Computation of sharp phase boundaries by spreading: The planar and spherically symmetric cases

DOI10.1016/0021-9991(91)90254-IzbMath0732.65116OpenAlexW1976106537MaRDI QIDQ808670

Gunduz Caginalp, Eduardo Socolovsky

Publication date: 1991

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(91)90254-i

zbMATH Keywords

phase field modelphase transitionsmoving boundaryfree boundary problemssharp interface

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05)

Related Items

A simple moving mesh method for one- and two-dimensional phase-field equations, Thermodynamically-consistent phase-field models for solidification, Numerical study of solid-liquid phase change by phase field method, A numerical procedure for solving 2D phase-field model problems, A phase-field theory for solidification based on a general anisotropic sharp-interface theory with interfacial energy and entropy, A simple level set method for solving Stefan problems, The phase-field method in the sharp-interface limit: A comparison between model potentials, Velocity selection in 3D dendrites: phase field computations and microgravity experiments, A level set method for thin film epitaxial growth, A unified water/ice kinematics approach for phase-field thermo-hydro-mechanical modeling of frost action in porous media, A moving mesh method for the solution of the one-dimensional phase-field equations, Computation of dendrites using a phase field model

Uses Software

• PDECOL

Cites Work

• Unnamed Item
• Efficient computation of a sharp interface by spreading via phase field methods
• An analysis of a phase field model of a free boundary
• Shape instabilities and pattern formation in solidification: A new method for numerical solution of the moving boundary problem
• Difference Schemes for Degenerate Parabolic Equations
• Numerical simulations of nonlinear phase transitions—I. The isotropic case
• A Numerical Analysis of an Anisotropic Phase Field Model
• Algorithm 540: PDECOL, General Collocation Software for Partial Differential Equations [D3]
• Stefan and Hele-Shaw type models as asymptotic limits of the phase-field equations