article

Water drops on surfaces

Authors:

Peter J. Mucha,

Greg TurkAuthors Info & Claims

ACM Transactions on Graphics (TOG), Volume 24, Issue 3

Pages 921 - 929

https://doi.org/10.1145/1073204.1073284

Published: 01 July 2005 Publication History

Abstract

We present a physically-based method to enforce contact angles at the intersection of fluid free surfaces and solid objects, allowing us to simulate a variety of small-scale fluid phenomena including water drops on surfaces. The heart of this technique is a virtual surface method, which modifies the level set distance field representing the fluid surface in order to maintain an appropriate contact angle. The surface tension that is calculated on the contact line between the solid surface and liquid surface can then capture all interfacial tensions, including liquid-solid, liquid-air and solid-air tensions. We use a simple dynamic contact angle model to select contact angles according to the solid material property, water history, and the fluid front's motion. Our algorithm robustly and accurately treats various drop shape deformations, and handles both flat and curved solid surfaces. Our results show that our algorithm is capable of realistically simulating several small-scale liquid phenomena such as beading and flattened drops, stretched and separating drops, suspended drops on curved surfaces, and capillary action.

Supplementary Material

MP4 File (pps064.mp4)

Download
33.79 MB

References

[1]

Bussmann, M., Mostaghimi, J., and Chandra, S. 1999. On a three-dimensional volume tracking model of droplet impact. Phys. Fluids 11, 1406.

[2]

De Gennes, P. 1985. Wetting: Statics and dynamics. Rev. Mod. Phys. 57, 3, 827--863.

[3]

Dorsey, J., Pedersen, H. K., and Hanrahan, P. 1996. Flow and changes in appearance. In Proc. of ACM SIGGRAPH '96, 411--420.

Digital Library

[4]

Enright, D., Marschner, S., and Fedkiw, R. 2002. Animation and rendering of complex water surfaces. In Proc. of ACM SIGGRAPH '02, 736--744.

Digital Library

[5]

Enright, D., Nguyen, D., Gibou, F., and Fedkiw, R. 2003. Using the particle level set method and a second order accurate pressure boundary condition for free surface flows. In Proceeding of the 4th ASME-JSME Joint Fluids Eng. Conf, FEDSM2003-45144, 1--6.

[6]

Feng, Z. G., Domaszewski, M., Montavon, G., and Coddet, C. 2002. Finite element analysis of effect of substrate surface roughtness on liquid droplet impact and flattening process. Journal of Thermal Spray Technology 11, 1, 62--68.

[7]

Foster, N., and Fedkiw, R. 2001. Practical animation of liquids. In Proc. of ACM SIGGRAPH '01, 23--30.

Digital Library

[8]

Foster, N., and Metaxas, D. 1996. Realistic animation of liquids. Graph. Models Image Process. 58, 5, 471--483.

Digital Library

[9]

Fournier, P., Habibi, A., and Poulin, P. 1998. Simulating the flow of liquid droplets. In Graphics Interface, 133--142.

[10]

Healy, W. M. 1999. Modeling the Impact of a Liquid droplet on a Solid Surface. PhD thesis, Georgia Institute of Technology.

[11]

Jiang, G.-S., and Peng, D. 2000. Weighted eno schemes for hamilton jacobi equations. SIAM J. Sci. Comput. 21, 2126--2143.

Digital Library

[12]

Kaneda, K., Kagawa, T., and Yamashita, H. 1993. Animation of water droplets on a glass plate. In Proc. Computer Animation '93, 177--189.

[13]

Kaneda, K., Zuyama, Y., Yamashita, H., and Nishita, T. 1996. Animation of water droplet flow on curved surfaces. In Proc. PACIFIC GRAPHICS '96, 50--65.

[14]

Kaneda, K., Ikeda, S., and Yamashita, H. 1999. Animation of water droplets moving down a surface. The Journal of Visualization and Computer Animation 10, 1, 15--26.

[15]

Korlie, M. 1997. Particle modeling of liquid drop formation on a solid surface in 3-d. Compute. and Math. with Appl. 33, 9, 97--114.

