High-order methods for computational physics
著者
書誌事項
High-order methods for computational physics
(Lecture notes in computational science and engineering, 9)
Springer, c1999
- : pbk
大学図書館所蔵 全15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
内容説明・目次
- 巻冊次
-
ISBN 9783540658931
内容説明
This book considers recent developments in very high-order accurate numerical discretization techniques for partial differential equations. Primary attention is given to the equations of computational fluid dynamics with additional consideration given to the Hamilton-Jacobi, Helmholtz, and elasticity equations. This book should be of particular relevance to those readers with an interest in numerical discretization techniques which generalize to very high- order accuracy. The volume consists of five articles prepared by leading specialists covering the following specific topics: high-order finite volume discretization via essentially non-oscillatory (ENO) and weighted essentially non-oscillatory (WENO) reconstruction,the discontinuous Galerkin method, the Galerkin least-squares method, spectral and $hp$-finite element methods, and the mortar finite element method. Implementational and efficiency issues associated with each method are discussed throughout the book.
目次
R. Abgrall, T. Sonar, O. Friedrich, G. Billet: High Order Approximations for Compressible Fluid Dynamics on Unstructured and Cartesian Meshes * B. Cockburn: Discontinuous Galerkin Methods for Convection-Dominated Problems * R.D. Henderson: Adaptive Spectral Element Methods for Turbulence and Transition * C. Schwab: $hp$-FEM for Fluid Flow Simulation * C * W. Shu: High Order ENO and WENO Schemes for Computational Fluid Dynamics.
- 巻冊次
-
: pbk ISBN 9783662038840
内容説明
The development of high-order accurate numerical discretization techniques for irregular domains and meshes is often cited as one of the remaining chal lenges facing the field of computational fluid dynamics. In structural me chanics, the advantages of high-order finite element approximation are widely recognized. This is especially true when high-order element approximation is combined with element refinement (h-p refinement). In computational fluid dynamics, high-order discretization methods are infrequently used in the com putation of compressible fluid flow. The hyperbolic nature of the governing equations and the presence of solution discontinuities makes high-order ac curacy difficult to achieve. Consequently, second-order accurate methods are still predominately used in industrial applications even though evidence sug gests that high-order methods may offer a way to significantly improve the resolution and accuracy for these calculations. To address this important topic, a special course was jointly organized by the Applied Vehicle Technology Panel of NATO's Research and Technology Organization (RTO), the von Karman Institute for Fluid Dynamics, and the Numerical Aerospace Simulation Division at the NASA Ames Research Cen ter. The NATO RTO sponsored course entitled "Higher Order Discretization Methods in Computational Fluid Dynamics" was held September 14-18,1998 at the von Karman Institute for Fluid Dynamics in Belgium and September 21-25,1998 at the NASA Ames Research Center in the United States.
目次
High Order Approximations for Compressible Fluid Dynamics on Un structured and Cartesian Meshes.- Discontinuous Galerkin Methods for Convection-Dominated Problems.- Adaptive Spectral Element Methods for Turbulence and Transition.- hp-FEM for Fluid Flow Simulation.- High Order ENO and WENO Schemes for Computational Fluid Dynamics.
「Nielsen BookData」 より