“Water wave packets” by Wojtan and Jeschke
Conference:
Type(s):
Title:
- Water wave packets
Session/Category Title: Fluids II
Presenter(s)/Author(s):
Moderator(s):
Abstract:
This paper presents a method for simulating water surface waves as a displacement field on a 2D domain. Our method relies on Lagrangian particles that carry packets of water wave energy; each packet carries information about an entire group of wave trains, as opposed to only a single wave crest. Our approach is unconditionally stable and can simulate high resolution geometric details. This approach also presents a straightforward interface for artistic control, because it is essentially a particle system with intuitive parameters like wavelength and amplitude. Our implementation parallelizes well and runs in real time for moderately challenging scenarios.
References:
1. George Biddell Airy. 1841. Tides and waves. London.Google Scholar
2. GD Birkhoff. 1927. THE FOUNDATION OF QUANTUM MECHANICS. Bull. Amer. Math. Soc. (1927).Google Scholar
3. J Ernest Breeding. 1978. Velocities and refraction laws of wave groups: A verification. Journal of Geophysical Research: Oceans 83, C6 (1978), 2970–2976. Google ScholarCross Ref
4. José A. Canabal, David Miraut, Nils Thuerey, Theodore Kim, Javier Portilla, and Miguel A. Otaduy. 2016. Dispersion Kernels for Water Wave Simulation. ACM Trans. Graph. 35, 6, Article 202 (Nov. 2016), 10 pages. Google ScholarDigital Library
5. Nuttapong Chentanez and Matthias Müller. 2010. Real-time simulation of large bodies of water with small scale details. In Proc. ACM SIGGRAPH/Eurographics Symp. on Comp. Anim. 197–206.Google Scholar
6. Hilko Cords. 2008. Moving with the flow: Wave particles in flowing liquids. In Winter School of Computer Graphics (WSCG).Google Scholar
7. Fang Da, David Hahn, Christopher Batty, Chris Wojtan, and Eitan Grinspun. 2016. Surface-only liquids. ACM Transactions on Graphics (TOG) 35, 4 (2016), 78.Google ScholarDigital Library
8. Emmanuelle Darles, Benoît Crespin, Djamchid Ghazanfarpour, and Jean-Christophe Gonzato. 2011. A survey of ocean simulation and rendering techniques in computer graphics. In Comput. Graph. Forum, Vol. 30. 43–60. Google ScholarCross Ref
9. Robert George Dean and Robert A Dalrymple. 1991. Water wave mechanics for engineers and scientists. World Scientific.Google Scholar
10. R Dorrestein. 1951. General linearized theory of the effect of surface films on water ripples. Nederl. Akad. Van Wetenschapen B 54 (1951), 250–272.Google Scholar
11. Alain Fournier and William T Reeves. 1986. A simple model of ocean waves. In Computer Graphics, Vol. 20. ACM, 75–84.Google ScholarDigital Library
12. Manuel N Gamito and F Kenton Musgrave. 2002. An accurate model of wave refraction over shallow water. Computers & Graphics 26, 2 (2002), 291–307.Google ScholarCross Ref
13. Carlos Gonzalez-Ochoa. 2016. Advances in Real-Time Rendering in Games: Rendering Rapids in Uncharted 4. ACM SIGGRAPH Courses (2016).Google Scholar
14. Jean-Christophe Gonzato and Bertrand Le Saëc. 1997. A phenomenological model of coastal scenes based on physical considerations. In Computer Animation and Simulation ’97. 137–148.Google ScholarCross Ref
15. Damien Hinsinger, Fabrice Neyret, and Marie-Paule Cani. 2002. Interactive animation of ocean waves. In Proc. ACM SIGGRAPH/Eurographics Symp. on Comput. Anim. 161–166. Google ScholarDigital Library
16. Christopher J Horvath. 2015. Empirical directional wave spectra for computer graphics. In Proceedings of the 2015 Symposium on Digital Production. ACM, 29–39.Google ScholarDigital Library
17. Stefan Jeschke and Chris Wojtan. 2015. Water Wave Animation via Wavefront Parameter Interpolation. ACM Trans. Graph. 34, 3, Article 27 (May 2015), 14 pages. Google ScholarDigital Library
18. R.S. Johnson. 1997. A modern introduction to the mathematical theory of water waves. Vol. 19. Cambridge university press. Google ScholarCross Ref
19. M. Kass and G. Miller. 1990. Rapid, stable fluid dynamics for computer graphics. In Computer Graphics, Vol. 24. 49–57. Google ScholarDigital Library
20. Todd Keeler and Robert Bridson. 2014. Ocean Waves Animation using Boundary Integral Equations and Explicit Mesh Tracking. In Proceedings of the 13th ACM SIGGRAPH/Eurographics Symposium on Computer Animation (SCA ’14). Eurographics.Google ScholarDigital Library
21. Theodore Kim, Jerry Tessendorf, and Nils Thuerey. 2013. Closest Point Turbulence for Liquid Surfaces. ACM Trans. Graph. 32, 2, Article 15 (April 2013), 13 pages. Google ScholarDigital Library
22. Bernard Le Méhauté. 1988. Gravity-capillary rings generated by water drops. Journal of Fluid Mechanics 197 (1988), 415–427. Google ScholarCross Ref
