Numerical simulation of dendritic solidification with convection

Three-dimensional flow

Nabeel Al-Rawahi, Gretar Tryggvason

Research output: Contribution to journalArticle

79 Citations (Scopus)

Abstract

A numerical method for the simulation of the effect of melt flow on the three-dimensional growth of a dendrite is described. The method is an extension of the technique for two-dimensional flow described in Al-Rawahi and Tryggvason [J. Comput. Phys. 180 (2002) 471] and is based on the explicit tracking of connected marker points that describe the liquid-solid interface. An explicit projection method is used to solve the energy and the Navier-Stokes equations on a regular stationary grid and the solidified region is represented by setting the velocities in the solid phase to zero. The latent heat released during solidification is calculated using the normal temperature gradient near the interface. The method is validated by a comparison with an exact solution for a Stefan problem and a grid refinement study. The simulations show that the speed of a dendrite arm growing into the flow is increased due to an increase in the temperature gradient on the upstream side and the formation of side branches is promoted, as in two-dimensions. The effect of the flow on the growth of dendrite arms growing in the downstream direction is smaller than in two-dimensions, due to a smaller wake.

Original languageEnglish
Pages (from-to)677-696
Number of pages20
JournalJournal of Computational Physics
Volume194
Issue number2
DOIs
Publication statusPublished - Mar 1 2004

Fingerprint

three dimensional flow
dendrites
Thermal gradients
solidification
Solidification
convection
Latent heat
temperature gradients
Computer simulation
Navier Stokes equations
Numerical methods
two dimensional flow
simulation
latent heat
liquid-solid interfaces
wakes
markers
Navier-Stokes equation
upstream
solid phases

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)
  • Computer Science Applications

Cite this

Numerical simulation of dendritic solidification with convection : Three-dimensional flow. / Al-Rawahi, Nabeel; Tryggvason, Gretar.

In: Journal of Computational Physics, Vol. 194, No. 2, 01.03.2004, p. 677-696.

Research output: Contribution to journalArticle

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