Functional Thin Films on Surfaces (journal version)

Orestis Vantzos, Omri Azencot, Max Wardetzky, Martin Rumpf and Mirela Ben-Chen. IEEE Transactions on Visualization and Computer Graphics 2016. 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…