A model numerical scheme for the propagation of phase transitions in solids

Bernardo Cockburn, Huiing Gau

Research output: Contribution to journalArticlepeer-review

27 Scopus citations

Abstract

In this paper, we devise a simple finite difference scheme that produces approximations to the viscosity-capillarity solutions of the equations that govern the propagation of phase transitions in solids (or to the equations of van der Waals fluids) for all positive values of the dimensionless parameter that characterizes the viscosity-capillarity solution. Numerical experiments showing the convergence properties of the method are presented.

Original languageEnglish (US)
Pages (from-to)1092-1121
Number of pages30
JournalSIAM Journal of Scientific Computing
Volume17
Issue number5
DOIs
StatePublished - Sep 1996

Keywords

  • Mixed-type conservation laws
  • Phase transitions
  • Viscosity-capillarity

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