Название: Computational Methods in Engineering: Finite Difference, Finite Volume, Finite Element, and Dual Mesh Control Domain Methods
Автор: J.N. Reddy
Издательство: CRC Press
Год: 2024
Страниц: 595
Язык: английский
Формат: pdf (true)
Размер: 21.7 MB

Computational Methods in Engineering: Finite Difference, Finite Volume, Finite Element, and Dual Mesh Control Domain Methods provides readers with the information necessary to choose appropriate numerical methods to solve a variety of engineering problems. Explaining common numerical methods in an accessible yet rigorous manner, the book details the finite element method (FEM), finite volume method (FVM) and importantly, a new numerical approach, dual mesh control domain method (DMCDM).

Numerical methods are crucial to everyday engineering. The book begins by introducing the various methods and their applications, with example problems from a range of engineering disciplines including heat transfer, solid and structural mechanics, and fluid mechanics. It highlights the strengths of FEM, with its systematic procedure and modular steps, and then goes on to explain the uses of FVM. It explains how DMCDM embodies useful parts of both FEM and FVM, particularly in its use of the control domain method and how it can provide a comprehensive computational approach. The final chapters look at ways to use different numerical methods, primarily FEM and DMCDM, to solve typical problems of bending of beams, axisymmetric circular plates, and other nonlinear problems.

Over the last several decades, computational methods made it possible, with the help of sophisticated physics-based mathematical models, numerical methods, and high-speed computers, to analyze many practical problems of engineering for analysis, design, and manufacturing. Most of the practicing engineers may end up using a commercial software package or an open source code. But by having a background in most commonly used numerical methods, namely, the finite difference method (FDM), finite volume method (FVM), and finite element method (FEM), practicing engineers and scientists can benefit at work in judiciously selecting the suitable numerical method for the solution of the problem at hand. To date, there does not exist a single place where an interested engineer or scientist can find all these popular numerical methods explained in a single volume in a fashion they can readily understand. The present book is aimed at fulfilling this gap in the literature, while introducing a variant of the FEM and FVM, namely, the Dual Mesh Control Domain Method (DMCDM).

This book is a useful guide to numerical methods for professionals and students in all areas of engineering and engineering mathematics.