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  1. Home
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  3. Think Before You Compute
  • Cited by 6
Publisher:
Cambridge University Press
Online publication date:
April 2020
Print publication year:
2020
Online ISBN:
9781108855297
DOI:
https://doi.org/10.1017/9781108855297
Subjects:
Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Engineering, Mathematical Physics, Fluid Dynamics and Solid Mechanics, Thermal-Fluids Engineering
Series:
Cambridge Texts in Applied Mathematics (61)
Information

Book description

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.

Reviews

‘Overall, the relatively short book strikes a good balance by being neither too technical nor too recipe driven, and it imparts key concepts and practical details without a fuss.’

L. Mahadevan Source: Physics Today

‘… Think Before You Compute [is] an attractive textbook for a standalone course on CFD or an excellent supplement for a graduate course that includes conceptual, analytic, and numerical approaches.’

L. Mahadevan Source: Physics Today

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