research-article

Open access

Wave curves: simulating lagrangian water waves on dynamically deforming surfaces

Authors:

Andreas Soderstrom,

John Johansson,

Christoph Sprenger,

Chris WojtanAuthors Info & Claims

ACM Transactions on Graphics (TOG), Volume 39, Issue 4

Article No.: 65, Pages 65:1 - 65:11

https://doi.org/10.1145/3386569.3392466

Published: 12 August 2020 Publication History

Abstract

We propose a method to enhance the visual detail of a water surface simulation. Our method works as a post-processing step which takes a simulation as input and increases its apparent resolution by simulating many detailed Lagrangian water waves on top of it. We extend linear water wave theory to work in non-planar domains which deform over time, and we discretize the theory using Lagrangian wave packets attached to spline curves. The method is numerically stable and trivially parallelizable, and it produces high frequency ripples with dispersive wave-like behaviors customized to the underlying fluid simulation.

Supplemental Material

MP4 File

Presentation video

Transcript for: Presentation video

MP4 File

Download
434.49 MB

ZIP File

Supplemental files.

Download
325.45 MB

References

[1]

D. J. Acheson. 1990. Elementary fluid dynamics. Clarendon Press Oxford University Press, Oxford New York.

[2]

George Biddell Airy. 1841. Tides and waves. (1841).

[3]

Roland Angst, Nils Thuerey, Mario Botsch, and Markus Gross. 2008. Robust and Efficient Wave Simulations on Deforming Meshes. Computer Graphics Forum 27, 7 (Oct 2008), 1895--1900.

[4]

Omri Azencot, Orestis Vantzos, and Mirela Ben-Chen. 2018. An explicit structure-preserving numerical scheme for EPDiff. In Computer Graphics Forum, Vol. 37. Wiley Online Library, 107--119.

[5]

Morten Bojsen-Hansen, Hao Li, and Chris Wojtan. 2012. Tracking surfaces with evolving topology. ACM Trans. Graph. 31, 4 (2012), 53--1.

Digital Library

[6]

Morten Bojsen-Hansen and Chris Wojtan. 2013. Liquid surface tracking with error compensation. ACM Transactions on Graphics (TOG) 32, 4 (2013), 68.

Digital Library

[7]

Robert Bridson. 2015. Fluid Simulation for Computer Graphics, Second Edition. A K Peters/CRC Press.

[8]

Jose 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.

Digital Library

[9]

Hilko Cords. 2008. Moving with the Flow: Wave Particles in Flowing Liquids. Journal of WSCG 16, 1-3 (2008), 145--152.

[10]

P. G. Drazin. 2002. Introduction to Hydrodynamic Stability. Cambridge Univ. Press.

[11]

Geoffrey Irving, Eran Guendelman, Frank Losasso, and Ronald Fedkiw. 2006. Efficient Simulation of Large Bodies of Water by Coupling Two and Three Dimensional Techniques. In ACM SIGGRAPH 2006 Papers (Boston, Massachusetts) (SIGGRAPH '06). Association for Computing Machinery, New York, NY, USA, 805--811.

Digital Library

[12]

Stefan Jeschke, Tomáš Skřivan, Matthias Müller-Fischer, Nuttapong Chentanez, Miles Macklin, and Chris Wojtan. 2018. Water surface wavelets. ACM Transactions on Graphics (TOG) 37, 4 (2018), 94.

Digital Library

[13]

Stefan Jeschke and Chris Wojtan. 2015. Water Wave Animation via Wavefront Parameter Interpolation. ACM Trans. Graph. 34, 3, Article 27 (May 2015), 14 pages.

Digital Library

[14]

Stefan Jeschke and Chris Wojtan. 2017. Water Wave Packets. ACM Trans. Graph. 36, 4, Article 103 (July 2017), 12 pages.

Digital Library

[15]

Michael Kass and Gavin Miller. 1990. Rapid, stable fluid dynamics for computer graphics. ACM SIGGRAPH Computer Graphics 24, 4 (Sep 1990), 49--57.

Digital Library

[16]

Theodore Kim, Jerry Tessendorf, and Nils Thürey. 2013. Closest Point Turbulence for Liquid Surfaces. ACM Trans. Graph. 32, 2, Article 15 (April 2013), 13 pages.

Digital Library

[17]

Jeff Lait. 2011. Correcting low frequency impulses in distributed simulations. In ACM SIGGRAPH 2011 Talks. 1--2.

