Abstract
This paper analyses the flow and heat transfer regimes arising in Rayleigh–Bénard convection with a melting boundary by means of numerical simulations based on the lattice Boltzmann method. By systematically varying the Rayleigh and Prandtl numbers, we unveil an intriguing spectrum of patterns and transitions. Our results provide critical insight into the mutual interplay between thermal convection, melting, and fluid dynamics, shedding light on the complex behavior of such systems.
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