Fast Numerical simulations of 2D turbulence using a dynamic model for Subgrid Motions

Details Fast Numerical simulations of 2D turbulence using a dynamic model for Subgrid Motions Fast Numerical simulations of 2D turbulence using a dynamic model for Subgrid Motions

2001-01-05

arxiv.org/abs/physics/0101037v1

Journal of Computational Physics, vol 196 (1), pp 184-207 (2004)

Physics

Fluid Dynamics

35 pages, 9 figures

Scientific paper

10.1016/j.jcp.2003.10.022

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.

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