Berlin 2018 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 83: Pattern Formation II

DY 83.7: Talk

Friday, March 16, 2018, 11:45–12:00, BH-N 333

DNS of the Navier-Stokes equations — •Sebastian Richter and Michael Bestehorn — Department of Theoretical Physics, BTU, 03044, Cottbus, Germany

We present a numerical method for free-surface problems of the Navier-Stokes equations under external excitation. The evolution of a two-dimensional fluid layer on a vibrating substrate is considered. Based on the nonlinear transformation z=h(x,t)·z of the vertical coordinate, we derive an algorithm that pares the required interpolations down to the minimum. The results of our simulations show good agreement with the lubrication-approximation-based model investigated in [1] and [2].

[1] M. Bestehorn, "Laterally extended thin liquid films with inertia under external vibrations", Phys. Fluids 25, 114106 (2013)

[2] S. Richter and M. Bestehorn, "Thin-Film Faraday patterns in three dimensions", Eur. Phys. J. Special Topics 226, 1253-1261