Digital Library

[18]

MS Longuet-Higgins. 1985. Accelerations in steep gravity waves. Journal of physical oceanography 15, 11 (1985), 1570--1579.

[19]

Michael S. Longuet-Higgins. 1995. Parasitic capillary waves: a direct calculation. Journal of Fluid Mechanics 301, -1 (Oct 1995), 79.

[20]

Jörn Loviscach. 2002. A Convolution-Based Algorithm for Animated Water Waves. In Eurographics (Short Papers).

[21]

Chiang Mei. 2005. Theory and applications of ocean surface waves. World Scientific, Singapore Hackensack, NJ.

[22]

Olivier Mercier, Cynthia Beauchemin, Nils Thuerey, Theodore Kim, and Derek Nowrouzezahrai. 2015. Surface turbulence for particle-based liquid simulations. ACM Transactions on Graphics 34, 6 (Oct 2015), 1--10.

Digital Library

[23]

Björn Ottosson. 2011. Real-time interactive water waves. Ph.D. Dissertation. Master's thesis, KTH.

[24]

Sanjit Patel, Jerry Tessendorf, and Jeroen Molemaker. 2009. Monocoupled 3D and 2D river simulations. In Proc. ACM/Eurographics Symp. Comp. Anim., Posters Session.

[25]

Jerry Tessendorf. 2002. Simulating Ocean Water. (01 2002).

[26]

Jerry Tessendorf. 2004. Interactive Water Surfaces. (2004), 265--274. https://people.cs.clemson.edu/~jtessen/papers_files/Interactive_Water_Surfaces.pdf

[27]

Nils Thürey, Ulrich Rüde, and Marc Stamminger. 2006. Animation of open water phenomena with coupled shallow water and free surface simulations. In Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation. Eurographics Association, 157--164.

Digital Library

[28]

Nils Thürey, Chris Wojtan, Markus Gross, and Greg Turk. 2010. A Multiscale Approach to Mesh-Based Surface Tension Flows. ACM Trans. Graph. 29, 4, Article 48 (July 2010), 10 pages.

Digital Library

[29]

Huamin Wang, Gavin Miller, and Greg Turk. 2007. Solving General Shallow Wave Equations on Surfaces. In Proceedings of the 2007 ACM SIGGRAPH/Eurographics Symposium on Computer Animation (San Diego, California) (SCA '07). Eurographics Association, Aire-la-Ville, Switzerland, Switzerland, 229--238.

Digital Library

[30]

G. B. Whitham. 1999. Linear and nonlinear waves. Wiley, New York.

[31]

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 (Zurich, Switzerland) (SCA '16). Eurographics Association, Goslar, DEU, 29--36.

Digital Library

[32]

Jihun Yu, Chris Wojtan, Greg Turk, and Chee Yap. 2012. Explicit Mesh Surfaces for Particle Based Fluids. Computer Graphics Forum 31, 2pt4 (May 2012), 815--824.

Digital Library

[33]

Cem Yuksel, Donald H. House, and John Keyser. 2007. Wave Particles. ACM Trans. Graph. 26, 3, Article 99 (July 2007).

Digital Library

Cited By

Wang XXu YLiu SRen BKosinka JTelea AWang JSong CChang JLi CZhang JBan X(2024)Physics-based fluid simulation in computer graphics: Survey, research trends, and challengesComputational Visual Media10.1007/s41095-023-0368-yOnline publication date: 27-Apr-2024
https://doi.org/10.1007/s41095-023-0368-y
Stomakhin ALesser SWretborn JFlynn SNixon JIllingworth NRollet ABlom KMchale D(2023)Pahi: A Unified Water Pipeline and ToolsetProceedings of the 2023 Digital Production Symposium10.1145/3603521.3604291(1-13)Online publication date: 5-Aug-2023
https://dl.acm.org/doi/10.1145/3603521.3604291
Jeschke SWojtan C(2023)Generalizing Shallow Water Simulations with Dispersive Surface WavesACM Transactions on Graphics10.1145/359209842:4(1-12)Online publication date: 26-Jul-2023
https://dl.acm.org/doi/10.1145/3592098
Show More Cited By

Index Terms

Wave curves: simulating lagrangian water waves on dynamically deforming surfaces
1. Computing methodologies
  1. Computer graphics
    1. Animation
      1. Physical simulation
  2. Modeling and simulation
    1. Simulation types and techniques
      1. Simulation by animation