[16]

Losasso, F., Gibou, F., and Fedkiw, R. 2004. Simulating water and smoke with an octree data structure. In Proc. of ACM SIGGRAPH '04, vol. 23, 457--462.

Digital Library

[17]

Osher, S., and Fedkiw, R. 2002. Level Set Methods and Dynamic Implicit Surfaces. Springer-Verlag.

[18]

Pharr, M., and Humphreys, G. 2004. Physically Based Rendering: From Theory to Implementation. Morgan Kaufmann.

Digital Library

[19]

Renardy, M., Renardy, Y., and Li, J. 2001. Numerical simulation of moving contact line problems using a volume-of-fluid method. Journal of Computational Physics 171, 243--263.

Digital Library

[20]

Schwartz, L. W., and Garoff, S. 1985. Contact angle hyesteresis on heterogeneous surfaces. Langmuir 1, 2, 219--230.

[21]

Sethian, J. 1996. A fast marching level set method for monotonically advancing fronts. In Proc. Natl. Acad. Sci., vol. 93, 1591--1595.

[22]

Stam, J. 1999. Stable fluids. In Proc. of ACM SIGGRAPH '99, 121--128.

Digital Library

[23]

Sussman, M., and Uto, S. 1998. A computational study of the spreading. of oil underneath a sheet of ice. CAM Report 98--32, University of California, Dept. of Math, Los Angeles.

[24]

Tong, R., Kaneda, K., and Yamashita, H. 2002. A volume-preserving approach for modeling and animating water flows generated by metaballs. The Visual Computer 18, 8, 469--480.

[25]

Tsitsiklis, J. 1995. Efficient algorithms for globally optimal trajectories. IEEE Trans. on Automatic Control 40, 1528--1538.

[26]

Yu, Y.-J., Jung, H.-Y., and Cho, H.-G. 1999. A new water droplet model using metaball in the gravitational field. Computer and Graphics 23, 213--222.

[27]

Zhao, H.-K., Merriman, B., Osher, S., and Wang, L. 1998. Capturing the behavior of bubbles and drops using the variational level set method. Computational Physics 143, 495--518.

Digital Library

Cited By

Gao ZHu WDong XZhao XWang SChen JQiu B(2024)Motion behavior of droplets on curved leaf surfaces driven by airflowFrontiers in Plant Science10.3389/fpls.2024.145083115Online publication date: 15-Oct-2024
https://doi.org/10.3389/fpls.2024.1450831
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-y10:5(803-858)Online publication date: 27-Apr-2024
https://doi.org/10.1007/s41095-023-0368-y
Islam AIslam R(2024)Numerical Study of the Superhydrophobic Nature of Triply Periodic Minimal Surfaces (TPMS): Energy Characteristics of Droplet Impact, Spreading and Rebounding PhenomenaIranian Journal of Science and Technology, Transactions of Mechanical Engineering10.1007/s40997-024-00801-xOnline publication date: 4-Sep-2024
https://doi.org/10.1007/s40997-024-00801-x
Show More Cited By

Index Terms

Water drops on surfaces
1. Computing methodologies
  1. Computer graphics
    1. Animation

Recommendations

Water drops on surfaces
SIGGRAPH '05: ACM SIGGRAPH 2005 Papers

We present a physically-based method to enforce contact angles at the intersection of fluid free surfaces and solid objects, allowing us to simulate a variety of small-scale fluid phenomena including water drops on surfaces. The heart of this technique ...
Stable but nondissipative water

This article presents a physically-based technique for simulating water. This work is motivated by the "stable fluids" method, developed by Stam [1999], to handle gaseous fluids. We extend this technique to water, which calls for the development of ...
Physically based morphing of point-sampled surfaces: Animating Geometrical Models
CASA 2005

This paper presents an innovative method for naturally and smoothly morphing point-sampled surfaces via dynamic meshless simulation on point-sampled surfaces. While most existing literature on shape morphing emphasizes the issue of finding a good ...

Comments

Information & Contributors

Information

Published In

cover image ACM Transactions on Graphics

ACM Transactions on Graphics Volume 24, Issue 3

July 2005

826 pages

ISSN:0730-0301

EISSN:1557-7368

DOI:10.1145/1073204

Issue’s Table of Contents

Copyright © 2005 ACM.

