research-article

Chemomechanical simulation of soap film flow on spherical bubbles

Authors:

Julian Iseringhausen,

Chenfanfu Jiang,

Matthias B. HullinAuthors Info & Claims

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

Article No.: 41, Pages 41:1 - 41:13

https://doi.org/10.1145/3386569.3392094

Published: 12 August 2020 Publication History

Abstract

Soap bubbles are widely appreciated for their fragile nature and their colorful appearance. The natural sciences and, in extension, computer graphics, have comprehensively studied the mechanical behavior of films and foams, as well as the optical properties of thin liquid layers. In this paper, we focus on the dynamics of material flow within the soap film, which results in fascinating, extremely detailed patterns. This flow is characterized by a complex coupling between surfactant concentration and Marangoni surface tension. We propose a novel chemomechanical simulation framework rooted in lubrication theory, which makes use of a custom semi-Lagrangian advection solver to enable the simulation of soap film dynamics on spherical bubbles both in free flow as well as under body forces such as gravity or external air flow. By comparing our simulated outcomes to videos of real-world soap bubbles recorded in a studio environment, we show that our framework, for the first time, closely recreates a wide range of dynamic effects that are also observed in experiment.

Supplemental Material

MP4 File

Presentation video

Transcript for: Presentation video

MP4 File

Download
135.19 MB

ZIP File

Supplemental files.

Download
415.39 KB

References

[1]

Ryoichi Ando, Nils Thuerey, and Chris Wojtan. 2015. A stream function solver for liquid simulations. ACM Transactions on Graphics (TOG) 34, 4 (2015), 1--9.

Digital Library

[2]

Omri Azencot, Orestis Vantzos, Max Wardetzky, Martin Rumpf, and Mirela BenChen. 2015. Functional thin films on surfaces. In Proceedings of the 14th ACM SIGGRAPH/Eurographics Symposium on Computer Animation. 137--146.

Digital Library

[3]

G. K. Batchelor. 1967. An Introduction to Fluid Dynamics. Cambridge University Press.

[4]

Laurent Belcour and Pascal Barla. 2017. A Practical Extension to Microfacet Theory for the Modeling of Varying Iridescence. ACM Trans. Graph. 36, 4, Article 65 (July 2017), 14 pages.

Digital Library

[5]

Max Born and Emil Wolf. 1970. Principles of optics: electromagnetic theory of propagation, interference and diffraction of light. Pergamon Press. 40 pages.

[6]

Robert Bridson. 2015. Fluid simulation for computer graphics. AK Peters/CRC Press.

[7]

Brian Cabral and Leith Casey Leedom. 1993. Imaging Vector Fields Using Line Integral Convolution. In Proceedings of the 20th Annual Conference on Computer Graphics and Interactive Techniques (Anaheim, CA) (SIGGRAPH '93). Association for Computing Machinery, New York, NY, USA, 263--270.

Digital Library

[8]

Jean-Marc Chomaz. 2001. The dynamics of a viscous soap film with soluble surfactant. Journal of Fluid Mechanics 442 (2001), 387--409.

[9]

Y Couder, JM Chomaz, and M Rabaud. 1989. On the hydrodynamics of soap films. Physica D: Nonlinear Phenomena 37, 1-3 (1989), 384--405.

Digital Library

[10]

Fang Da, Christopher Batty, Chris Wojtan, and Eitan Grinspun. 2015. Double Bubbles Sans Toil and Trouble: Discrete Circulation-Preserving Vortex Sheets for Soap Films and Foams. ACM Trans. on Graphics (SIGGRAPH 2015) (2015).

Digital Library

[11]

Ronald Fedkiw, Jos Stam, and Henrik Wann Jensen. 2001. Visual simulation of smoke. In Proceedings of the 28th annual conference on Computer graphics and interactive techniques. 15--22.

Digital Library

[12]

Florian Ferstl, Ryoichi Ando, Chris Wojtan, Rüdiger Westermann, and Nils Thuerey. 2016. Narrow band FLIP for liquid simulations. 35, 2 (2016), 225--232.

[13]

Nick Foster and Ronald Fedkiw. 2001. Practical animation of liquids. In Proceedings of the 28th annual conference on Computer graphics and interactive techniques. 23--30.

Digital Library

[14]

Nick Foster and Dimitri Metaxas. 1996. Realistic animation of liquids. Graphical models and image processing 58, 5 (1996), 471--483.

[15]

Theodore F Gast, Craig Schroeder, Alexey Stomakhin, Chenfanfu Jiang, and Joseph M Teran. 2015. Optimization integrator for large time steps. IEEE transactions on visualization and computer graphics 21, 10 (2015), 1103--1115.

