TU Darmstadt / ULB / TUbiblio

On Computational Investigation of the Supercooled Stefan Problem

Criscione, Antonio and Kintea, Daniel and Tukovic, Zeljko and Jakirlić, Suad and Roisman, Ilia V. and Tropea, Cameron
Criscione, Antonio (ed.) (2012):
On Computational Investigation of the Supercooled Stefan Problem.
In: ICLASS 2012, 12th Triennial International Conference on Liquid Atomization and Spray Systems, [Online-Edition: http://tuprints.ulb.tu-darmstadt.de/3341],
[Conference or Workshop Item]

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 OpenFOAM©. 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.

Item Type: Conference or Workshop Item
Erschienen: 2012
Editors: Criscione, Antonio
Creators: Criscione, Antonio and Kintea, Daniel and Tukovic, Zeljko and Jakirlić, Suad and Roisman, Ilia V. and Tropea, Cameron
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 OpenFOAM©. 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.

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: 26 May 2013 19:55
Official URL: http://tuprints.ulb.tu-darmstadt.de/3341
URN: urn:nbn:de:tuda-tuprints-33417
License: Creative Commons: Attribution-No Derivative Works 3.0
Export:
Suche nach Titel in: TUfind oder in Google

Optionen (nur für Redakteure)

View Item View Item