Abstract
The melting front of a sphere of ice was simulated using the finite volume method where the water-ice interface was explicitly tracked over time as a domain boundary. We used our previously developed node shuffle algorithm—for improving mesh quality as the interface transforms—and extended this algorithm into 3-D. A hemispherical shape formed in the case of forced convection and a balloon-like shape formed when natural convection occurred; these results were also observed from existing experiments. The melting bodies became less streamlined for both cases, resulting in higher drag coefficients, although their Nusselt numbers decreased. Deformation of the computational mesh was significant, with the melting sphere reducing in volume by up to 85.3% and its surface greatly changing shape, demonstrating that the algorithm is capable of enhancing mesh transformations in moving boundary problems on 3-D unstructured grids.
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Notes
- 1.
A quantitative comparison between our results and their experiments was not undertaken because \(\text {Re}_0\) was lower in our simulations than the cases they investigated.
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Hewett, J.N., Sellier, M. (2019). Evolution of a Melting Sphere in Cross Flow Using an Arbitrary Mesh Topology. In: Gutschmidt, S., Hewett, J., Sellier, M. (eds) IUTAM Symposium on Recent Advances in Moving Boundary Problems in Mechanics. IUTAM Bookseries, vol 34. Springer, Cham. https://doi.org/10.1007/978-3-030-13720-5_18
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