Codimensional surface tension flow on simplicial complexes

Zhu, Bo; Quigley, Ed; Cong, Matthew; Solomon, Justin; Fedkiw, Ronald

doi:10.1145/2601097.2601201

Cited by 50 publications

(44 citation statements)

References 56 publications

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“…In comparison to related surface-based discretizations of thin sheets and films [Batty et al 2012;Zhu et al 2014], our focus on centimeterscale soap films justifies neglecting certain quantities: we do not track mass or thickness of the liquid, nor tangential component of the dynamics. Instead, we focus on the complex geometry of non-manifold foam structures and its attendant topology changes, moreso than any existing purely triangle mesh-based scheme for foam.…”

Section: Discussionmentioning

confidence: 99%

“…Though computationally attractive, these models concentrate the mass of the system on the (thin) liquid film, whereas in the case of bubbles the film is effectively massless relative to the surrounding air flow. Zhu et al [2014] applied a similar thin-sheet idea to inviscid liquids and films, and modeled the influence of wind by coupling to a standard dense Eulerian grid method. This approach yielded compelling animations of blowing bubbles, soap film catenoids pinching apart, and waterbell shapes, though it cannot model multi-bubble foam structures.…”

Section: Mesh-based Bubblesmentioning

confidence: 99%

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Double bubbles sans toil and trouble

Batty

Wojtan

et al. 2015

ACM Trans. Graph.

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Figure 1: A variety of dynamic foam, film, and bubble scenarios captured by our method. Left: A small foam rearranges and settles to equilibrium. Center: A snapshot of an evolving catenoid soap film joining two circular wires, an instant before the film pinches apart. Right: A bubble with a wire constricting its mid-section gradually squeezes to one side. AbstractSimulating the delightful dynamics of soap films, bubbles, and foams has traditionally required the use of a fully three-dimensional manyphase 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.

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Section: Discussionmentioning

confidence: 99%

Section: Mesh-based Bubblesmentioning

confidence: 99%

Double bubbles sans toil and trouble

Batty

Wojtan

et al. 2015

ACM Trans. Graph.

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“…Specialized Lagrangian approaches for slender viscous threads and sheets have been proposed [Batty et al 2012;Bergou et al 2010;Zhu et al 2015Zhu et al , 2014 that extend ideas from rod and shell simulation. In particular, the viscous threads of Bergou et al accurately reproduce both stationary coiling and the intricate patterns arising in a "fluid mechanical sewing machine" .…”

Section: Related Workmentioning

confidence: 99%

Variational stokes

2017

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Fig. 1. By carefully treating coupling between viscosity and pressure forces, our unified Stokes-based fluid solver can reproduce the classic liquid rope coiling instability of viscous liquids like honey, while prior grid-based methods cannot.We propose a novel unsteady Stokes solver for coupled viscous and pressure forces in grid-based liquid animation which yields greater accuracy and visual realism than previously achieved. Modern fluid simulators treat viscosity and pressure in separate solver stages, which reduces accuracy and yields incorrect free surface behavior. Our proposed implicit variational formulation of the Stokes problem leads to a symmetric positive definite linear system that gives properly coupled forces, provides unconditional stability, and treats difficult boundary conditions naturally through simple volume weights. Surface tension and moving solid boundaries are also easily incorporated. Qualitatively, we show that our method recovers the characteristic rope coiling instability of viscous liquids and preserves fine surface details, while previous grid-based schemes do not. Quantitatively, we demonstrate that our method is convergent through grid refinement studies on analytical problems in two dimensions. We conclude by offering practical guidelines for choosing an appropriate viscous solver, based on the scenario to be animated and the computational costs of different methods.

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“…Marangoni Elasticity : life time < 10 4w E e i k 2 (e i +2k) 2 Gibbs Elasticity : life time > 10 (4) where k is typically 4 µm, w E is typically 12.3. The thickness of soap film e i is given by the following:…”

Section: Surface Tensionmentioning

confidence: 99%

“…Since the soap film is extremely large with giant soap bubbles, the progress of the soap film bursting can be visually observed. Although a previous method [2] has been introduced to generate the realistic and detailed bursting phenomenon of soap bubble, the method is still computationally expensive to use in interactive applications and did not consider drainage. This paper offers a method of simulating the details of the phenomenon of soap film bursting based on hole opening propagation and position-dependent draining in real time.…”

Section: Introductionmentioning

confidence: 99%

Interactive Blow and Burst of Giant Soap Bubbles

Kim

Park

2017

Symmetry

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Previous studies on virtual soap bubbles mainly focused on methods for visualizing the physical and geometrical properties of soap bubbles and paid little attention to the possible ways to enhance the interaction between the simulation and the user. In this paper, a user interaction-based giant soap bubble simulation system is proposed in which the free-form shape, size, and position of giant soap bubbles are determined by the user's hand motions. Our method improves the controllability of soap bubble simulation by correcting the jerky hand trajectory and hand velocity to a smooth and gradual path. Our air flow transfer algorithm can produce detailed deformation and standing wave for soap film in real time. Our novel soap film bursting algorithm represents the process of the bursting phenomenon of soap-film and giant soap bubbles in a unified framework. The results of our experiment demonstrate that the system allows the user to experience the giant soap bubble blowing and bursting process in a virtual environment.

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Codimensional surface tension flow on simplicial complexes

Cited by 50 publications

References 56 publications

Double bubbles sans toil and trouble

Double bubbles sans toil and trouble

Variational stokes

Interactive Blow and Burst of Giant Soap Bubbles

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