Multicomponent diffusion simulation based on finite elements

Journal Article · Fri Oct 01 04:00:00 EDT 1999 · Metallurgical and Materials Transactions. A, Physical Metallurgy and Materials Science

DOI:https://doi.org/10.1007/s11661-999-0296-1· OSTI ID:20002002

Kozeschnik, E

A numerical model is presented to treat multicomponent, multiphase diffusion problems. Unlike other recent approaches that are based on the finite-difference method, analytical solutions, or particular thermodynamic models, a general procedure based on the finite-element technique is applied. The suggested formalism is based on the solution of the integral statement of the generalized diffusion equation. This treatment allows for a simple implementation of particular boundary conditions and can easily be extended from a one- to a multidimensional analysis. A brief overview of the formal representation of multicomponent diffusion coefficients, as suggested by Anderson and Aegren, is given. The finite-element diffusivity matrices are evaluated for a one-dimensional bar and a two-dimensional triangular element. The model is applied to some classical examples in diffusion simulation in both one and two dimensions. The results are compared to available analytical solutions or experimental data.

• Research Organization: Technical Univ. Graz (AT)
• Sponsoring Organization: Austrian Fonds zur Foerderung der Wissenschaftlichen Forschung; Department of Energy
• DOE Contract Number: AC05-96OR22464
• OSTI ID: 20002002
• Journal Information: Metallurgical and Materials Transactions. A, Physical Metallurgy and Materials Science, Journal Name: Metallurgical and Materials Transactions. A, Physical Metallurgy and Materials Science Journal Issue: 10 Vol. 30; ISSN MMTAEB
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
BOUNDARY CONDITIONS
DIFFUSION
FINITE ELEMENT METHOD
KINETICS
MATERIALS
MATHEMATICAL MODELS
THERMODYNAMICS