Accelerated evolution of convective 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-Bénard 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.

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

References in corpus (16)

• Radial boundary layer structure and Nusselt number in Rayleigh-Benard convection
• Persistent Magnetic Wreaths in a Rapidly Rotating Sun
• A Comparison of Turbulent Thermal Convection Between Conditions of Constant Temperature and Constant Flux
• Prandtl and Rayleigh number dependence of heat transport in high Rayleigh number thermal convection
• The Spectral Amplitude of Stellar Convection and its Scaling in the High-Rayleigh-Number Regime
• Convectively driven shear and decreased heat flux
• Extended subadiabatic layer in simulations of overshooting convection
• Towards a new generation of multi-dimensional stellar evolution models: development of an implicit hydrodynamic code
• A Jacobian-free Newton-Krylov method for time-implicit multidimensional hydrodynamics
• Conduction in low Mach number flows: Part I Linear & weakly nonlinear regimes
• Dynamics of Mixed Convective--Stably-Stratified Fluids
• Effect of the radiative background flux in convection
• Comparison of different nonlinear solvers for 2D time-implicit stellar hydrodynamics
• Convective dynamics and disequilibrium chemistry in the atmospheres of giant planets and brown dwarfs
• Convective heat transport in stratified atmospheres at low and high Mach number
• Weakly non-Boussinesq convection in a gaseous spherical shell

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• Shape and size of large-scale vortices: A generic fluid pattern in geophysical fluid dynamics
• Marginally-Stable Thermal Equilibria of Rayleigh-Bénard Convection
• Convective dynamics with mixed temperature boundary conditions: why thermal relaxation matters and how to accelerate it
• Internally heated and fully compressible convection: flow morphology and scaling laws