Abstract
The one-phase Stefan problem in enthalpy formulation, describing the freezing of initially supercooled droplets that impact on solid surfaces, is solved numerically by the finite volume method on a non-orthogonal body fitted coordinate system, numerically generated. The general case of third order boundary conditions on the droplet is considered. The numerical results for the simple case of a spherical droplet touching a surface at first order boundary conditions are validated well by the known 1D asymptotic solution. The proposed solution method occurs faster than another method, based on ADI implicit finite-difference scheme in cylindrical coordinates, for the same droplet shapes.
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Popov, N., Tabakova, S., Feuillebois, F. (2005). Numerical Modelling of the One-Phase Stefan Problem by Finite Volume Method. In: Li, Z., Vulkov, L., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2004. Lecture Notes in Computer Science, vol 3401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31852-1_55
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DOI: https://doi.org/10.1007/978-3-540-31852-1_55
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-24937-5
Online ISBN: 978-3-540-31852-1
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