maximize


@article{AzVaWa17,
  author = {Vantzos, Orestis and Azencot, Omri and Wardetzky, Max and Rumpf,
	Martin and Ben-Chen, Mirela},
  title = {Functional Thin Films on Surfaces},
  journal = {IEEE Transactions of Visualization and Computer Graphics},
  year = {2017},
  note = {to appear},
  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. Finally, we extend our method to incorporate non-linear
	van der Waals forcing terms which stabilize the motion of the film
	and allow additional effects such as pearling.},
  pdf = {http://numod.ins.uni-bonn.de/research/papers/public/AzVaWa17.pdf 1}
}