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Programming Phase-Field Modeling

  • Textbook
  • © 2017

Overview

Authors:
  1. S. Bulent Biner

    1. Idaho National Laboratory, Idaho Falls, USA

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  • Emphasizes the numerical aspects of phase-field modeling;

  • Explains both the underlying physics and formulism of phase-field modeling;

  • Reinforces reader understanding with a collection of algorithms;

  • Adopts a cross-disciplinary approach to PFM relevant to students of engineering, physics, biology, and other disciplines concerned with microstructure evolution and solutions to interfacial problems;

  • Includes all necessary source code, downloadable from the publisher.

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xvi
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  2. An Overview of the Phase-Field Method and Its Formalisms

    • S. Bulent Biner
    Pages 1-7

  3. Introduction to Numerical Solution of Partial Differential Equations

    • S. Bulent Biner
    Pages 9-11

  4. Preliminaries About the Codes

    • S. Bulent Biner
    Pages 13-15

  5. Solving Phase-Field Models with Finite Difference Algorithms

    • S. Bulent Biner
    Pages 17-97

  6. Solving Phase-Field Models with Fourier Spectral Methods

    • S. Bulent Biner
    Pages 99-168

  7. Solving Phase-Field Equations with Finite Elements

    • S. Bulent Biner
    Pages 169-336

  8. Phase-Field Crystal Modeling of Material Behavior

    • S. Bulent Biner
    Pages 337-368

  9. Concluding Remarks

    • S. Bulent Biner
    Pages 369-369

  10. Erratum

    • S. Bulent Biner
    Pages E1-E3

  11. Back Matter

    Pages 371-400
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Keywords

About this book

This textbook provides a fast-track pathway to numerical implementation of phase-field modeling—a relatively new paradigm that has become the method of choice for modeling and simulation of microstructure evolution in materials. It serves as a cookbook for the phase-field method by presenting a collection of codes that act as foundations and templates for developing other models with more complexity. Programming Phase-Field Modeling uses the Matlab/Octave programming package, simpler and more compact than other high-level programming languages, providing ease of use to the widest audience. Particular attention is devoted to the computational efficiency and clarity during development of the codes, which allows the reader to easily make the connection between the mathematical formulism and the numerical implementation of phase-field models. The background materials provided in each case study also provide a forum for undergraduate level modeling-simulations courses as part of their curriculum.

Authors and Affiliations

  • Idaho National Laboratory, Idaho Falls, USA

    S. Bulent Biner

About the author

Dr. S. Bulent Biner is Senior Scientist, Fuels Modeling and Simulation Department, at the Idaho National Laboratory. His academic background includes appointments as Adjunct Assistant and Associate Professor, from 1989 through 2010, at Iowa State University in the Department of Materials Science and Engineering and the Department of Aerospace Engineering and Engineering Mechanics. He holds Ph.D. in Metallurgy and Materials Science from the University of Aston, Birmingham, England.

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