23. Bertram R Levy and Joseph B Keller. 1959. Diffraction by a smooth object. Comm. Pure and Appl. Math. 12, 1 (1959), 159–209. Google ScholarCross Ref
24. Richard L Liboff. 2003. Introductory quantum mechanics. Addison-Wesley.Google Scholar
25. Gary A Mastin, Peter A Watterberg, and John F Mareda. 1987. Fourier synthesis of ocean scenes. Computer Graphics and Applications, IEEE 7, 3 (1987), 16–23.Google Scholar
26. Olivier Mercier, Cynthia Beauchemin, Nils Thuerey, Theodore Kim, and Derek Nowrouzezahrai. 2015. Surface turbulence for particle-based liquid simulations. ACM Transactions on Graphics (TOG) 34, 6 (2015), 202.Google ScholarDigital Library
27. M.B. Nielsen and R. Bridson. 2011. Guide shapes for high resolution naturalistic liquid simulation. In ACM Trans. Graph., Vol. 30. ACM, 83. Google ScholarDigital Library
28. Michael B Nielsen, Andreas Söderström, and Robert Bridson. 2013. Synthesizing waves from animated height fields. ACM Trans. Graph. 32, 1 (2013), 2. Google ScholarDigital Library
29. James F O’Brien and Jessica K Hodgins. 1995. Dynamic simulation of splashing fluids. In Proc. Comp. Anim. ’95. IEEE, 198–205.Google ScholarDigital Library
30. Juan C Padrino and Daniel D Joseph. 2007. Correction of Lamb’s dissipation calculation for the effects of viscosity on capillary-gravity waves. Physics of Fluids 19 (2007), 082105. Google ScholarCross Ref
31. Darwyn R Peachey. 1986. Modeling waves and surf. In Computer Graphics, Vol. 20. ACM, 65–74.Google ScholarDigital Library
32. Joseph Pedlosky 2013. Waves in the ocean and atmosphere: introduction to wave dynamics. Springer Science & Business Media.Google Scholar
33. T Phillips. 2005. The mathematical uncertainty principle. Monthly Essays on Mathematical Topics (2005).Google Scholar
34. Bruce Schachter. 1980. Long crested wave models. Computer Graphics and Image Processing 12, 2 (1980), 187–201. Google ScholarCross Ref
35. SideFX. 2013. Houdini 13.0 Wave Layer Tank. (December 2013). http://www.sidefx.com/docs/houdini13.0/shelf/wavelayertank.Google Scholar
36. JL Synge. 1962. Water waves and hydrons. Science 138, 3536 (1962), 13–15. Google ScholarCross Ref
37. Jerry Tessendorf. 2004a. Interactive water surfaces. Game Programming Gems 4 (2004), 265–274.Google Scholar
38. Jerry Tessendorf. 2004b. Simulating ocean water. ACM SIGGRAPH Courses (2004).Google Scholar
39. Jerry Tessendorf. 2014. eWave: Using an Exponential Solver on the iWave Problem.. Technical Note.Google Scholar
40. William “Lord Kelvin” Thomson. 1891. Popular lectures and addresses. Vol. 3. Macmillan London. 481–8 pages.Google Scholar
41. Nils Thuerey, Matthias Muller-Fischer, Simon Schirm, and Markus Gross. 2007a. Real-time breaking waves for shallow water simulations. In Proc. Pacific Graphics. IEEE, 39–46. Google ScholarDigital Library
42. Nils Thuerey, F. Sadlo, S. Schirm, Matthias Müller-Fischer, and Markus Gross. 2007b. Real-time Simulations of Bubbles and Foam Within a Shallow Water Framework. In Proc. ACM SIGGRAPH/Eurographics Symp. on Comp. Anim. 191–198. http://dl.acm.org/citation.cfm?id=1272690.1272716Google Scholar
43. N. Thuerey, C. Wojtan, M. Gross, and G. Turk. 2010. A multiscale approach to mesh-based surface tension flows. ACM Trans. Graph. 29, 4 (2010), 48. Google ScholarDigital Library
44. Pauline Y Ts’o and Brian A Barsky. 1987. Modeling and rendering waves: wave-tracing using beta-splines and reflective and refractive texture mapping. Computer Graphics 6, 3 (1987), 191–214.Google ScholarDigital Library
45. Guy Vandegrift. 2004. The diffraction and spreading of a wavepacket. American Journal of Physics 72, 3 (2004), 404–407. Google ScholarCross Ref
46. Gerald Beresford Whitham. 2011. Linear and nonlinear waves. Vol. 42. John Wiley & Sons.Google Scholar
47. Turner Whitted. 1980. An Improved Illumination Model for Shaded Display. Commun. ACM 23, 6 (June 1980), 343–349. Google ScholarDigital Library
48. Sheng Yang, Xiaowei He, Huamin Wang, Sheng Li, Guoping Wang, Enhua Wu, and Kun Zhou. 2016. Enriching SPH simulation by approximate capillary waves. In Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation. Eurographics Association, 29–36.Google ScholarDigital Library
49. Jihun Yu, Chris Wojtan, Greg Turk, and Chee Yap. 2012. Explicit Mesh Surfaces for Particle Based Fluids. EUROGRAPHICS 2012 30 (2012), 41–48. Google ScholarDigital Library
50. Cem Yuksel. 2010. Real-time water waves with wave particles. Ph.D. Dissertation. Citeseer.Google Scholar
51. Cem Yuksel, Donald H House, and John Keyser. 2007. Wave particles. ACM Trans. Graph. 26, 3 (2007), 99. Google ScholarDigital Library
