Overview
- Demonstrates how to model governing equations for mechanical problems
- Introduces the FEniCS open-source software for writing code
- Analyzes mechanical, fluid dynamical, thermodynamical, and electrodynamical systems
- Includes supplementary material: sn.pub/extras
Part of the book series: Advanced Structured Materials (STRUCTMAT, volume 55)
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Table of contents (3 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This book presents the theory of continuum mechanics for mechanical, thermodynamical, and electrodynamical systems. It shows how to obtain governing equations and it applies them by computing the reality. It uses only open-source codes developed under the FEniCS project and includes codes for 20 engineering applications from mechanics, fluid dynamics, applied thermodynamics, and electromagnetism. Moreover, it derives and utilizes the constitutive equations including coupling terms, which allow to compute multiphysics problems by incorporating interactions between primitive variables, namely, motion, temperature, and electromagnetic fields.
An engineering system is described by the primitive variables satisfying field equations that are partial differential equations in space and time. The field equations are mostly coupled and nonlinear, in other words, difficult to solve. In order to solve the coupled, nonlinear system of partial differential equations, the book uses a novel collection of open-source packages developed under the FEniCS project. All primitive variables are solved at once in a fully coupled fashion by using finite difference method in time and finite element method in space.
Authors and Affiliations
Bibliographic Information
Book Title: Computational Reality
Book Subtitle: Solving Nonlinear and Coupled Problems in Continuum Mechanics
Authors: Bilen Emek Abali
Series Title: Advanced Structured Materials
DOI: https://doi.org/10.1007/978-981-10-2444-3
Publisher: Springer Singapore
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Nature Singapore Pte Ltd. 2017
Hardcover ISBN: 978-981-10-2443-6Published: 02 November 2016
Softcover ISBN: 978-981-10-9619-8Published: 29 June 2018
eBook ISBN: 978-981-10-2444-3Published: 22 October 2016
Series ISSN: 1869-8433
Series E-ISSN: 1869-8441
Edition Number: 1
Number of Pages: XVII, 308
Number of Illustrations: 48 illustrations in colour
Topics: Solid Mechanics, Computational Science and Engineering, Numeric Computing, Characterization and Evaluation of Materials