作者简介 理查德·H.普莱彻(Richard H. Pletcher),康奈尔大学博士毕业,机械学教授。 J. C. 坦尼希尔(John C. Tannehill),爱荷华州艾姆斯州立大学教授,他被公认为计算流体动力学领域的先驱(CFD)。 D. A. 安德森(Dale A. Anderson),哈佛大学的名誉教授。
目录 Preface to the Third Edition Preface to the Second Edition Preface to the First Edition Authors
PART Ⅰ Fundamentals Chapter 1 Introduction 1.1 General Remarks 1.2 Comparison of Experimental, Theoretical,and Computational Approaches 1.3 Historical Perspective Chapter 2 Partial Differential Equations 2.1 Introduction 2.1.1 Partial Differential Equations 2.2 Physical Classification 2.2.1 Equilibrium Problems 2.2.2 Eigenvalue Problems 2.2.3 Marching Problems 2.3 Mathematical Classification 2.3.1 Hyperbolic PDEs 2.3.2 Parabolic PDEs 2.3.3 Elliptic PDEs 2,4 Well-Posed Problem 2.5 Systems of Partial Differential Equations 2.6 Other PDEs of Interest Problems Chapter 3 Basics of Discretization Methocls 3.1 Introduction 3.2 Finite Differences 3.3 Difference Representation of Partial Differential Equations 3.3.1 Truncation Error 3.3.2 Round-off and Discretization Errors 3.3.3 Consistency 3.3.4 Stability 3.3.5 Convergence for Marching Problems 3.3.6 Comment on Equilibrium Problems 3.3.7 Conservation Form and Conservative Property 3.4 Further Examples of Methods for Obtaining Finite-Difference Equations 3.4.1 Use of Taylor Series …… PART Ⅱ Application of Numerical Methods to the Equations of Fluid Mechanics and Heat Transfer Appendix A: Subroutine for Solving a Tridiagonal System of Equations Appendix B: Subroutines for Solving Block Tridiagonal Systems of Equations Appendix C: Modified Strongly Implicit Procedure Nomenclature References Index
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