Digital Library

[16]

C Gaulon, C Derec, T Combriat, Philippe Marmottant, and F Elias. 2017. Sound and vision: visualization of music with a soap film. European Journal of Physics 38, 4 (2017), 045804.

[17]

Morteza Gharib and Philip Derango. 1989. A liquid film (soap film) tunnel to study two-dimensional laminar and turbulent shear flows. Physica D: Nonlinear Phenomena 37, 1-3 (1989), 406--416.

Digital Library

[18]

Andrew Glassner. 2000. Soap Bubbles: Part 2. IEEE Computer Graphics and Applications 20, 6 (2000), 99--109.

Digital Library

[19]

David J Hill and Ronald D Henderson. 2016. Efficient fluid simulation on the surface of a sphere. ACM Transactions on Graphics (TOG) 35, 2 (2016), 1--9.

Digital Library

[20]

MP Ida and Michael J Miksis. 1998a. The dynamics of thin films I: General theory. SIAM J. Appl. Math. 58, 2 (1998), 456--473.

Digital Library

[21]

MP Ida and Michael J Miksis. 1998b. The dynamics of thin films II: Applications. SIAM J. Appl. Math. 58, 2 (1998), 474--500.

Digital Library

[22]

Markus Ihmsen, Jens Orthmann, Barbara Solenthaler, Andreas Kolb, and Matthias Teschner. 2014. SPH Fluids in Computer Graphics. In Eurographics 2014 - State of the Art Reports, Sylvain Lefebvre and Michela Spagnuolo (Eds.). The Eurographics Association.

[23]

Cyril Isenberg. 1978. The science of soap films and soap bubbles. Tieto Cleveton, UK.

[24]

Sadashige Ishida, Peter Synak, Fumiya Narita, Toshiya Hachisuka, and Chris Wojtan. 2020. A Model for Soap Film Dynamics with Evolving Thickness. ACM Trans. on Graphics 39, 4 (2020).

Digital Library

[25]

Sadashige Ishida, Masafumi Yamamoto, Ryoichi Ando, and Toshiya Hachisuka. 2017. A Hyperbolic Geometric Flow for Evolving Films and Foams. ACM Trans. Graph. 36, 6, Article 199 (Nov. 2017), 11 pages.

Digital Library

[26]

Kei Iwasaki, Keichi Matsuzawa, and Tomoyuki Nishita. 2004. Real-time rendering of soap bubbles taking into account light interference. In Proceedings Computer Graphics International, 2004. IEEE, 344--348.

Digital Library

[27]

Wenzel Jakob. 2010. Mitsuba renderer. http://www.mitsuba-renderer.org.

[28]

Dariusz Jaszkowski and Janusz Rzeszut. 2003. Interference colours of soap bubbles. The Visual Computer 19, 4 (2003), 252--270.

Digital Library

[29]

Namjung Kim, SaeWoon Oh, and Kyoungju Park. 2015. Giant soap bubble creation model. Computer Animation and Virtual Worlds 26, 3-4 (2015), 445--455.

Digital Library

[30]

Tom Kneiphof, Tim Golla, and Reinhard Klein. 2019. Real-time Image-based Lighting of Microfacet BRDFs with Varying Iridescence. Computer Graphics Forum 38, 4 (2019).

[31]

Miles Macklin and Matthias Müller. 2013. Position based fluids. ACM Transactions on Graphics (TOG) 32, 4 (2013), 1--12.

Digital Library

[32]

Tinihau Meuel, Yong Liang Xiong, Patrick Fischer, Charles-Henri Bruneau, Miloud Bessafi, and Hamid Kellay. 2013. Intensity of vortices: from soap bubbles to hurricanes. Scientific reports 3 (2013), 3455.

[33]

Rahul Narain, Jonas Zehnder, and Bernhard Thomaszewski. 2019. A Second-Order Advection-Reflection Solver. Proceedings of the ACM on Computer Graphics and Interactive Techniques 2, 2 (2019), 1--14.

Digital Library

[34]

Maxim Naumov, M Arsaev, Patrice Castonguay, J Cohen, Julien Demouth, Joe Eaton, S Layton, N Markovskiy, István Reguly, Nikolai Sakharnykh, et al. 2015. AmgX: A library for GPU accelerated algebraic multigrid and preconditioned iterative methods. SIAM Journal on Scientific Computing 37, 5 (2015), S602--S626.

