Nonlinear flow using dual reciprocity
著者
書誌事項
Nonlinear flow using dual reciprocity
(Topics in engineering, v. 38)
WIT Press, c2001
大学図書館所蔵 全1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. [123]-127)
内容説明・目次
内容説明
The purpose of this book is to introduce a boundary integral method based on domain partition for the solution of nonlinear fluid mechanics problems including non-Newtonian applications. In the present work, the Dual Reciprocity Method has been improved by paritioning the domain into smaller sub-domains, and in each sub-domain the Dual Reciprocity Method was applied to obtain an expression for the velocity field only in terms of boundary integrals. Several numerical examples are presented including Newtonian flow at high Reynolds numbers and non Newtonian flow of polymers inside complex geometry.
目次
- Chapter 1 - Introduction: BEM Solution of nonlinear flow problems
- Literature survey. Chapter 2 - Integral identities for scalar and vector fields: Green's identities for scalar fields
- Boundary integral formulation for Poisson's equation
- Green's identities for the momentum equations. Chapter 3 - The Boundary Element Method Boundary: elements
- Transformation of co-ordinates
- System of equations
- Numerical evaluation of weakly singular integrals
- Rigid-body-motion considerations
- Discontinuity at corner points
- Multi-domain technique. Chapter 4 - The dual reciprocity approximation: Approximation of domain integrals
- Particular solution for the auxiliary flow field
- Treatment of the pseudo-body forces term
- Approximation of derivatives
- Mass conservative interpolation for the velocity derivatives
- Conservative interpolation of a given velocity field. Chapter 5 - Multi-domain formulation of the Navier-Stokes equations: Introduction
- Dual reciprocity for the Navier-Stokes equations
- Matrix form of the multiple domain formulation for the Navier-Stokes equations. Chapter 6 - Multi-domain formulation of the Stokes equations for non-Newtonian fluids: Introduction
- Rheology of non-Newtonian fluids
- Industrial applications
- Boundary integral formulation of non-Newtonian problems
- Non-singular integral formulation
- Matrix form of the multiple domain non-singular formulation. Chapter 7 - Numerical solution of non-linear systems of algebraic equations: Line search algorithm
- Newton's method for the BEM equations
- Predictor-corrector method. Chapter 8 - Numerical results for the Navier-Stokes equations: Introduction
- Driven cavity flow. Chapter 9 - Numerical results for non-Newtonian fluid flow problems Slit flow of a power law fluid
- Coutte flow
- Non-Newtonian effects in industrial applications
- Final remarks and further research. Appendix: Position of the collocation and mass conservation nodes.
「Nielsen BookData」 より