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<図書>
Fundamentals of numerical discretization

責任表示 Charles Hirsch
シリーズ Wiley series in numerical methods in engineering ; . Numerical computation of internal and external flows ; v. 1
データ種別 図書
出版情報 Chichester ; New York : Wiley , c1988
本文言語 英語
大きさ xix, 515 p. : ill. ; 24 cm
概要 Numerical Computation of Internal and External Flows Volume 1: Fundamentals of Numerical Discretization C. Hirsch, Vrije Universiteit Brussel, Brussels, Belgium This is the first of two volumes which ...ogether describe comprehensively the theory and practice of the numerical computation of internal and external flows. In this volume, the author explains the use of basic computational methods to solve problems in fluid dynamics, comparing these methods so that the reader can see which would be the most appropriate to use for a particular problem. The book is divided into four parts. In the first part, mathematical models are introduced. In the second part, the various numerical methods are described, while in the third and fourth parts the workings of these methods are investigated in some detail. Volume 2 will be concerned with the applications of numerical methods to flow problems, and together the two volumes will provide an excellent reference for practitioners and researchers working in computational fluid mechanics and dynamics. Contents Preface Nomenclature Part 1 The Mathematical Models for Fluid Flow Simulations at Various Levels of Approximation Introduction Chapter 1 The Basic Equations of Fluid Dynamics Chapter 2 The Dynamic Levels of Approximation Chapter 3 The Mathematical Nature of the Flow Equations and their Boundary Conditions Part II Basic Discretization Techniques Chapter 4 The Finite Difference Method Chapter 5 The Finite Element Method Chapter 6 Finite Volume Method and Conservative Discretizations Part III The Analysis of Numerical Schemes Chapter 7 The Concepts of Consistency, Stability and Convergence Chapter 8 The Von Neumann Method for Stability Analysis Chapter 9 The Method of the Equivalent Differential Equation for the Analysis of Stability Chapter 10 The Matrix Method for Stability Analysis Part IV The Resolution of Discretized Equations Chapter 11 Integration Methods for Systems of Ordinary Differential Equations Chapter 12 Iterative Methods for the Resolution of Algebraic Systems Appendix Thomas Algorithm for Tridiagonal Systems Index 続きを見る
目次 v. 1. Fundamentals of numerical discretization
v. 2. Computational methods for inviscid and viscous flows.

所蔵情報



理系図2F 開架 501.1/H 75/(1) 1988
068222188005014


理系図2F 開架 501.2/H 75 1988
068252190001063

書誌詳細

一般注記 Includes index
"A Wiley-Interscience publication."
Reprinted as paperback edition 1989
著者標目 *Hirsch, Ch. (Charles)
件 名 LCSH:Fluid dynamics -- Mathematical models  全ての件名で検索
分 類 LCC:TA357
DC19:620.1/064
書誌ID 1000031053
ISBN 0471917621
NCID BA04828806
巻冊次 : hbk ; ISBN:0471917621 ; PRICE:$73.00
: pbk ; ISBN:0471923850
登録日 2009.09.10
更新日 2009.09.17

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