Functional thin films on surfaces

Azencot, Omri; Vantzos, Orestis; Wardetzky, Max; Rumpf, Martin; Ben‐Chen, Mirela

doi:10.1145/2786784.2786793

Cited by 30 publications

(34 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this case, the Navier-Stokes equations can be reduced to a fourth-order PDE in which viscosity dominates and inertia is negligible [Craster and Matar 2006]. This model has recently been used in graphics to animate thin films flowing on triangle meshes [Azencot et al 2015]; while our physical model differs, we adapt elements of their discretization technique.…”

Section: Related Workmentioning

confidence: 99%

See 1 more Smart Citation

A multi-scale model for simulating liquid-hair interactions

et al. 2017

View full text Add to dashboard Cite

Fig. 1. Hair is submerged in water and then rapidly flipped, resulting in wet locks and dripping.The diverse interactions between hair and liquid are complex and span multiple length scales, yet are central to the appearance of humans and animals in many situations. We therefore propose a novel multi-component simulation framework that treats many of the key physical mechanisms governing the dynamics of wet hair. The foundations of our approach are a discrete rod model for hair and a particle-in-cell model for fluids. To treat the thin layer of liquid that clings to the hair, we augment each hair strand with a height field representation. Our contribution is to develop the necessary physical and numerical models to evolve this new system and the interactions among its components. We develop a new reduced-dimensional liquid model to solve the motion of the liquid along the length of each hair, while accounting for its moving reference frame and influence on the hair dynamics. We derive a faithful model for surface tension-induced cohesion effects between adjacent hairs, based on the geometry of the liquid bridges that connect them. We adopt an empirically-validated drag model to treat the effects of coarse-scale interactions between hair and surrounding fluid, and propose new volume-conserving dripping and absorption strategies to transfer liquid between the reduced and particle-in-cell liquid representations. The synthesis of these techniques yields an effective wet hair simulator, which we use to animate hair flipping, an animal shaking itself dry, a spinning car wash roller brush dunked in liquid, and intricate hair coalescence effects, among several additional scenarios.

show abstract

Section: Related Workmentioning

confidence: 99%

“…We evaluate a surface-tension induced vertex-based pressure p i = σ (Lh) i , where L is the univariate second finite difference operator and σ (Lh) i accounts for the surface tension energetic preference for linearly varying height fields [Azencot et al 2015].…”

Section: Hair-reduced Liquid Simulationmentioning

confidence: 99%

A multi-scale model for simulating liquid-hair interactions

et al. 2017

View full text Add to dashboard Cite

show abstract

“…Other models considering droplet phenomena can be found in the work on droplet and liquid ow on solid objects from Wang et al [2005], using signed distance functions, and Azencot et al [2015], using meshes. Also, with similar motivation to ours for droplets, interactions between other small-scale multi-phase phenomena have been considered, such as bubbles [Busaryev et al 2012;Patkar et al 2013].…”

Section: Related Workmentioning

confidence: 99%

Physically-based droplet interaction

Jones¹,

Southern²

2017

Proceedings of the ACM SIGGRAPH / Eurographics Symposium on Computer Animation

View full text Add to dashboard Cite

In this paper we present a physically-based model for simulating realistic interactions between liquid droplets in an e cient manner. Our particle-based system recreates the coalescence, separation and fragmentation interactions that occur between colliding liquid droplets and allows systems of droplets to be meaningfully represented by an equivalent number of simulated particles. By considering the interactions speci c to liquid droplet phenomena directly, we display novel levels of detail that cannot be captured using other interaction models at a similar scale. Our work combines experimentally validated components, originating in engineering, with a collection of novel modi cations to create a particle-based interaction model for use in the development of mid-to-large scale dropletbased liquid spray e ects. We demonstrate this model, alongside a size-dependent drag force, as an extension to a commonly-used ballistic particle system and show how the introduction of these interactions improves the quality and variety of results possible in recreating liquid droplets and sprays, even using these otherwise simple systems.

show abstract

“…Initially, we propose to optimize for a set of vector fields and use linear transport, i.e., taking only the first two terms of the matrix exponential. This approach works well in scenarios as fluid simulation [AWO*14, AVW*15] where the Courant–Friedrichs–Lewy (CFL) condition limits propagation speeds and thus restricts the dynamic time step to be small. However, it is sometimes necessary to find a single vector field; a constraint that is rarely attainable with the linearized formulation as the required time step for matching might be too big.…”

Section: Introductionmentioning

confidence: 99%

Advection‐Based Function Matching on Surfaces

Azencot

Vantzos

Ben‐Chen

2016

Computer Graphics Forum

Self Cite

View full text Add to dashboard Cite

A tangent vector field on a surface is the generator of a smooth family of maps from the surface to itself, known as the flow. Given a scalar function on the surface, it can be transported, or advected, by composing it with a vector field's flow. Such transport is exhibited by many physical phenomena, e.g., in fluid dynamics. In this paper, we are interested in the inverse problem: given source and target functions, compute a vector field whose flow advects the source to the target. We propose a method for addressing this problem, by minimizing an energy given by the advection constraint together with a regularizing term for the vector field. Our approach is inspired by a similar method in computational anatomy, known as LDDMM, yet leverages the recent framework of functional vector fields for discretizing the advection and the flow as operators on scalar functions. The latter allows us to efficiently generalize LDDMM to curved surfaces, without explicitly computing the flow lines of the vector field we are optimizing for. We show two approaches for the solution: using linear advection with multiple vector fields, and using non‐linear advection with a single vector field. We additionally derive an approximated gradient of the corresponding energy, which is based on a novel vector field transport operator. Finally, we demonstrate applications of our machinery to intrinsic symmetry analysis, function interpolation and map improvement.

show abstract

Functional thin films on surfaces

Cited by 30 publications

References 27 publications

A multi-scale model for simulating liquid-hair interactions

A multi-scale model for simulating liquid-hair interactions

Physically-based droplet interaction

Advection‐Based Function Matching on Surfaces

Contact Info

Product

Resources

About