Fixed mesh front-tracking methodology for finite element simulations

P. Zhao, J. C. Heinrich, David R Poirier

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

A direct front-tracking method using an Eulerian-Lagrangian formulation is developed in two space dimensions. The front-tracking method is general in that it can track any type of interface once its local velocity is specified or has been determined by calculation. The method uses marker points to describe the interface position and tracks the interface evolution on a fixed finite-element mesh, including growth, contraction, splitting and merging. Interfacial conditions are applied directly at the interface position. The method is applied to three scenarios that involve different interface conditions and are based on energy and mass diffusion. The three calculations are for the dendritic solidification of a pure substance, the cellular growth of an alloy, and the Ostwald ripening of silica particles in silicon. Numerical results show that very complicated interface morphologies and topological changes can be simulated properly and efficiently.

Original languageEnglish (US)
Pages (from-to)928-948
Number of pages21
JournalInternational Journal for Numerical Methods in Engineering
Volume61
Issue number6
DOIs
StatePublished - Oct 14 2004

Fingerprint

Front Tracking
Finite Element Simulation
Mesh
Ostwald ripening
Methodology
Merging
Solidification
Silica
Silicon
Ostwald Ripening
Interface Conditions
Contraction
Finite Element
Numerical Results
Scenarios
Formulation
Energy

Keywords

  • Dendritic solidification
  • Interface-tracking
  • Ostwald ripening

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Applied Mathematics
  • Computational Mechanics

Cite this

Fixed mesh front-tracking methodology for finite element simulations. / Zhao, P.; Heinrich, J. C.; Poirier, David R.

In: International Journal for Numerical Methods in Engineering, Vol. 61, No. 6, 14.10.2004, p. 928-948.

Research output: Contribution to journalArticle

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