Finite difference solution of one-dimensional Stefan problem with periodic boundary conditions.

DOI10.1016/S0017-9310(03)00050-4zbMath1041.80004OpenAlexW2048572779MaRDI QIDQ1423405

D. Massart

Publication date: 14 February 2004

Published in: International Journal of Heat and Mass Transfer (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0017-9310(03)00050-4

zbMATH Keywords

Finite difference methodStefan problemMoving boundary problem

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20) Boundary element methods applied to problems in thermodynamics and heat transfer (80M15)

Related Items (15)

A Stefan problem with moving phase change material, variable thermal conductivity and periodic boundary condition ⋮ Unnamed Item ⋮ One-dimensional solidification of pure materials with a time periodically oscillating temperature boundary condition ⋮ The method of approximate fundamental solutions (MAFS) for Stefan problems ⋮ Approximate analytical and numerical solutions for a two-dimensional Stefan problem ⋮ An accurate numerical solution for the transient heating of an evaporating spherical droplet ⋮ A meshless method for one-dimensional Stefan problems ⋮ Transient heating of an evaporating droplet ⋮ Exponential numerical methods for one-dimensional one-phase Stefan problems ⋮ A cell-by-cell thermally driven mushy cell tracking algorithm for phase-change problems. I: Concept for tracking the moving front without natural convection. ⋮ Analytical solution for one-dimensional radial flow caused by line source in porous medium with threshold pressure gradient ⋮ On the refined integral method for the one-phase Stefan problem with time-dependent boundary conditions ⋮ Finite-difference methods with increased accuracy and correct initialization for one-dimensional Stefan problems ⋮ A novel hybrid method based cubic B-spline for one-dimensional Stefan problem with moving PCM, size-dependent thermal conductivity and periodic boundary condition ⋮ Numerical difference solution of moving boundary random Stefan problems

This page was built for publication: Finite difference solution of one-dimensional Stefan problem with periodic boundary conditions.