Parameters of DNS database

The following table gives a a brief listing of parameter ranges covered by the DNS database that we have accumulated to-date. The first four rows refer to simulations of stationary (forced) isotropic turbulence, with scalar fluctuations maintained by a uniform mean gradient. The last two are for turbulence in solid-body rotation and unsteady mixing with nonpremixed initial conditions. Most of the simulations are for at least several eddy-turnover times. Data archived include Eulerian instantaneous snapshots of velocity and scalar fields, and Lagrangian time series of position, velocity, velocity gradients and (in some cases) scalar and scalar gradient fluctuations.

Fixed parameter	grid up to..	Varied parameters
Sc=1/8, 1	2048³	Re = 38, 90, 140, 240, 400, 700
Re=38	512³	Sc = 1/4, 1, 4, 16, 32, 64
Re=8	512³	Sc = 1/4, 1, 4, 8, 16, 32, 64, 128, 256, 512, 1024
Re=140, Sc=1/8, 1	2048³	Sc = 4, 64
Re₀=140, Sc=1/8, 1	512³	Ro^w = 4, 1, 1/4
Re₀=240, Sc=1/8, 1	1024³	Ro^w = 4, 1, 1/4

Re is the Reynolds number based on the Taylor microscale.
Ro^w is the Rossby number based on the Kolmogorov time scale.
Re₀ is the initial Re (before rotation)

We are continuing to generate new data, e.g. high-Schmidt-number mixing at larger values of the Reynolds number, and analyzing the data for further understanding. We also are enlisting the help of supercomputer consultants to port (and modify as needed) our codes on next-generation machines including the IBM BlueGene , which should be sufficiently powerful for 4096³.

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