Open AccessStefan Problem with Internal Heat Generation: Comparison of Numerical Modeling and Analytical Solution
Author(s) -
John Crepeau,
A.Yu. Sakhnov,
V. S. Naumkin
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1369/1/012025
Subject(s) - thermal conduction , internal heating , heat equation , stefan problem , node (physics) , heat generation , rod , mechanics , mathematics , thermodynamics , computer science , physics , mathematical analysis , medicine , boundary (topology) , alternative medicine , pathology , quantum mechanics
The Stefan problem with internal heat generation can be found in various industrial applications. In particular, this problem describes melting of nuclear fuel rods during a reactor emergency. The present study reports on numerical modeling of the heat conduction equation and the Stefan equation with an application of the method of catching of the front into a space grid node. To solve numerically the heat conduction equation we realized an implicit four-node scheme using the Thomas method and iteration procedure.