Towards Scalable Parallel-in-Time Turbulent Flow Simulations
arXiv:1211.2437 · doi:10.1063/1.4819390
Abstract
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.
arXiv comment11 pages, 17 figures. Accepted for publication in Physics of Fluids
Cited by in corpus (6)
- Multiple Shooting Shadowing for Sensitivity Analysis of Chaotic Dynamical Systems
- Least Squares Shadowing Sensitivity Analysis of a Modified Kuramoto-Sivashinsky Equation
- A Preconditioned Multiple Shooting Shadowing Algorithm for the Sensitivity Analysis of Chaotic Systems
- The swept rule for breaking the latency barrier in time advancing PDEs
- Least Squares Shadowing for Sensitivity Analysis of Turbulent Fluid Flows
- Multigrid-in-time for sensitivity analysis of chaotic dynamical systems