Accession Number : ADA311343

Title :   Numerical Modeling for Crystal Growth.

Descriptive Note : Final technical rept. 1 May 93-30 Apr 96,

Corporate Author : CALIFORNIA UNIV BERKELEY DEPT OF MATHEMATICS

Personal Author(s) : Strain, John

PDF Url : ADA311343

Report Date : 25 MAY 1996

Pagination or Media Count : 12

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.

Descriptors :   *VORTICES, *CRYSTAL GROWTH, MATHEMATICAL MODELS, PHASE TRANSFORMATIONS, ACCURACY, TURBULENT FLOW, PHASE STUDIES, COMPUTATIONAL FLUID DYNAMICS, NUMERICAL INTEGRATION, BOUNDARY VALUE PROBLEMS, INTERPOLATION, TWO DIMENSIONAL FLOW, CONVECTION(HEAT TRANSFER), NAVIER STOKES EQUATIONS, INVISCID FLOW, REYNOLDS NUMBER, INCOMPRESSIBLE FLOW, BOUNDARY LAYER FLOW, LAGRANGIAN FUNCTIONS, NUMERICAL QUADRATURE.

Subject Categories : Fluid Mechanics
      Crystallography

Distribution Statement : APPROVED FOR PUBLIC RELEASE