流体动力学中的计算方法(第3版)(英文版)

本书讲述了用计算机 解决流体力学问题的技巧 ，包括计算流体力学中的 高级技巧，比如湍流的大 漩涡模拟、多格方法、平 行计算、移动格、结构、 块结构和非结构边界适用 格，自由曲面流。

Preface 1.Basic Concepts of Fluid Flow 1.1 Introduction 1.2 Conservation Principles 1.3 Mass Conservation 1.4 Momentum Conservation 1.5 Conservation of Scalar Quantities 1.6 Dimensionless Form of Equations 1.7 Simplified Mathematical Models 1.7.1 Incompressible Flow 1.7.2 Inviscid (Euler)Flow 1.7.3 Potential Flow 1.7.4 Creeping(Stokes)Flow 1.7.5 Boussinesq Approximation 1.7.6 Boundary Layer Approximation 1.7.7 Modeling of Complex Flow Phenomena 1.8 Mathematical Classification of Flows 1.8.1 Hyperbolic Flows 1.8.2 Parabolic Flows 1.8.3 Elliptic Flows 1.8.4 Mixed Flow Types 1.9 Plan of This Book 2.Introduction to Numerical Methods 2.1 Approaches to Fluid Dynamical Problems 2.2 What is CFD 2.3 Possibilities and Limitations of Numerical Methods 2.4 Components of a Numerical Solution Method 2.4.1 Mathematical Model 2.4.2 .Discretization Method 2.4.3 Coordinate and Basis Vector Systems 2.4.4 Numerical Grid 2.4.5 Finite Approximations 2.4.6 Solution Method 2.4.7 Convergence Criteria 2.5 Properties of Numerical Solution Methods 2.5.1 Consistency 2.5.2 Stability 2.5.3 Convergence 2.5.4 Conservation 2.5.5 Boundedness 2.5.6 Realizability 2.5.7 Accuracy 2.6 Discretization Approaches 2.6.1 Finite Difference Method 2.6.2 Finite Volume Method 2.6.3 Finite Element Method 3.Finite Difference Methods 3.1 Introduction 3.2 Basic Concept 3.3 Approximation of the First Derivative