Finite Element Methods for Computational Fluid Dynamics: A Practical Guide - Brossura

Kuzmin, Dmitri; Hämäläinen, Jari

 
9781611973600: Finite Element Methods for Computational Fluid Dynamics: A Practical Guide

Sinossi

An informal introduction to computational fluid dynamics and numerical simulation of transport phenomena for advanced undergraduates and above.

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Descrizione del libro

This informal introduction to computational fluid dynamics and practical guide to numerical simulation of transport phenomena covers the derivation of the governing equations, construction of finite element approximations, and qualitative properties of numerical solutions, among other topics. The text is aimed at advanced undergraduate and graduate students in computational engineering.

Contenuti

Preface; 1. Notation and preliminaries; 2. Introduction to numerical methods for PDEs; 3. Equations of fluid dynamics and heat transfer; 4. The basics of the finite element method for the one-dimensional heat equation; 5. The Galerkin finite element method for two-dimensional problems; 6. Stabilization techniques in one-dimension; 7. Stabilization techniques in multidimensions; 8. Advanced methods for incompressible flow problems; 9. Further reading; Bibliography; Index.

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