston, MA.
[71]
Tajima, T. 1989. Computational Plasma Physics: With Applications to Fusion and Astrophysics. Addison-Wesley, Redwood City, CA.
[72]
Tang, W. 2002. Advanced computations in plasma physics. Phys. Plasmas 9, 5, 1856--1872.
[73]
Taylor, K. 2001. Auroras earth's grand show of lights. National Geographic, 48--63.
[74]
Trondsen, T. 1998. High spatial and temporal resolution auroral imaging. Ph.D. thesis, Department of Physics, Faculty of Science, University of Tromsø, Norway.
[75]
Trondsen, T. 2001. Personal communication. Institute for Space Research, The University of Calgary.
[76]
Trottenber, U., Oosterlee, C., Schüller, A., Brandt, A., Oswald, P., and Stüben, K. 2001. Multigrid. Academic Press, New York.
[77]
Upson, C., Barr, A., Reeves, B., Wolff, R., and Wolfram, S. 1987. The physical simulation and visual representation of natural phenomena. Comput. Graph. 21, 4, 355--356.
[78]
Volakis, J. and Kempel, L. 1995. Electromagnetics: Computational methods and considerations. IEEE Computat. Sci. Engineer. 2, 1, 42--57.
[79]
Weimer, H. and Warren, J. 1999. Subdivision schemes for fluid flow. SIGGRAPH Proceedings, Annual Conference Series, 111--120.
[80]
Westover, L. 1991. Splatting: A parallel, feed-forward volume rendering algorithm. Ph.D. thesis, Department of Computer Science, University of North Carolina at Chapel Hill.
[81]
Williams, D., Mauk, B., Mitchell, D., Roelof, E., and Zanetti, L. 1999. Radiation belts and beyond. John Hopkins APL Tech. Digest 20, 4, 544--555.
[82]
Witkin, A. and Kass, M. 1991. Reaction-diffusion textures. Comput. Graph. (SIGGRAPH Proceedings) 25, 4, 299--308.
[83]
Yoshizawa, A. 1998. Hydrodynamic and Magnetohydrodynamic Turbulent Flows: Modelling and Statistical Theory. Kluver, Dordrecht.
[84]
Yoshizawa, A., Itoh, S., Itoh, K., and Yokoi, N. 2001. Turbulence theories and modelling of fluids and plasma. Plasma Phys. and Controlled Fusion 43, 1--144.

Cited By

View all
  • (2019)Procedural Animation of Aurora and its Optimization for Keyframe AnimationProceedings of the 2019 3rd International Symposium on Computer Science and Intelligent Control10.1145/3386164.3389098(1-8)Online publication date: 25-Sep-2019
  • (2013)Visual Simulation of Aurora based on Feature Motion特徴的な動き方を考慮したオーロラのビジュアルシミュレーションThe Journal of the Society for Art and Science10.3756/artsci.12.2412:1(24-35)Online publication date: 31-Mar-2013
  • (2013)Interactive smoke simulation and rendering on the GPUProceedings of the 12th ACM SIGGRAPH International Conference on Virtual-Reality Continuum and Its Applications in Industry10.1145/2534329.2534358(177-182)Online publication date: 17-Nov-2013
  • Show More Cited By

Recommendations

Comments

Information & Contributors

Information

Published In

cover image ACM Transactions on Graphics
ACM Transactions on Graphics  Volume 24, Issue 1
January 2005
179 pages
ISSN:0730-0301
EISSN:1557-7368
DOI:10.1145/1037957
Issue’s Table of Contents

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 January 2005
Published in TOG Volume 24, Issue 1

Permissions

Request permissions for this article.

Check for updates

Author Tags

  1. Atmospheric effects
  2. natural phenomena
  3. plasma phenomena
  4. rendering

Qualifiers

  • Article

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • Downloads (Last 12 months)20
  • Downloads (Last 6 weeks)3
Reflects downloads up to 06 Oct 2024

Other Metrics

Citations

Cited By

View all
  • (2019)Procedural Animation of Aurora and its Optimization for Keyframe AnimationProceedings of the 2019 3rd International Symposium on Computer Science and Intelligent Control10.1145/3386164.3389098(1-8)Online publication date: 25-Sep-2019
  • (2013)Visual Simulation of Aurora based on Feature Motion特徴的な動き方を考慮したオーロラのビジュアルシミュレーションThe Journal of the Society for Art and Science10.3756/artsci.12.2412:1(24-35)Online publication date: 31-Mar-2013
  • (2013)Interactive smoke simulation and rendering on the GPUProceedings of the 12th ACM SIGGRAPH International Conference on Virtual-Reality Continuum and Its Applications in Industry10.1145/2534329.2534358(177-182)Online publication date: 17-Nov-2013
  • (2013)Visual Simulation of Magnetic Fluid Using a Procedural Approach for Spikes ShapeComputer Vision, Imaging and Computer Graphics. Theory and Application10.1007/978-3-642-38241-3_8(112-126)Online publication date: 2013
  • (2011)Modeling of aurora borealis using the observed dataProceedings of the 27th Spring Conference on Computer Graphics10.1145/2461217.2461220(13-16)Online publication date: 28-Apr-2011
  • (2011)Visual simulation of aurora movementSIGGRAPH Asia 2011 Posters10.1145/2073304.2073354(1-1)Online publication date: 12-Dec-2011
  • (2010)A parallel multigrid Poisson solver for fluids simulation on large gridsProceedings of the 2010 ACM SIGGRAPH/Eurographics Symposium on Computer Animation10.5555/1921427.1921438(65-74)Online publication date: 2-Jul-2010
  • (2007)Rendering Plasma Phenomena: Applications and ChallengesComputer Graphics Forum10.1111/j.1467-8659.2007.01041.x26:4(743-768)Online publication date: 10-Sep-2007
  • (2006)Simulation of the ball lightning phenomenonComputers & Graphics10.1016/j.cag.2006.03.01830:4(485-493)Online publication date: Aug-2006

View Options

Get Access

Login options

Full Access

View options

PDF

View or Download as a PDF file.

PDF

eReader

View online with eReader.

eReader

Media

Figures

Other

Tables

Share

Share

Share this Publication link

Share on social media