Discontinuity-Driven Mesh Alignment for Evolving Discontinuities in Elastic Solids

Mihhail Berezovski, Arkadi Berezovski

Research output: Contribution to journalArticlepeer-review

Abstract

A special mesh adaptation technique and a precise discontinuity tracking are presented for an accurate, efficient, and robust adaptive-mesh computational procedure for one-dimensional hyperbolic systems of conservation laws, with particular reference to problems with evolving discontinuities in solids. The main advantage of the adaptive technique is its ability to preserve the modified mesh as close to the original fixed mesh as possible. The constructed method is applied to the martensitic phase-transition front propagation in solids.

Original languageAmerican English
JournalJournal of Computational Physics
Volume416
DOIs
StatePublished - May 1 2020

Keywords

  • Mesh alignment
  • Evolving discontinuities
  • Elastic solids
  • Conservation laws
  • Martensitic phase transition

Disciplines

  • Mathematics

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