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A tangent-plane, marker-particle method for the computation of three-dimensional solid surfaces evolving by surface diffusion on a substrate
Journal of Computational Physics (2010)
  • Ping Du
  • Mikhail Khenner, Western Kentucky University
  • Harris Wong
Abstract

We introduce a marker-particle method for the computation of three-dimensional solid surface morphologies evolving by surface diffusion. The method does not use gridding of surfaces or numerical differentiation, and applies to surfaces with finite slopes and overhangs. We demonstrate the method by computing the evolution of perturbed cylindrical wires on a substrate. We show that computed growth rates at early times agree with those predicted by the linear stability analysis. Furthermore, when the marker particles are redistributed periodically to maintain even spacing, the method can follow breakup of the wire.

Publication Date
2010
Citation Information
Ping Du, Mikhail Khenner and Harris Wong. "A tangent-plane, marker-particle method for the computation of three-dimensional solid surfaces evolving by surface diffusion on a substrate" Journal of Computational Physics Vol. 229 Iss. 3 (2010)
Available at: http://works.bepress.com/mkhenner/4/