Recommendations

Water wave packets

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 ...
Fully dispersive nonlinear water wave model in curvilinear coordinates

A vertically integrated fully dispersive nonlinear wave model is expressed in curvilinear coordinates with non-orthogonal grids for the simulation of broad-banded nonlinear random water waves in regions of arbitrary geometry. The transformation is ...
A stratified dispersive wave model withhigh-order nonreflecting boundary conditions

A layered-model is introduced to approximate the effects of stratification on linearizedshallow water equations. This time-dependent dispersive wave model is appropriate for describing geophysical (e.g., atmospheric or oceanic) dynamics. However, ...

Comments

Information & Contributors

Information

Published In

cover image ACM Transactions on Graphics

ACM Transactions on Graphics Volume 39, Issue 4

August 2020

1732 pages

ISSN:0730-0301

EISSN:1557-7368

DOI:10.1145/3386569

Editor:
Szymon Rusinkiewicz
Princeton University

Issue’s Table of Contents

Copyright © 2020 Owner/Author.

Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 12 August 2020

Published in TOG Volume 39, Issue 4

Check for updates

Author Tags

Qualifiers

Research-article

Funding Sources

H2020 European Research Council
H2020 Marie Sk?odowska-Curie Actions

Contributors

Other Metrics

View Article Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

8
Total Citations
View Citations
1,614
Total Downloads

Downloads (Last 12 months)349
Downloads (Last 6 weeks)54

Reflects downloads up to 15 Oct 2024

Other Metrics

View Author Metrics

Citations

Cited By

Wang XXu YLiu SRen BKosinka JTelea AWang JSong CChang JLi CZhang JBan X(2024)Physics-based fluid simulation in computer graphics: Survey, research trends, and challengesComputational Visual Media10.1007/s41095-023-0368-yOnline publication date: 27-Apr-2024
https://doi.org/10.1007/s41095-023-0368-y
Stomakhin ALesser SWretborn JFlynn SNixon JIllingworth NRollet ABlom KMchale D(2023)Pahi: A Unified Water Pipeline and ToolsetProceedings of the 2023 Digital Production Symposium10.1145/3603521.3604291(1-13)Online publication date: 5-Aug-2023
https://dl.acm.org/doi/10.1145/3603521.3604291
Jeschke SWojtan C(2023)Generalizing Shallow Water Simulations with Dispersive Surface WavesACM Transactions on Graphics10.1145/359209842:4(1-12)Online publication date: 26-Jul-2023
https://dl.acm.org/doi/10.1145/3592098
Wang GTan SSong GWang S(2022)Amplitude and Phase Computable Ocean Wave Real-Time Modeling with GPU AccelerationJournal of Marine Science and Engineering10.3390/jmse1009120810:9(1208)Online publication date: 29-Aug-2022
https://doi.org/10.3390/jmse10091208
Parreiras EVieira MMachado ARenhe MGiraldi G(2022)A particle-in-cell method for anisotropic fluid simulationComputers and Graphics10.1016/j.cag.2021.08.010102:C(220-232)Online publication date: 1-Feb-2022
https://dl.acm.org/doi/10.1016/j.cag.2021.08.010
Liu SYang Z(2022)Virtual water wave simulation with multiple wavenumbersVirtual Reality10.1007/s10055-022-00729-027:2(1221-1231)Online publication date: 7-Dec-2022
https://dl.acm.org/doi/10.1007/s10055-022-00729-0
Peng CTu ZQiu SLi CWang CQin H(2022)Learning frequency‐aware convolutional neural network for spatio‐temporal super‐resolution water surface wavesComputer Animation and Virtual Worlds10.1002/cav.211633:6Online publication date: 18-Aug-2022
https://doi.org/10.1002/cav.2116
Jeschke SHafner CChentanez NMacklin MMüller‐Fischer MWojtan C(2020)Making Procedural Water Waves Boundary‐awareComputer Graphics Forum10.1111/cgf.1410039:8(47-54)Online publication date: 24-Nov-2020
https://doi.org/10.1111/cgf.14100

View Options

View options

PDF

View or Download as a PDF file.

eReader

View online with eReader.

Get Access

Login options

Check if you have access through your login credentials or your institution to get full access on this article.

Full Access

Get this Article

Media

Figures

Other

Tables

View Issue’s Table of Contents