Every fluid dynamicist will at some point need to use computation. Thinking about the physics, constraints and requirements early on will be rewarded with benefits in time, effort, and expense. How these benefits can be realised are 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 the author developed over 20 years, the text is split into three parts. The 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, representation of surfaces, boundary integral method, multi-grid method, domain decomposition, fast multipole method, particle methods, and wavelets.

Book Information
ISBN 9781108789998
Author E. J. Hinch
Format Paperback
Page Count 244
Imprint Cambridge University Press
Publisher Cambridge University Press