Efficient computation of a sharp interface by spreading via phase field methods

DOI10.1016/0893-9659(89)90002-5zbMath0705.65101OpenAlexW1999438643MaRDI QIDQ918179

Eduardo Socolovsky, Gunduz Caginalp

Publication date: 1989

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(89)90002-5

zbMATH Keywords

stiff equationsStefan problemmoving boundaryfree boundarysharp interfacecritical radiusphase field methodstransition problems

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items

Numerical study of solid-liquid phase change by phase field method, A numerical procedure for solving 2D phase-field model problems, Some mathematical models in phase transition, Convergence of exponential attractors for a time splitting approximation of the Caginalp phase-field system, The Caginalp phase field systems with logarithmic nonlinear terms, Adaptive finite elements with high aspect ratio for the computation of coalescence using a phase-field model., Velocity selection in 3D dendrites: phase field computations and microgravity experiments, A unified water/ice kinematics approach for phase-field thermo-hydro-mechanical modeling of frost action in porous media, Ginzburg-Landau equation and motion by mean curvature. I: Convergence, Analysis and applications of the exponential time differencing schemes and their contour integration modifications, Computation of sharp phase boundaries by spreading: The planar and spherically symmetric cases

Cites Work

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• Phase field models and sharp interface limits: Some differences in subtle situations
• Numerical simulations of nonlinear phase transitions—I. The isotropic case
• A Numerical Analysis of an Anisotropic Phase Field Model