Monte Carlo approach to turbulence
High Energy Physics - Lattice
2010-11-05 v1 Fluid Dynamics
Abstract
The behavior of the one-dimensional random-force-driven Burgers equation is investigated in the path integral formalism on a discrete space-time lattice. We show that by means of Monte Carlo methods one may evaluate observables, such as structure functions, as ensemble averages over different field realizations. The regularization of shock solutions to the zero-viscosity limit (Hopf-equation) eventually leads to constraints on lattice parameters required for the stability of the simulations. Insight into the formation of localized structures (shocks) and their dynamics is obtained.
Cite
@article{arxiv.0911.0592,
title = {Monte Carlo approach to turbulence},
author = {P. Düben and D. Homeier and K. Jansen and D. Mesterhazy and G. Münster},
journal= {arXiv preprint arXiv:0911.0592},
year = {2010}
}
Comments
7 pages, poster presented at The XXVII International Symposium on Lattice Field Theory, July 26-31 2009, Peking University, Beijing, China