Fast Numerical simulations of 2D turbulence using a dynamic model for Subgrid Motions
Abstract
We present numerical simulation of 2D turbulent flow using a new model for the subgrid scales which are computed using a dynamic equation linking the subgrid scales with the resolved velocity. This equation is not postulated, but derived from the constitutive equations under the assumption that the non-linear interactions of subgrid scales between themselves are equivalent to a turbulent viscosity.The performances of our model are compared with Direct Numerical Simulations of decaying and forced turbulence. For a same resolution, numerical simulations using our model allow for a significant reduction of the computational time (of the order of 100 in the case we consider), and allow the achievement of significantly larger Reynolds number than the direct method.
Cite
@article{arxiv.physics/0101037,
title = {Fast Numerical simulations of 2D turbulence using a dynamic model for Subgrid Motions},
author = {J. -P. Laval and B. Dubrulle and S. Nazarenko},
journal= {arXiv preprint arXiv:physics/0101037},
year = {2009}
}
Comments
35 pages, 9 figures