Finite element methods for flow problems
著者
書誌事項
Finite element methods for flow problems
Wiley, c2003
大学図書館所蔵 全22件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Includes bibliographical references (p. 323-344) and index
内容説明・目次
内容説明
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.
目次
Preface.
1. Introduction and preliminaries.
Finite elements in fluid dynamics.
Subjects covered.
Kinematical descriptions of the flow field.
The basic conservation equations.
Basic ingredients of the finite element method.
2. Steady transport problems.
Problem statement.
Galerkin approximation.
Early Petrov-Galerkin methods.
Stabilization techniques.
Other stabilization techniques and new trends.
Applications and solved exercises.
3. Unsteady convective transport.
Introduction.
Problem statement.
The methods of characteristics.
Classical time and space discretization techniques.
Stability and accuracy analysis.
Taylor-Galerkin Methods.
An introduction to monotonicity-preserving schemes.
Least-squares-based spatial discretization.
The discontinuous Galerkin method.
Space-time formulations.
Applications and solved exercises.
4. Compressible Flow Problems.
Introduction.
Nonlinear hyperbolic equations.
The Euler equations.
Spatial discretization techniques.
Numerical treatment of shocks.
Nearly incompressible flows.
Fluid-structure interaction.
Solved exercises.
5. Unsteady convection-diffusion problems.
Introduction.
Problem statement.
Time discretization procedures.
Spatial discretization procedures.
Stabilized space-time formulations.
Solved exercises.
6. Viscous incompressible flows.
Introduction
Basic concepts.
Main issues in incompressible flow problems.
Trial solutions and weighting functions.
Stationary Stokes problem.
Steady Navier-Stokes problem.
Unsteady Navier-Stokes equations.
Applications and Solved Exercices.
References.
Index.
「Nielsen BookData」 より