Computation of dendritic microstructures using a level set method

Yung Tae Kim, Nigel Goldenfeld, Jonathan Dantzig

Research output: Contribution to journalArticle

Abstract

The authors demonstrate that the level set method can be used to solve the free-boundary problem for solidification to calculate quantitatively accurate solutions for dendritic growth. They present results from simulations in two dimensions and show that the solutions converge to the steady-state predicted by the microscopic solvability theory. Time-dependent results are also compared with calculations using a phase-field model and good agreement is found for all times. Furthermore, the authors perform simulations with unequal diffusivities (a case which is not yet possible with phase-field models) and find that the prediction of A. Barbieri and J.S. Langer (1989) provides a fair quantitative fit to their results.

Original languageEnglish (US)
Pages (from-to)2471-2474
Number of pages4
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume62
Issue number2 B
DOIs
StatePublished - Aug 2000

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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