A discontinuous Galerkin method for mathematical modeling of ice melting at the interaction with the environment

A Stefan problem with a moving boundary in a heterogeneous two-phase medium is considered. For solving the Stefan problem, a discontinuous Galerkin method in a nonsymmetrical Inner Penalty formulation is used. We propose to split the problem solution into a discontinuous component in the phase trans...

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Bibliographic Details
Published in:IOP conference series. Earth and environmental science 2018-10, Vol.193 (1), p.12043
Main Author: Markov, S I
Format: Article
Language:English
Subjects:
Galerkin method
Mathematical analysis
Mathematical models
Melting
Multiscale analysis
Phase transitions
Transition zone
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Summary:A Stefan problem with a moving boundary in a heterogeneous two-phase medium is considered. For solving the Stefan problem, a discontinuous Galerkin method in a nonsymmetrical Inner Penalty formulation is used. We propose to split the problem solution into a discontinuous component in the phase transition zone and a continuous component outside the phase transition zone. A multiscale method allows to reduce a number of freedom degrees by using the discontinuous Galerkin method in the phase transition zone only. Mathematical modeling results of the ice melting at the interaction with the environment are given.
ISSN:1755-1307
1755-1315
1755-1315
DOI:10.1088/1755-1315/193/1/012043