Bochum 2015 – wissenschaftliches Programm
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P: Fachverband Plasmaphysik
P 14: Poster Session - Theory and Modelling
P 14.3: Poster
Dienstag, 3. März 2015, 16:30–18:30, Foyer Audimax
Efficient Computation of Instantons for Multi-Dimensional Turbulent Flows with Large Scale Forcing — •Stephan Schindel1, Rainer Grauer1, and Tobias Grafke2 — 1Institut für Theoretische Physik I, Ruhr-Universität Bochum, Deutschland — 2Weizmann Institute of Science, Rehovot 76100, Israel
Extreme events play a crucial role in fluid turbulence. Inspired by methods from field theory, these extreme events, their evolution and probability can be computed with help of the instanton formalism as minimizers of a suitable action functional. Due to the high number of degrees of freedom in multi-dimensional fluid flows, traditional global minimization techniques quickly become prohibitive in their memory requirements. We outline a novel method for finding the minimizing trajectory in a wide class of problems that typically occurs in turbulence setups, where the underlying dynamical system is a non-gradient, non-linear partial differential equation, and the forcing is restricted to a limited length scale. We demonstrate the efficiency of the algorithm in terms of performance and memory by computing high resolution instanton field configurations corresponding to viscous shocks for 1D and 2D compressible flows.