Towards Scalable Parallel-in-Time Turbulent Flow Simulations
  We present a reformulation of unsteady turbulent flow simulations. The initial condition is relaxed and information is allowed to propagate both forward and backward in time. Simulations of chaotic dynamical systems with this reformulation can be proven to be well-conditioned time domain boundary value problems. The reformulation can enable scalable parallel-in-time simulation of turbulent flows. 
Qiqi Wang, Steven Gomez, Patrick Blonigan, Alastair Gregory and   Elizabeth Qian
physics.flu-dyn math.NA physics.comp-ph