A finite element enthalpy technique for solving coupled nonlinear heat conduction/mass diffusion problems with phase change

DOI10.1108/EUM0000000004093zbMath0884.76044MaRDI QIDQ5689591

Roland W. Lewis, R. L. McAdie, James T. Cross, David T. Gethin

Publication date: 1 April 1998

Published in: International Journal of Numerical Methods for Heat & Fluid Flow (Search for Journal in Brave)

zbMATH Keywords

Newton-Raphson methodsecant methodEuler backward difference schemeaverage solute concentrationenthalpy-temperature relationshipfixed grid techniqueregula falsi techniquesolid mass fractiontwo-dimensional four-noded quadrilaterals

Mathematics Subject Classification ID

Related Items (1)

Finite element modelling of the squeeze casting process

Cites Work

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• 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
• A continuum model for the propagation of discrete phase-change fronts in porous media in the presence of coupled heat flow, fluid flow and species transport processes
• Numerical computation of the free boundary for the two-dimensional Stefan problem by space-time finite elements
• Consistent linearization in mechanics of solids and structures

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