Nonlinear preconditioning for diffuse interfaces

Research output: Contribution to journalArticlepeer-review

50 Scopus citations

Abstract

A method of transforming problems with diffuse interfaces is presented which leads to equations that are easier to compute accurately. Information obtained by internal layer asymptotic analysis is utilized to motivate transformations of the dependent variables. The new evolution equations which result from this change of variables can be solved numerically in a straightforward manner. Numerical experiments indicate that truncation errors can be significantly reduced in such problems, allowing a coarser grid to be used. Applications to several well-known models are presented.

Original languageEnglish (US)
Pages (from-to)695-711
Number of pages17
JournalJournal of Computational Physics
Volume174
Issue number2
DOIs
StatePublished - Dec 10 2001
Externally publishedYes

Keywords

  • Diffuse interface methods
  • Preconditioning

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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