Think Before You Compute - A Prelude to Computational Fluid Dynamics

This guide to computational fluid mechanics introduces beginning graduate students to the subject's standard methods and common pitfalls.

List of contents

Part I. A first problem: 1. The driven cavity; 2. Streamfunction-vorticity formulation; 3. Primitive variable formulation; Part II. Generalities: 4. Finite differences; 5. Finite elements; 6.Spectral methods; 7. Time integration; 8. Linear Algebra; Part III. Special topics: 9. Software packages and FreeFem++; 10. Hyperbolic equations; 11. Representation of surfaces; 12. Boundary integral method; 13. Fast Poisson solvers; 14. Fast Multipole Method; 15. Nonlinear considerations; 16. Particle methods; 17. Wavelets; Index.

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.

Summary

This guide to computational fluid mechanics is for any beginning graduate student who is thinking of computing a flow. The text starts with a quick introduction to enable students to solve numerically a simple problem by a simple method, before detailing all the key essentials and discussing optional advanced topics.

Product details

• Authors: E.J. HINCH, E J Hinch, E. J. Hinch, E. J. (University of Cambridge) Hinch, Hinch E. J.
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 31.07.2020
• EAN: 9781108789998
• ISBN: 978-1-108-78999-8
• No. of pages: 240
• Series: Cambridge Texts in Applied Mat; Cambridge Texts in Applied Mathematics
• Subjects: Natural sciences, medicine, IT, technology > IT, data processing > IT; SCIENCE / Mechanics / Fluids, Fluid mechanics, Mathematical theory of computation, Applied mathematics, Dynamics & statics, Physics: Fluid mechanics, Dynamics and statics