Monte Carlo approach to turbulence Export

@article{citeulike:6066222, 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.}, archivePrefix = {arXiv}, author = {D\"{u}ben, P. and Homeier, D. and Jansen, K. and Mesterhazy, D. and M\"{u}nster, G.}, citeulike-article-id = {6066222}, citeulike-linkout-0 = {http://arxiv.org/abs/0911.0592}, citeulike-linkout-1 = {http://arxiv.org/pdf/0911.0592}, day = {3}, eprint = {0911.0592}, keywords = {turbulence}, month = {Nov}, posted-at = {2009-11-04 03:28:58}, priority = {2}, title = {Monte Carlo approach to turbulence}, url = {http://arxiv.org/abs/0911.0592}, year = {2009} }

TY - JOUR ID - citeulike:6066222 L3 - citeulike-article-id:6066222 N2 - 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. TI - Monte Carlo approach to turbulence KW - turbulence AU - Düben, P AU - Homeier, D AU - Jansen, K AU - Mesterhazy, D AU - Münster, G PY - 2009/Nov/03/ UR - http://arxiv.org/abs/0911.0592 ER -