Digital Library

[35]

Duc Quang Nguyen, Ronald Fedkiw, and Henrik Wann Jensen. 2002. Physically based modeling and animation of fire. In Proceedings of the 29th annual conference on Computer graphics and interactive techniques. 721--728.

Digital Library

[36]

Vincent Adriaan Nierstrasz and Gert Frens. 1999. Marginal regeneration and the Marangoni effect. Journal of colloid and interface science 215, 1 (1999), 28--35.

[37]

Yoichi Ochiai, Alexis Oyama, Takayuki Hoshi, and Jun Rekimoto. 2013. Theory and Application of the Colloidal Display: Programmable Bubble Screen for Computer Entertainment. In Advances in Computer Entertainment, Dennis Reidsma, Haruhiro Katayose, and Anton Nijholt (Eds.). Springer, 198--214.

[38]

Alexander Oron, Stephen H Davis, and S George Bankoff. 1997. Long-scale evolution of thin liquid films. Reviews of modern physics 69, 3 (1997), 931.

[39]

Olivier Pironneau, J Liou, and T Tezduyar. 1992. Characteristic-Galerkin and Galerkin/least-squares space-time formulations for the advection-diffusion equation with time-dependent domains. Computer Methods in Applied Mechanics and Engineering 100, 1 (1992), 117--141.

Digital Library

[40]

Ziyin Qu, Xinxin Zhang, Ming Gao, Chenfanfu Jiang, and Baoquan Chen. 2019. Efficient and conservative fluids using bidirectional mapping. ACM Transactions on Graphics (TOG) 38, 4 (2019), 128.

Digital Library

[41]

David A Randall, Todd D Ringler, Ross P Heikes, Phil Jones, and John Baumgardner. 2002. Climate modeling with spherical geodesic grids. Computing in Science & Engineering 4, 5 (2002), 32--41.

Digital Library

[42]

Osborne Reynolds. 1886. IV. On the theory of lubrication and its application to Mr. Beauchamp tower's experiments, including an experimental determination of the viscosity of olive oil. Philosophical transactions of the Royal Society of London 177 (1886), 157--234.

[43]

AW Rücker. 1877. On Black Soap Films. Nature 16 (1877), 331--333.

[44]

Robert I. Saye and James A. Sethian. 2013. Multiscale Modeling of Membrane Rearrangement, Drainage, and Rupture in Evolving Foams. Science 340, 6133 (2013), 720--724.

[45]

Robert I. Saye and James A. Sethian. 2016. Multiscale modelling of evolving foams. J. Comput. Phys. 315 (2016), 273--301.

Digital Library

[46]

F Seychelles, Y Amarouchene, Miloud Bessafi, and H Kellay. 2008. Thermal convection and emergence of isolated vortices in soap bubbles. Physical review letters 100, 14 (2008), 144501.

[47]

Brian E. Smits and Gary W. Meyer. 1992. Newton's Colors: Simulating Interference Phenomena in Realistic Image Synthesis. Springer Berlin Heidelberg, Berlin, Heidelberg, 185--194.

[48]

Jos Stam. 1999. Stable fluids. In Proceedings of the 26th annual conference on Computer graphics and interactive techniques. 121--128.

Digital Library

[49]

Yinlong Sun. 2006. Rendering Biological Iridescences with RGB-Based Renderers. ACM Trans. Graph. 25, 1 (Jan. 2006), 100--129.

Digital Library

[50]

Roman Ďurikovič. 2001. Animation of Soap Bubble Dynamics, Cluster Formation and Collision. Comput. Graph. Forum 20 (09 2001), C-67--C-75.

[51]

Bowen Yang, William Corse, Jiecong Lu, Joshuah Wolper, and Chenfanfu Jiang. 2019. Real-Time Fluid Simulation on the Surface of a Sphere. Proc. ACM Comput. Graph. Interact. Tech. 2, 1, Article 4 (June 2019), 17 pages.

Digital Library

[52]

Jonas Zehnder, Rahul Narain, and Bernhard Thomaszewski. 2018. An advection-reflection solver for detail-preserving fluid simulation. ACM Transactions on Graphics (TOG) 37, 4 (2018), 1--8.

Digital Library

[53]

Bo Zhu, Ed Quigley, Matthew Cong, Justin Solomon, and Ronald Fedkiw. 2014. Codimensional surface tension flow on simplicial complexes. ACM Transactions on Graphics (TOG) 33, 4 (2014), 111.

