Robust numerical simulation of porosity evolution in chemical vapor infiltration: II. Two-dimensional anisotropic fronts

  • Authors:

  • Shi Jin;Xuelei Wang

  • Affiliations:

  • Department of Mathematics, University of Wisconsin, Madison, Wisconsin;School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2002

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Abstract

A mathematical model is developed to study formation and evolution of pores during the chemical vapor infiltration (CVI) process, In this model the evolving fiber-gas interface is described by a level-set function with growth rate determined by the vapor precursor concentration and the local geometry. The vapor precursor, solely driven by diffusion, is described by a boundary value problem of the Laplace equation. We then numerically solve this model using the immersed interface method and a fast searching method developed by the authors for pore detection. This model is able to numerically advance the fiber-gas interface and automatically handle fiber merging and pore formation. Numerical experiments are conducted to validate this model and the corresponding numerical algorithm.