Permission to make digital or hard copies of all or part 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 components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 July 2005

Published in TOG Volume 24, Issue 3

Permissions

Request permissions for this article.

Request Permissions

Check for updates

Author Tags

Qualifiers

Article

Contributors

Other Metrics

View Article Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

98
Total Citations
View Citations
3,840
Total Downloads

Downloads (Last 12 months)68
Downloads (Last 6 weeks)9

Reflects downloads up to 25 Jan 2025

Other Metrics

View Author Metrics

Citations

Cited By

Gao ZHu WDong XZhao XWang SChen JQiu B(2024)Motion behavior of droplets on curved leaf surfaces driven by airflowFrontiers in Plant Science10.3389/fpls.2024.145083115Online publication date: 15-Oct-2024
https://doi.org/10.3389/fpls.2024.1450831
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-y10:5(803-858)Online publication date: 27-Apr-2024
https://doi.org/10.1007/s41095-023-0368-y
Islam AIslam R(2024)Numerical Study of the Superhydrophobic Nature of Triply Periodic Minimal Surfaces (TPMS): Energy Characteristics of Droplet Impact, Spreading and Rebounding PhenomenaIranian Journal of Science and Technology, Transactions of Mechanical Engineering10.1007/s40997-024-00801-xOnline publication date: 4-Sep-2024
https://doi.org/10.1007/s40997-024-00801-x
Mao ADong WXie CWang HLiu YLi GHe Y(2023)Yarn-Level Simulation of Hygroscopicity of Woven TextilesIEEE Transactions on Visualization and Computer Graphics10.1109/TVCG.2022.320657929:12(5250-5264)Online publication date: 1-Dec-2023
https://dl.acm.org/doi/10.1109/TVCG.2022.3206579
Natsume TOishi MOshima MMukai N(2022)A Study on Particle-based Wettability Method Considering Adhesional and Spreading Wettings付着濡れおよび拡張濡れを考慮した粒子ベース濡れ性手法の検討The Journal of the Society for Art and Science10.3756/artsci.21.9721:2(97-110)Online publication date: 30-Jun-2022
https://doi.org/10.3756/artsci.21.97
Kocur MBogon JMayer MWitte MKarber AHenze NSchwind V(2022)Sweating Avatars Decrease Perceived Exertion and Increase Perceived Endurance while Cycling in Virtual RealityProceedings of the 28th ACM Symposium on Virtual Reality Software and Technology10.1145/3562939.3565628(1-12)Online publication date: 29-Nov-2022
https://dl.acm.org/doi/10.1145/3562939.3565628
Liu JWang MFeng FTang ALe QZhu B(2022)Hydrophobic and Hydrophilic Solid-Fluid InteractionACM Transactions on Graphics10.1145/3550454.355547841:6(1-15)Online publication date: 30-Nov-2022
https://dl.acm.org/doi/10.1145/3550454.3555478
Xing JRuan LWang BZhu BChen B(2022)Position-Based Surface Tension FlowACM Transactions on Graphics10.1145/3550454.355547641:6(1-12)Online publication date: 30-Nov-2022
https://dl.acm.org/doi/10.1145/3550454.3555476
Chen JKala VMarquez-Razon AGueidon EHyde DTeran J(2021)A momentum-conserving implicit material point method for surface tension with contact angles and spatial gradientsACM Transactions on Graphics10.1145/3450626.345987440:4(1-16)Online publication date: 19-Jul-2021
https://dl.acm.org/doi/10.1145/3450626.3459874
Ruan LLiu JZhu BSueda SWang BChen B(2021)Solid-fluid interaction with surface-tension-dominant contactACM Transactions on Graphics10.1145/3450626.345986240:4(1-12)Online publication date: 19-Jul-2021
https://dl.acm.org/doi/10.1145/3450626.3459862
Show More Cited By

View Options

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

View options

PDF

View or Download as a PDF file.

eReader

View online with eReader.

Figures

Tables

Media

View Issue’s Table of Contents