Think Before You Compute: A Prelude to Computational Fluid Dynamics: 61 (Cambridge Texts in Applied Mathematics, Series Number 61)

Hinch, E. J.

ISBN 10: 1108479545 / ISBN 13: 9781108479547

Published by Cambridge University Press, 2020

About this Item

Seller Inventory # V9781108479547

Bibliographic Details

• Title: Think Before You Compute: A Prelude to Computational Fluid Dynamics: 61 (Cambridge Texts in Applied Mathematics, Series Number 61)
• Publisher: Cambridge University Press
• Publication Date: 2020
• Language: English
• ISBN 10: 1108479545
• ISBN 13: 9781108479547
• Binding: Hardcover
• Condition: New

About this title

Synopsis

Every fluid dynamicist will at some point need to use computation. Thinking about the physics, constraints and the requirements early on will be rewarded with benefits in time, effort, accuracy and expense. How these benefits can be realised is illustrated in this guide for would-be researchers and beginning graduate students to some of the standard methods and common pitfalls of computational fluid mechanics. Based on a lecture course that the author has developed over twenty years, the text is split into three parts. The quick introduction enables students to solve numerically a basic nonlinear problem by a simple method in just three hours. The follow-up part expands on all the key essentials, including discretisation (finite differences, finite elements and spectral methods), time-stepping and linear algebra. The final part is a selection of optional advanced topics, including hyperbolic equations, the representation of surfaces, the boundary integral method, the multigrid method, domain decomposition, the fast multipole method, particle methods and wavelets.

About the Author

E. J. Hinch has been a teacher and researcher in fluid mechanics and applied mathematics at the University of Cambridge for over 45 years. He is the author of Perturbation Methods (Cambridge University Press, 1991) and has been awarded the Fluid Dynamics prizes of the European Mechanics Society and the American Physical Society Division of Fluid Dynamics.