English

Accelerated evolution of convective simulations

Fluid Dynamics 2018-08-29 v2 Solar and Stellar Astrophysics

Abstract

High Peclet number, turbulent convection is a classic system with a large timescale separation between flow speeds and the thermal relaxation time. In this paper, we present a method of fast-forwarding through the long thermal relaxation of convective simulations, and we test the validity of this method. This accelerated evolution (AE) method 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 computing hours to evolve than SE solutions.

Keywords

Cite

@article{arxiv.1807.06687,
  title  = {Accelerated evolution of convective simulations},
  author = {Evan H. Anders and Benjamin P. Brown and Jeffrey S. Oishi},
  journal= {arXiv preprint arXiv:1807.06687},
  year   = {2018}
}

Comments

As published in PRFluids. 14 pages total with 6 figures, 2 tables, and 2 appendices

R2 v1 2026-06-23T03:05:05.999Z