Kernels with prescribed surface tension & mobility for threshold dynamics schemes

Threshold Dynamics for Anisotropic Surface Energies∗

We study extensions of Merriman, Bence, and Osher’s threshold dynamics scheme to weighted mean curvature flow, which arises as gradient descent for anisotropic (normal dependent) surface energies. In particular, we investigate, in both two and three dimensions, those anisotropies for which the convolution kernel in the scheme can be chosen to be positive and / or to possess a positive Fourier t...

Long Range Corrections to the Vapor-Liquid Equilibrium and Surface Tension of Methane with NVT Molecular Dynamics Simulations

Threshold dynamics of singular gravity-capillary waves.

Surface wave experiments confirm predictions of a threshold amplitude for droplet ejection. Droplet ejection and spray originate from highly focused surface singularities in the simplest states. The threshold is found to be dependent on forcing frequency and surface tension in accordance with a simple scaling theory presented here. Linear stability analysis indicates that the dynamics of the ej...

Threshold Dynamics for Networks with Arbitrary Surface Tensions

نگاشت همدیس در طرح‌های انگشتی سافمن- تیلور

 We studied the growth of viscous fingers as a Laplacian growth by conformal mapping. Viscous fingers grow due to Saffman-Taylor instability in the interface between two fluids, when a less viscous fluid pushes a more viscous fluid. As there was an interest in the rectangular Hele-Shaw cell, we solved the Laplacian equation with appropriate boundary conditions by means of conformal mapping tech...