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<titleInfo><title>Double bubbles sans toil and trouble: discrete circulation-preserving vortex sheets for soap films and foams</title></titleInfo>


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<name type="personal">
  <namePart type="given">Fang</namePart>
  <namePart type="family">Da</namePart>
  <role><roleTerm type="text">author</roleTerm> </role></name>
<name type="personal">
  <namePart type="given">Christopher</namePart>
  <namePart type="family">Batty</namePart>
  <role><roleTerm type="text">author</roleTerm> </role></name>
<name type="personal">
  <namePart type="given">Christopher J</namePart>
  <namePart type="family">Wojtan</namePart>
  <role><roleTerm type="text">author</roleTerm> </role><identifier type="local">3C61F1D2-F248-11E8-B48F-1D18A9856A87</identifier><description xsi:type="identifierDefinition" type="orcid">0000-0001-6646-5546</description></name>
<name type="personal">
  <namePart type="given">Eitan</namePart>
  <namePart type="family">Grinspun</namePart>
  <role><roleTerm type="text">author</roleTerm> </role></name>







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  <namePart></namePart>
  <identifier type="local">ChWo</identifier>
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<name type="conference">
  <namePart>SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques</namePart>
</name>



<name type="corporate">
  <namePart>Big Splash: Efficient Simulation of Natural Phenomena at Extremely Large Scales</namePart>
  <role><roleTerm type="text">project</roleTerm></role>
</name>



<abstract lang="eng">Simulating the delightful dynamics of soap films, bubbles, and foams has traditionally required the use of a fully three-dimensional many-phase Navier-Stokes solver, even though their visual appearance is completely dominated by the thin liquid surface. We depart from earlier work on soap bubbles and foams by noting that their dynamics are naturally described by a Lagrangian vortex sheet model in which circulation is the primary variable. This leads us to derive a novel circulation-preserving surface-only discretization of foam dynamics driven by surface tension on a non-manifold triangle mesh. We represent the surface using a mesh-based multimaterial surface tracker which supports complex bubble topology changes, and evolve the surface according to the ambient air flow induced by a scalar circulation field stored on the mesh. Surface tension forces give rise to a simple update rule for circulation, even at non-manifold Plateau borders, based on a discrete measure of signed scalar mean curvature. We further incorporate vertex constraints to enable the interaction of soap films with wires. The result is a method that is at once simple, robust, and efficient, yet able to capture an array of soap films behaviors including foam rearrangement, catenoid collapse, blowing bubbles, and double bubbles being pulled apart.</abstract>

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    <url displayLabel="IST-2016-608-v1+1_doublebubbles.pdf">https://research-explorer.ista.ac.at/download/1634/4867/IST-2016-608-v1+1_doublebubbles.pdf</url>
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<originInfo><publisher>ACM</publisher><dateIssued encoding="w3cdtf">2015</dateIssued><place><placeTerm type="text">Los Angeles, CA, United States</placeTerm></place>
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<language><languageTerm authority="iso639-2b" type="code">eng</languageTerm>
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  <identifier type="ISI">000358786600115</identifier><identifier type="doi">10.1145/2767003</identifier>
<part><detail type="volume"><number>34</number></detail><detail type="issue"><number>4</number></detail>
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<bibliographicCitation>
<ieee>F. Da, C. Batty, C. Wojtan, and E. Grinspun, “Double bubbles sans toil and trouble: discrete circulation-preserving vortex sheets for soap films and foams,” presented at the SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques, Los Angeles, CA, United States, 2015, vol. 34, no. 4.</ieee>
<short>F. Da, C. Batty, C. Wojtan, E. Grinspun, in:, ACM, 2015.</short>
<ama>Da F, Batty C, Wojtan C, Grinspun E. Double bubbles sans toil and trouble: discrete circulation-preserving vortex sheets for soap films and foams. In: Vol 34. ACM; 2015. doi:&lt;a href=&quot;https://doi.org/10.1145/2767003&quot;&gt;10.1145/2767003&lt;/a&gt;</ama>
<apa>Da, F., Batty, C., Wojtan, C., &amp;#38; Grinspun, E. (2015). Double bubbles sans toil and trouble: discrete circulation-preserving vortex sheets for soap films and foams (Vol. 34). Presented at the SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques, Los Angeles, CA, United States: ACM. &lt;a href=&quot;https://doi.org/10.1145/2767003&quot;&gt;https://doi.org/10.1145/2767003&lt;/a&gt;</apa>
<ista>Da F, Batty C, Wojtan C, Grinspun E. 2015. Double bubbles sans toil and trouble: discrete circulation-preserving vortex sheets for soap films and foams. SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques vol. 34, 149.</ista>
<mla>Da, Fang, et al. &lt;i&gt;Double Bubbles sans Toil and Trouble: Discrete Circulation-Preserving Vortex Sheets for Soap Films and Foams&lt;/i&gt;. Vol. 34, no. 4, 149, ACM, 2015, doi:&lt;a href=&quot;https://doi.org/10.1145/2767003&quot;&gt;10.1145/2767003&lt;/a&gt;.</mla>
<chicago>Da, Fang, Christopher Batty, Chris Wojtan, and Eitan Grinspun. “Double Bubbles sans Toil and Trouble: Discrete Circulation-Preserving Vortex Sheets for Soap Films and Foams,” Vol. 34. ACM, 2015. &lt;a href=&quot;https://doi.org/10.1145/2767003&quot;&gt;https://doi.org/10.1145/2767003&lt;/a&gt;.</chicago>
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