Computing the effective diffusivity using a spectral method

Jingzhi Zhu, Long-qing Chen, Jie Shen, Veena Tikare

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We developed a numerical method for computing the effective properties of a microstructure. The method is particularly efficient and accurate for microstructures with a diffuse-interface description similar to those generated from phase-field simulations. In particular, we considered the diffusive transport property of a microstructure by solving the steady-state diffusion equation using a Fourier-Chebyshev spectral method. Computed effective diffusivities agree very well with existing analytical solutions and computer simulations for a number of simple model systems. Combining with the phase-field model for simulating microstructure evolution, the proposed method can be applied for modeling the temporal evolution of effective properties. This is illustrated by considering grain growth and the corresponding effective transport property evolution as function of time.

Original languageEnglish (US)
Pages (from-to)135-141
Number of pages7
JournalMaterials Science and Engineering A
Volume311
Issue number1-2
DOIs
StatePublished - Jul 31 2001

Fingerprint

spectral methods
diffusivity
microstructure
Microstructure
Transport properties
transport properties
Grain growth
Numerical methods
simulation
computerized simulation
Computer simulation

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Zhu, Jingzhi ; Chen, Long-qing ; Shen, Jie ; Tikare, Veena. / Computing the effective diffusivity using a spectral method. In: Materials Science and Engineering A. 2001 ; Vol. 311, No. 1-2. pp. 135-141.
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Computing the effective diffusivity using a spectral method. / Zhu, Jingzhi; Chen, Long-qing; Shen, Jie; Tikare, Veena.

In: Materials Science and Engineering A, Vol. 311, No. 1-2, 31.07.2001, p. 135-141.

Research output: Contribution to journalArticle

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