Think Before You Compute: A Prelude to Computational Fluid Dynamics - Couverture rigide

Livre 42 sur 44: Cambridge Texts in Applied Mathematics

Hinch, E. J.

 
9781108479547: Think Before You Compute: A Prelude to Computational Fluid Dynamics

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.

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À propos de l?auteur

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.

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Autres éditions populaires du même titre

9781108789998: Think Before You Compute

Edition présentée

ISBN 10 :  1108789994 ISBN 13 :  9781108789998
Editeur : Cambridge University Press, 2020
Couverture souple