http://arxiv.org/abs/1807.06687
High Peclet number, turbulent convection is a classic system with a large timescale separation between flow speeds and equilibration time. In this paper, we present a method of achieving Accelerated Evolution (AE) of convective simulations which fast-forwards through the long thermal evolution of these systems, and we test the validity of this method. The AE procedure involves measuring the dynamics of convection early in a simulation and using its characteristics to adjust the mean thermodynamic profile within the domain towards its evolved state. We study Rayleigh-B\’enard convection as a test case for AE. Evolved flow properties of AE solutions are measured to be within a few percent of solutions which are reached through Standard Evolution (SE) over a full thermal timescale. At the highest values of the Rayleigh number at which we compare SE and AE, we find that AE solutions require roughly an order of magnitude fewer cpu-hours to compute than SE solutions.
E. Anders, B. Brown and J. Oishi
Thu, 19 Jul 2018
59/62
Comments: Submitted to PRFluids. 14 pages, 6 figures, 2 tables, 2 appendices