Numerical Modeling for Crystal Growth.

Abstract

(1) Objectives: Our research on moving boundary problems in crystal growth aims to develop and implement new numerical methods which produce better accuracy for a given cost. (2) Status of effort: We have developed efficient and accurate new methods in several subareas of crystal growth. These include spectral methods for phase field models, new vortex methods for convection in the melt, and related quadrature and interpolation techniques. (3) Accomplishments/New Findings: We have made substantial progress in two areas of our project; spectral methods for phase field models of phase transitions and vortex methods for computing convection in the melt. In the first area, we have developed two accurate and efficient new spectral methods for general parabolic systems of partial differential equations in periodic geometry and applied them to solve phase field models for crystal growth. In the second area, we have developed three new vortex methods for computing convection in the melt at high Reynolds numbers and tested them on flows without boundaries.

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Document Details

Document Type
Technical Report
Publication Date
May 25, 1996
Accession Number
ADA311343

Entities

People

  • John Strain

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Computational Science
  • Convection
  • Crystal Growth
  • Crystals
  • Differential Equations
  • Equations
  • Euler Equations
  • Fluid Dynamics
  • Fluid Flow
  • Geometry
  • Numerical Analysis
  • Partial Differential Equations
  • Phase Transformations
  • Reynolds Number
  • Three Dimensional
  • Two Dimensional

Readers

  • Calculus or Mathematical Analysis
  • Computational Modeling and Simulation
  • Materials Science and Engineering.