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This study develops a computationally efficient phase-field lattice Boltzmannmodel with the capability to simulate thermocapillary flows. The model wasimplemented into the open-source simulation framework, waLBerla, and extendedto conduct the collision stage using central moments. The multiphase model wascoupled with both a passive-scalar thermal LB, and a RK solution to the energyequation in order to resolve temperature-dependent surface tension phenomena.Various lattice stencils (D3Q7, D3Q15, D3Q19, D3Q27) were tested for thepassive-scalar LB and both the second- and fourth-order RK methods wereinvestigated. There was no significant difference observed in the accuracy ofthe LB or RK schemes. The passive scalar D3Q7 LB discretisation tended toprovide computational benefits, while the second order RK scheme is superior inmemory usage. This paper makes contributions relating to the modelling ofthermocapillary flows and to understanding the behaviour of droplet capturewith thermal sources analogous to thermal tweezers. Four primary contributionsto the literature are identified. First, a new 3D thermocapillary,central-moment phase-field LB model is presented and implemented in theopen-source software, waLBerla. Second, the accuracy and computationalperformance of various techniques to resolve the energy equation formultiphase, incompressible fluids is investigated. Third, the dynamic droplettransport behaviour in the presence of thermal sources is studied and insightis provided on the potential ability to manipulate droplets based on localdomain heating. Finally, a concise analysis of the computational performancetogether with near-perfect scaling results on NVIDIA and AMD GPU-clusters isshown. This research enables the detailed study of droplet manipulation andcontrol in thermocapillary devices.

Development of a central-moment phase-field lattice Boltzmann model for thermocapillary flows: Droplet capture and computational performance