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Title
Programming phase-field modeling / S. Bulent Biner.
Author
Biner, S. Bluent.
ISBN
9783319411965 (electronic book)
3319411969 (electronic book)
9783319411941
3319411942
3319411969 (electronic book)
9783319411941
3319411942
Publication Details
Cham, Switzerland : Springer, 2017.
Language
English
Description
1 online resource
Item Number
10.1007/978-3-319-41196-5 doi
Call Number
QA377
Dewey Decimal Classification
518/.64
Summary
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. 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.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
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text file PDF
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Programming phase-field modeling.
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Table of Contents
An overview of the Phase-Field Method and Its Formulism
Introduction to numerical solution of Partial Differential Equations
Preliminaries about the codes
Solving Phase-Field models with finite difference algorithm
Solving phase-field model with Fourier spectral methods
Solving phase-field equations with finite element method
Phase-field crystal modeling of material behavior
Concluding remarks.
Introduction to numerical solution of Partial Differential Equations
Preliminaries about the codes
Solving Phase-Field models with finite difference algorithm
Solving phase-field model with Fourier spectral methods
Solving phase-field equations with finite element method
Phase-field crystal modeling of material behavior
Concluding remarks.