A hybrid level-set / embedded boundary method applied to solidification-melt problems

In this paper, we introduce a novel way to represent the interface for two-phase flows with phase change. We combine a level-set method with a Cartesian embedded boundary method and take advantage of both. This is part of an effort to obtain a numerical strategy relying on Cartesian grids allowing t...

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Bibliographic Details
Published in:Journal of computational physics Vol. 474; p. 111829
Main Authors: Limare, A., Popinet, S., Josserand, C., Xue, Z., Ghigo, A.
Format: Journal Article
Language:English
Published: Elsevier Inc 01.02.2023
Elsevier
Subjects:
Embedded boundary
Finite volume
Fluid mechanics
High-order
Level-set
Mechanics
Phase change
Physics
Level-set
Embedded boundary
Finite volume
High-order
Phase change
ISSN:0021-9991, 1090-2716
Online Access:Get full text
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Summary:In this paper, we introduce a novel way to represent the interface for two-phase flows with phase change. We combine a level-set method with a Cartesian embedded boundary method and take advantage of both. This is part of an effort to obtain a numerical strategy relying on Cartesian grids allowing the simulation of complex boundaries with possible change of topology while retaining a high-order representation of the gradients on the interface and the capability of properly applying boundary conditions on the interface. This leads to a two-fluid conservative second-order numerical method. The ability of the method to correctly solve Stefan problems, onset dendrite growth with and without anisotropy is demonstrated through a variety of test cases. Finally, we take advantage of the two-fluid representation to model a Rayleigh–Bénard instability with a melting boundary.
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2022.111829