Accelerated evolution of convective simulations

TL;DR

This paper introduces an accelerated evolution (AE) method for simulating high Peclet number turbulent convection, significantly reducing computational time while maintaining accuracy, demonstrated through Rayleigh-Bénard convection tests.

Contribution

The paper presents a novel AE method that speeds up convective simulation evolution by adjusting thermodynamic profiles based on early convection dynamics, validated against standard simulations.

Findings

AE solutions match standard evolution results within a few percent.

AE reduces computational hours by roughly an order of magnitude at high Rayleigh numbers.

AE is effective for high Peclet number turbulent convection simulations.

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.