Monte Carlo approach to turbulence

Details Monte Carlo approach to turbulence Monte Carlo approach to turbulence

2009-11-03

arxiv.org/abs/0911.0592v1

PoS LAT2009:061,2009

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, poster presented at The XXVII International Symposium on Lattice Field Theory, July 26-31 2009, Peking University, Be

Scientific paper

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.

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