A multiscale framework for unsteady conjugate heat transfer with turbulence resolving methods — With application to rotating cavities

Carrying out unsteady conjugate heat transfer (CHT) with turbulence resolving methods is challenging due to the significant disparity in both time and length-scales that appear in the problem. The solid domain initial transient needs to be accelerated to a steady state, but time-accuracy for the solid domain temperatures fluctuations must be maintained. Many current state-of-the-art methods aim to do this by accelerating the solid domain timescale until the simulation is temporally converged, before switching to a non-accelerated solid solution that is assumed to be correct. However, this paper demonstrates that these current time domain CHT methods still introduce a long-lasting error in the solid domain temperature.