Conservative scheme for the thermodiffusion Stefan problem

DOI10.1134/S0012266113070094zbMath1307.80005MaRDI QIDQ2435155

O. V. Shcheritsa, Olga S. Mazhorova, Yurii P. Popov

Publication date: 3 February 2014

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

conservative schemefront compuntations on the moving gridfront rectification methodproblem with moving boundary conservation lawthermodiffusion Stefan Problem

Mathematics Subject Classification ID

Crystalline structure (74E15) Thermodynamics in solid mechanics (74A15) Stefan problems, phase changes, etc. (80A22) Thermodynamics of continua (80A17) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (4)

Conservative finite volume strategy for investigation of solution crystal growth techniques ⋮ Stability analysis of solution methods for a phase transition problem ⋮ Two equivalent finite volume schemes for Stefan problem on boundary-fitted grids: front-tracking and front-fixing techniques ⋮ On the properties of conservative finite volume scheme for the two-phase Stefan problem

Cites Work

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• Numerical schemes for one-dimensional Stefan-like problems with a forcing term
• Heat conduction in a melting solid
• A mathematical model for the dissolution of particlesin multi-component alloys

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