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On Computational Investigation of the Supercooled Stefan Problem

Criscione, Antonio and Kintea, Daniel and Tukovic, Zeljko and Jakirlic, Suad and Roisman, Ilia and Tropea, Cameron
Criscione, Antonio (ed.) :

On Computational Investigation of the Supercooled Stefan Problem.
In: ICLASS 2012, 12th Triennial International Conference on Liquid Atomization and Spray Systems.
[Conference or Workshop Item], (2012)

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Item Type: Conference or Workshop Item
Title: On Computational Investigation of the Supercooled Stefan Problem
Language: English
Abstract:

In the present paper a computational model for the macroscopic freezing mechanism under supercooled conditions relying on the physical and mathematical description of the two-phase Stefan problem is formulated. The relevant numerical algorithm based on the finite volume method is implemented into the open source software OpenFOAMĀ©. For the numerical capturing of the moving interface between the supercooled and the solidified liquid an appropriate level set formulation is utilized. The heat transfer equations are solved in both the liquid phase and solid phase independently from each other. At the interface a Dirichlet boundary condition for the temperature field is imposed and a ghost-face method is applied to ensure accurate calculation of the normal derivative needed for the jump condition, i.e. for the interface-velocity in the normal direction. For the sake of updating the level set function a narrow-band around the interface is introduced. Within this band, whose width is temporally adjusted to the maximum curvature of the interface, the normal-to-interface velocity is appropriately expanded. The physical model and numerical algorithm are validated along with the analytical solution. Understanding instabilities is the first step in controlling them, so to quantify all sorts of instabilities at the solidification front the Mullins-Sekerka theory of morphological stability is investigated.

Classification DDC: 500 Naturwissenschaften und Mathematik > 500 Naturwissenschaften
500 Naturwissenschaften und Mathematik > 510 Mathematik
500 Naturwissenschaften und Mathematik > 530 Physik
600 Technik, Medizin, angewandte Wissenschaften > 620 Ingenieurwissenschaften
Divisions: 16 Department of Mechanical Engineering
16 Department of Mechanical Engineering > Fluid Mechanics and Aerodynamics (SLA)
Event Title: ICLASS 2012, 12th Triennial International Conference on Liquid Atomization and Spray Systems
Date Deposited: 23 May 2013 15:42
Last Modified: 23 May 2013 15:42
URN: urn:nbn:de:tuda-tuprints-33417
URI: http://tuprints.ulb.tu-darmstadt.de/id/eprint/3341
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