NDLI: Functional thin films on surfaces

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Functional thin films on surfaces

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Functional thin films on surfaces

Content Provider	ACM Digital Library
Author	Vantzos, Orestis Wardetzky, Max Azencot, Omri Rumpf, Martin Ben-Chen, Mirela
Abstract	The motion of a thin viscous film of fluid on a curved surface exhibits many intricate visual phenomena, which are challenging to simulate using existing techniques. A possible alternative is to use a reduced model, involving only the temporal evolution of the mass density of the film on the surface. However, in this model, the motion is governed by a fourth-order nonlinear PDE, which involves geometric quantities such as the curvature of the underlying surface, and is therefore difficult to discretize. Inspired by a recent variational formulation for this problem on smooth surfaces, we present a corresponding model for triangle meshes. We provide a discretization for the curvature and advection operators which leads to an efficient and stable numerical scheme, requires a single sparse linear solve per time step, and exactly preserves the total volume of the fluid. We validate our method by qualitatively comparing to known results from the literature, and demonstrate various intricate effects achievable by our method, such as droplet formation, evaporation, droplets interaction and viscous fingering.
Starting Page	137
Ending Page	146
Page Count	10
File Format	PDF ZIP
ISBN	9781450334969
DOI	10.1145/2786784.2786793
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2015-08-07
Publisher Place	New York
Access Restriction	Subscribed
Subject Keyword	Thin films Flows on curved surfaces Free surface flows
Content Type	Text
Resource Type	Article

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