Donea, Jean / Huerta, Antonio Finite Element Methods for Flow Problems
1. Edition April 2003 139.- Euro 2003. 362 Pages, Hardcover - Textbook - ISBN 978-0-471-49666-3 - John Wiley & Sons
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Short description In recent years, there have been a number of advances in the development of stable and accurate finite element procedures for approximating numerically a wide range of fluid mechanics problems. Taking an engineering rather than a mathematical approach, the Finite Element Method details the fundamentals of stabilized finite element methods for analyzing steady and time-dependent fluid mechanics problems. Characterized by a simplicity of presentation, the book's topical range reaches the forefront of current research in several areas of computational fluid dynamics.
From the contents Preface.
1. Introduction and preliminaries.
Finite elements in fluid dynamics.
Kinematical descriptions of the flow field.
The basic conservation equations.
Basic ingredients of the finite element method.
2. Steady transport problems.
Early Petrov-Galerkin methods.
Other stabilization techniques and new trends.
Applications and solved exercises.
3. Unsteady convective transport.
The methods of characteristics.
Classical time and space discretization techniques.
Stability and accuracy analysis.
An introduction to monotonicity-preserving schemes.