Monte Carlo simulations of the randomly forced Burgers equation
Düben P, Homeier D, Jansen K, Mesterhazy D, Münster G, Urbach C
Research article (journal) | Peer reviewedAbstract
The behaviour of the one-dimensional random-forced Burgers equation is investigated in the path integral formalism, using 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. Copyright (C) EPLA, 2008
Details about the publication
Journal: Europhysics Letters (EPL)
Volume: 84
Issue: 4
Page range: 40002null
Status: Published
Release year: 2008 (30/11/2008)
Language in which the publication is written: English
Keywords: korteweg-devries equation small dispersion limit intermittency turbulence
Authors from the University of Münster
| Münster, Gernot |
Projects the publication originates from
Duration: 27/09/2007 - 31/10/2009 Funded by: DFG - Individual Grants Programme Type of project: Individual project | |
Duration: 01/01/1991 - 31/07/2019 Type of project: Own resources project |