Finite Element Methods for Flow Problems - Hardcover

Donea, Jean; Huerta, Antonio

Hardcover

ISBN 10: 0471496669 ISBN 13: 9780471496663

Publisher: Wiley, 2003

Synopsis

In recent years there have been significant developments in the development of stable and accurate finite element procedures for the numerical approximation of a wide range of fluid mechanics problems. Taking an engineering rather than a mathematical bias, this valuable reference resource details the fundamentals of stabilised finite element methods for the analysis of steady and time-dependent fluid dynamics problems. Organised into six chapters, this text combines theoretical aspects and practical applications and offers coverage of the latest research in several areas of computational fluid dynamics.
* Coverage includes new and advanced topics unavailable elsewhere in book form
* Collection in one volume of the widely dispersed literature reporting recent progress in this field
* Addresses the key problems and offers modern, practical solutions
Due to the balance between the concise explanation of the theory and the detailed description of modern practical applications, this text is suitable for a wide audience including academics, research centres and government agencies in aerospace, automotive and environmental engineering.

About this title

From the Back Cover:

Taking an engineering, rather than a mathematical, approach, Finite Element Methods for Flow Problems presents the fundamentals of stabilized finite element methods of the Petrov-Galerkin type developed as an alternative to the standard Galerkin method for the analysis of steady and time-dependent problems. The material presented here epitomizes the forefront of current research in several areas of computational fluid dynamics and combines theoretical aspects and practical applications.

Coverage includes:
* Steady and transient convection-diffusion problems.
* Stabilization techniques designed to produce stable and accurate results in convection-dominated situations.
* The presentation and detailed analysis of high-order accurate time-stepping schemes for tracing the response of truly transient problems.
* Special methods for purely convective transport governed by linear equations
* Modelling of non-linear problems governed by the Euler equations of gas dynamics and the Navier-Stokes equations for viscous incompressible flows.
* Spatial discretization by means of the arbitrary Lagrangian-Eulerian description with application to fluid-structure systems.
* Worked examples.

The book provides essential reading for graduate students and researchers in engineering and applied sciences in the finite element field. The book will also be of interest to professionals working in aerospace, automotive, civil, environmental and offshore engineering, and safety technology.

About the Author:

Jean Donea is the author of Finite Element Methods for Flow Problems, published by Wiley.

Antonio Huerta is the author of Finite Element Methods for Flow Problems, published by Wiley.

About this edition

• Publisher: Wiley
• Publication date: 2003
• ISBN 10: 0471496669
• ISBN 13: 9780471496663
• Binding: Hardcover
• Edition number: 1
• Number of pages: 362