Computational Reality: Solving Nonlinear and Coupled Problems in Continuum Mechanics

Book Name: Computational Reality: Solving Nonlinear and Coupled Problems in Continuum Mechanics
Author: Bilen Emek Abali (auth.)
Publisher: Springer Singapore
ISBN-: 978-981-10-2444-3,978-981-10-2443-6
Year: 2017
Language: English
File format: PDF

Computational Reality: Solving Nonlinear and Coupled Problems in Continuum Mechanics Pdf Book Description:

This publication presents the concept of continuum mechanics for mechanical, thermodynamical, and electrodynamical systems. It reveals how to obtain exact equations and it employs them by calculating the facts. It utilizes just open-source codes created under the FEniCS project and contains codes for 20 engineering programs in mechanics, fluid dynamics, applied thermodynamics, and electromagnetism. What’s more, it derives and uses the constitutive equations such as coupling conditions, which enable to calculate multiphysics problems by integrating interactions between primitive factors, namely, movement, fever, and electromagnetic fields.

An engineering process is explained by the crude factors satisfying field equations which are partial differential equations in time and space. The field equations are for the most part combined and nonlinear, in other words, hard to fix. To be able to address the coupled, nonlinear system of partial differential equations, the book utilizes a book assortment of accessible packages developed beneath the FEniCS project. All primitive factors are solved at the same time in a completely coupled fashion using finite difference method in time and finite element method in space.