ALCF Science 1 - Argonne National Laboratory
ALCF Science 1 - Argonne National Laboratory
ALCF Science 1 - Argonne National Laboratory
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argonne leadership computing facility<br />
Materials <strong>Science</strong><br />
Large-Scale Condensed Matter and Fluid Dynamics Simulations<br />
Identifying UPOs in the Navier-Stokes Equations with HYPO4D<br />
University College London researchers are applying dynamical systems<br />
theory to three-dimensional fluid turbulence. They are taking a novel<br />
space-time variational approach using the HYPO4D code and have<br />
located several Unstable Periodic Orbits (UPOs). The main advantage of<br />
storing UPOs to represent a turbulent flow is that it needs to be done<br />
only once. In the future, the turbulent average of any given quantity<br />
can be computed directly from the UPO library with high accuracy and<br />
without the need to solve an initial value problem, using the dynamical<br />
zeta function formulation. This methodology has the potential to<br />
become a new paradigm in the study of large, driven dissipative<br />
dynamical systems, not only for the Navier-Stokes equations.<br />
INCITE Allocation:<br />
40 Million Hours<br />
INCITE PROGRAM<br />
35<br />
Snapshots of the vorticity field of a UPO located<br />
in weakly turbulent flow with Re=371 and period<br />
equal to 26864 LB time steps. The quantity shown<br />
is the magnitude of vorticity above a given cut-off<br />
level. Red corresponds to large negative vorticity<br />
(clockwise rotation), and blue to large positive<br />
vorticity (counter-clockwise rotation).<br />
Contact Peter Coveney<br />
University College London | p.v.coveney@ucl.ac.uk