Numerical Methods for Solidification Processes in Materials Science

Abstract

Our overall goal is to develop, implement and transfer accurate new numerical methods for solving the moving interface problems of solidification and crystal growth. We have several specific objectives: (1) Combine fast algorithms, level set techniques, adaptive refinement and data structures to develop and implement accurate, efficient and general new methods for moving sharp interfaces. (2) Develop a modular level set code for transfer to other researchers, labs and industry. (3) Combine spectral methods and stiff ODE solvers to produce fast spectrally-accurate solvers for phase field models of solidification and related problems. (4) Validate phase field models by numerical experiment and identify parameter choices appropriate to industrial settings.

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Document Details

Document Type
Technical Report
Publication Date
Jul 31, 1999
Accession Number
ADA384342

Entities

People

  • John A. Strain

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Engineering
  • Equations
  • Error Analysis
  • Fluid Dynamics
  • Fluid Flow
  • Geometry
  • Materials
  • Materials Science
  • Mathematical Analysis
  • Mathematics
  • Solidification
  • Standards
  • Two Dimensional

Readers

  • Computational Fluid Dynamics (CFD)
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Powder metallurgy of Titanium alloys.