@Article{CiCP-18-577,
author = {Tobias Grafke, Rainer Grauer and Stephan Schindel},
title = {Efficient Computation of Instantons for Multi-Dimensional Turbulent Flows with Large Scale Forcing},
journal = {Communications in Computational Physics},
year = {2018},
volume = {18},
number = {3},
pages = {577--592},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.031214.200415a},
url = {http://global-sci.org/intro/article_detail/cicp/11041.html}
}