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On Computational Investigation of the Supercooled Stefan Problem

Criscione, Antonio ; Kintea, Daniel ; Tukovic, Zeljko ; Jakirlic, Suad ; Roisman, Ilia ; Tropea, Cameron
Hrsg.: Criscione, Antonio (2012)
On Computational Investigation of the Supercooled Stefan Problem.
ICLASS 2012, 12th Triennial International Conference on Liquid Atomization and Spray Systems. Heidelberg (02.09.-06.09.2012)
Konferenzveröffentlichung, Bibliographie

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Kurzbeschreibung (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.

Typ des Eintrags: Konferenzveröffentlichung
Erschienen: 2012
Herausgeber: Criscione, Antonio
Autor(en): Criscione, Antonio ; Kintea, Daniel ; Tukovic, Zeljko ; Jakirlic, Suad ; Roisman, Ilia ; Tropea, Cameron
Art des Eintrags: Bibliographie
Titel: On Computational Investigation of the Supercooled Stefan Problem
Sprache: Englisch
Publikationsjahr: 2012
Ort: Heidelberg
Veranstaltungstitel: ICLASS 2012, 12th Triennial International Conference on Liquid Atomization and Spray Systems
Veranstaltungsort: Heidelberg
Veranstaltungsdatum: 02.09.-06.09.2012
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Kurzbeschreibung (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.

Sachgruppe der Dewey Dezimalklassifikatin (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 und Maschinenbau
Fachbereich(e)/-gebiet(e): 16 Fachbereich Maschinenbau
16 Fachbereich Maschinenbau > Fachgebiet Strömungslehre und Aerodynamik (SLA)
Hinterlegungsdatum: 02 Jul 2024 22:11
Letzte Änderung: 21 Aug 2024 09:02
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