A moving grid numerical scheme for multi-dimensional solidification with transition temperature range

DOI10.1016/S0045-7825(99)00305-9zbMath0977.76061MaRDI QIDQ1584917

R. Smith

Publication date: 17 January 2002

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

method of linesfinite difference discretizationthermodynamic equilibriummoving grid pointsrectangular regiondynamic compatibility conditionsmulti-dimensional solidificationphase change boundaries

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Multiphase and multicomponent flows (76T99) Finite difference methods applied to problems in fluid mechanics (76M20) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items

A finite-element toolbox for the simulation of solid-liquid phase-change systems with natural convection, Numerical simulation of a phase transition problem with natural convection using hybrid FEM/EFGM technique, A non-physical enthalpy method for the numerical solution of isothermal solidification, Stability and finite element approximation of phase change models for natural convection in porous media, A projection scheme for phase change problems with convection, A NUMERICAL SIMULATION OF CONVECTIVE FLOW IN THE SOLIDIFICATION PROCESS

Cites Work

• Unnamed Item
• Treatment of multi-dimensional moving boundary problems by coordinate transformation
• A continuum model for momentum, heat and species transport in binary solid-liquid phase change systems. I. Model formulation. II. Application to solidification in a rectangular cavity
• Numerical solution of moving boundary problems by boundary immobilization and a control-volume-based finite-difference scheme
• Accurate solutions of moving boundary problems using the enthalpy method
• Finite element simulations involving simultaneous multiple interface fronts in phase change problems
• Front tracking for the supercooled Stefan problem
• Moving grid scheme for multiple moving boundaries
• A front-tracking method for dendritic solidification
• A numerical solution of the multidimensional solidification (or melting) problem
• Fixed grid techniques for phase change problems: A review
• Implicit Finite—difference Solutions of the Enthalpy Formulation of Stefan Problems
• A Comparative Study of Numerical Methods for Moving Boundary Problems
• An alternating direction method for multi-dimensional parabolic free surface problems
• A numerical method for solving the two‐dimensional unsteady solidification problem with the motion of melt by using the boundary‐fitted co‐ordinate system
• Moving boundaries due to distributed sources in a slab