Deep reinforcement learning for the control of conjugate heat transfer

Elie Hachem (1) , Hassan Ghraieb (1) , Jonathan Viquerat (1) , Aurélien Larcher (1) , P. Meliga (1)

1 CEMEF - Centre de Mise en Forme des Matériaux

This research gauges the ability of deep reinforcement learning (DRL) techniques to assist the control of conjugate heat transfer systems governed by the coupled Navier–Stokes and heat equations. It uses a novel, “degenerate” version of the proximal policy optimization (PPO) algorithm, intended for situations where the optimal policy to be learnt by a neural network does not depend on state, as is notably the case in optimization and open-loop control problems. The numerical reward fed to the neural network is computed with an in-house stabilized finite elements environment combining variational multi-scale (VMS) modeling of the governing equations, immerse volume method, and multi-component anisotropic mesh adaptation. Several test cases of natural and forced convection in two and three dimensions are used as testbed for developing the methodology. The approach successfully alleviates the natural convection induced enhancement of heat transfer in a two-dimensional, differentially heated square cavity controlled by piece-wise constant fluctuations of the sidewall temperature. It also proves capable of improving the homogeneity of temperature across the surface of two and three-dimensional hot workpieces under impingement cooling. Various cases are tackled, in which the position of multiple cold air injectors is optimized relative to a fixed workpiece position. The flexibility of the numerical framework makes it tractable to solve also the inverse problem, i.e., to optimize the workpiece position relative to a fixed injector distribution. The obtained results showcase the potential of the method for black-box optimization of practically meaningful computational fluid dynamics (CFD) conjugate heat transfer systems. More significantly, they stress how DRL can reveal unanticipated solutions or parameter relations (as the optimal workpiece position under symmetrical actuation turns to be offset from the symmetry axis), in addition to being a tool for optimizing searches in large parameter spaces.

Mots clés: Deep Reinforcement Learning; Artificial Neural Networks; Conjugate heat transfer; Computational fluid dynamics; Thermal control

Domaines: Mécanique des fluides [physics.class-ph]; Physique [physics]; Mécanique [physics]; Sciences de l'ingénieur [physics]

Elie Hachem, Hassan Ghraieb, Jonathan Viquerat, Aurélien Larcher, P. Meliga. Deep reinforcement learning for the control of conjugate heat transfer. Journal of Computational Physics, 2021, 436, pp.110317. ⟨10.1016/j.jcp.2021.110317⟩. ⟨hal-03027923v2⟩