Computing the effective diffusivity using a spectral method

Jingzhi Zhu, Long Qing Chen, Jie Shen, Veena Tikare

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


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
Issue number1-2
StatePublished - Jul 31 2001

All Science Journal Classification (ASJC) codes

  • General Materials Science
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


Dive into the research topics of 'Computing the effective diffusivity using a spectral method'. Together they form a unique fingerprint.

Cite this