Computational Methods for Microstructure Covolume Techniques of Discretization

Abstract

This work covers one of the basic computational issues in materials science, which is that of devising algorithms for computing microstructure. Finite element discretizations are used to approximate a standard energy density functional. Grid effects are found to affect the solutions in some cases and suitable remedies are investigated. Covolume methods are a second topic of research. Three dimensional error estimates are obtained. A new and optimal Voronoi-Delaunay mesh generator is given. Microstructure computations, covolume methods, Voronoi-Delaunay meshes.

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Document Details

Document Type
Technical Report
Publication Date
May 31, 1994
Accession Number
ADA282449

Entities

People

  • Roy A. Nicolaides

Organizations

  • Carnegie Mellon University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Crystal Lattices
  • Differential Equations
  • Equations
  • Geometry
  • Materials
  • Materials Science
  • Mathematics
  • Navier Stokes Equations
  • Numerical Analysis
  • Partial Differential Equations
  • Three Dimensional
  • Topology

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Theoretical Analysis.