Computational Methods for Fluid Dynamics
In its 3rd revised and extended edition the book offers an overview of the techniques used to solve problems in fluid mechanics on computers and describes in detail those most often used in practice. Included are advanced methods in computational fluid dynamics, like direct and large-eddy simulation...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2002, 2002
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| Edition: | 3rd ed. 2002 |
| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 3.10 An Introduction to Spectral Methods
- 3.11 Example
- 4. Finite Volume Methods
- 4.1 Introduction
- 4.2 Approximation of Surface Integrals
- 4.3 Approximation of Volume Integrals
- 4.4 Interpolation and Differentiation Practices
- 4.5 Implementation of Boundary Conditions
- 4.6 The Algebraic Equation System
- 4.7 Examples
- 5. Solution of Linear Equation Systems
- 5.1 Introduction
- 5.2 Direct Methods
- 5.3 Iterative Methods
- 5.4 Coupled Equations and Their Solution
- 5.5 Non-Linear Equations and their Solution
- 5.6 Deferred-Correction Approaches
- 5.7 Convergence Criteria and Iteration Errors
- 5.8 Examples
- 6. Methods for Unsteady Problems
- 6.1 Introduction
- 6.2 Methods for Initial Value Problems in ODEs
- 6.3 Application to the Generic Transport Equation
- 6.4 Examples
- 7. Solution of the Navier-Stokes Equations
- 7.1 Special Features of the Navier-Stokes Equations
- 7.2 Choice of Variable Arrangement on the Grid
- 7.3 Calculation of the Pressure
- 7.4 Other Methods
- 7.5 Solution Methods for the Navier-Stokes Equations
- 7.6 Note on Pressure and Incompressibility
- 7.7 Boundary Conditions for the Navier-Stokes Equations
- 7.8 Examples
- 8. Complex Geometries
- 8.1 The Choice of Grid
- 8.2 Grid Generation
- 8.3 The Choice of Velocity Components
- 8.4 The Choice of Variable Arrangement
- 8.5 Finite Difference Methods
- 8.6 Finite Volume Methods
- 8.7 Control-Volume-Based Finite Element Methods
- 8.8 Pressure-Correction Equation
- 8.9 Axi-Symmetric Problems
- 8.10 Implementation of Boundary Conditions
- 8.11 Examples
- 9. Turbulent Flows
- 9.1 Introduction
- 9.2 Direct Numerical Simulation (DNS)
- 9.3 Large Eddy Simulation (LES)
- 9.4 RANS Models
- 9.5 Reynolds Stress Models
- 9.6 Very Large Eddy Simulation
- 10. Compressible Flow
- 10.1 Introduction
- 10.2 Pressure-Correction Methods for Arbitrary Mach Number
- 10.3 Methods Designed for Compressible Flow
- 11. Efficiency and Accuracy Improvement
- 11.1 Error Analysis and Estimation
- 12. Special Topics
- 12.1 Introduction
- 12.2 Heat and Mass Transfer
- 12.3 Flows With Variable Fluid Properties
- 12.4 Moving Grids
- 12.5 Free-Surface Flows
- 12.6 Meteorological and Oceanographic Applications
- 12.7 Multiphase flows
- 12.8 Combustion
- A. Appendices
- A.l List of Computer Codes and How to Access Them
- A.2 List of Frequently Used Abbreviations
- References
- 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
- 1.8 Mathematical Classification of Flows
- 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
- 2.5 Properties of Numerical Solution Methods
- 2.6 Discretization Approaches
- 3. Finite Difference Methods
- 3.1 Introduction
- 3.2 Basic Concept
- 3.3 Approximation of the First Derivative
- 3.4 Approximation of the Second Derivative
- 3.5 Approximation of Mixed Derivatives
- 3.6 Approximation of Other Terms
- 3.7 Implementation of Boundary Conditions
- 3.8 The Algebraic Equation System
- 3.9 Discretization Errors