Digital Library

Cited By

Steinberg SRamamoorthi RBitterli BMollazainali AD'Eon EPharr M(2024)A Free-Space Diffraction BSDFACM Transactions on Graphics10.1145/365816643:4(1-15)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658166
Tao NRuan LDeng YZhu BWang BChen B(2024)A Vortex Particle-on-Mesh Method for Soap Film SimulationACM Transactions on Graphics10.1145/365816543:4(1-14)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658165
Numerow LLi YCoros SThomaszewski B(2024)Differentiable Voronoi Diagrams for Simulation of Cell-Based Mechanical SystemsACM Transactions on Graphics10.1145/365815243:4(1-11)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658152
Show More Cited By

Index Terms

Chemomechanical simulation of soap film flow on spherical bubbles
1. Computing methodologies
  1. Computer graphics
    1. Animation
      1. Physical simulation
    2. Rendering
      1. Reflectance modeling

Recommendations

A model for soap film dynamics with evolving thickness

Previous research on animations of soap bubbles, films, and foams largely focuses on the motion and geometric shape of the bubble surface. These works neglect the evolution of the bubble's thickness, which is normally responsible for visual phenomena ...
Underwater bubbles and coupling
SIGGRAPH '20: ACM SIGGRAPH 2020 Talks

We present an approach to simulating underwater bubbles. Our method is sparse in that it only simulates a thin band of water around the region of interest allowing us to achieve high resolutions in turbulent scenarios. We use a hybrid bubble ...
Computational simulation of gas flow and heat transfer near an immersed object in fluidized beds

To improve the understanding of the heat transfer mechanism and to find a reliable and simple heat-transfer model, the gas flow and heat transfer between fluidized beds and the surfaces of an immersed object is numerically simulated based on a double ...

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 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 the author(s) 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: 12 August 2020

Published in TOG Volume 39, Issue 4

Permissions

Request permissions for this article.

Request Permissions

Check for updates

Author Tags

Qualifiers

Research-article

Funding Sources

European Research Council

Contributors

Other Metrics

View Article Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

26
Total Citations
View Citations
508
Total Downloads

Downloads (Last 12 months)70
Downloads (Last 6 weeks)5

Reflects downloads up to 15 Oct 2024

Other Metrics

View Author Metrics

Citations

Cited By

Steinberg SRamamoorthi RBitterli BMollazainali AD'Eon EPharr M(2024)A Free-Space Diffraction BSDFACM Transactions on Graphics10.1145/365816643:4(1-15)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658166
Tao NRuan LDeng YZhu BWang BChen B(2024)A Vortex Particle-on-Mesh Method for Soap Film SimulationACM Transactions on Graphics10.1145/365816543:4(1-14)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658165
Numerow LLi YCoros SThomaszewski B(2024)Differentiable Voronoi Diagrams for Simulation of Cell-Based Mechanical SystemsACM Transactions on Graphics10.1145/365815243:4(1-11)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658152
Li YNumerow LThomaszewski BCoros S(2024)Differentiable Geodesic Distance for Intrinsic Minimization on Triangle MeshesACM Transactions on Graphics10.1145/365812243:4(1-14)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658122
Liu ZHuo YYang YChen JWang R(2024)Real‐Time Polygonal Lighting of Iridescence Effect using Precomputed Monomial‐GaussiansComputer Graphics Forum10.1111/cgf.1499143:6Online publication date: 20-Feb-2024
https://doi.org/10.1111/cgf.14991
Miguet JBussonnière A(2024)Absolute thickness field measurement on curved axisymmetric thin free films with monochromatic lightReview of Scientific Instruments10.1063/5.020751195:7Online publication date: 1-Jul-2024
https://doi.org/10.1063/5.0207511
Lalli NGiusti A(2024)Thin film modelling of magnetic soap filmsJournal of Fluid Mechanics10.1017/jfm.2024.335986Online publication date: 30-Apr-2024
https://doi.org/10.1017/jfm.2024.335
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
Gu MDai JChen JYan KHuang J(2024)Real‐time simulation of thin‐film interference with surface thickness variation using the shallow water equationsComputer Animation and Virtual Worlds10.1002/cav.228935:4Online publication date: 8-Aug-2024
https://doi.org/10.1002/cav.2289
Sen Loi WChau K(2023)Multiscale models of plasmonic structural colors with nanoscale surface roughnessOptics Letters10.1364/OL.47470348:7(1738)Online publication date: 23-Mar-2023
https://doi.org/10.1364/OL.474703
Show More Cited By

View Options

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

View options

PDF

View or Download as a PDF file.

eReader

View online with eReader.

Media

Figures

Other

Tables

View Issue’s Table of Contents