High-resolution and high-precision direct numerical simulations (DNSs) play a central role in the elucidation of the statistical properties of turbulence. The goal of this discussion meeting is to make a realistic list of what we would like from the next, state-of-the-art, three-dimensional simulations of turbulence in hydrodynamical equations [e.g., the Navier-Stokes (NS) and the magnetohydrodynamic (MHD) equations]. In particular, we hope to assess what we can achieve, over the next five years or so, in the following: spatial resolution; Reynolds numbers, Prandtl numbers, etc.; numerical precision; lengths of integration in time; added particles or fields.We hope that our discussions at this meeting will help us to evolve guidelines for the next very large DNSs when (a) suitable computers and (b) appropriate scientists become available. We can already identify some preliminary efforts that are needed to facilitate such DNSs, e.g., the preparation of software that can easily and very ...
Description