Computational methods for fluid dynamics
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 techniques in computational fluid dynamics, like direct and large-eddy simulation of turbulence, multigrid methods, pa...
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| Main Authors | , |
|---|---|
| Format | eBook Book |
| Language | English |
| Published |
Berlin, Heidelberg
Springer-Verlag
1996
Springer Berlin / Heidelberg Springer Berlin Heidelberg |
| Edition | 1 |
| Subjects | |
| Online Access | Get full text |
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| Abstract | 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 techniques in computational fluid dynamics, like direct and large-eddy simulation of turbulence, multigrid methods, parallel computing, moving grids, structured, block-structured and unstructured boundary-fitted grids, free surface flows. The book shows common roots and basic principles for many apparently different methods. The issues of numerical accuracy, estimation and reduction of numerical errors are dealt with in detail, with many examples. The book also contains a great deal of practical advice for code developers and users. The book is designed to be equally useful to beginners and experts. All computer codes can be accessed from the publisher's server ftp.springer.de on the internet. |
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| AbstractList | 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 techniques in computational fluid dynamics, like direct and large-eddy simulation of turbulence, multigrid methods, parallel computing, moving grids, structured, block-structured and unstructured boundary-fitted grids, free surface flows. The book shows common roots and basic principles for many apparently different methods. The issues of numerical accuracy, estimation and reduction of numerical errors are dealt with in detail, with many examples. The book also contains a great deal of practical advice for code developers and users. The book is designed to be equally useful to beginners and experts. All computer codes can be accessed from the publisher's server ftp.springer.de on the internet. Computational fluid dynamics is the subject of this book. The book starts with a chapter on the basic concepts of fluid flow. This is followed by chapters covering an introduction to numerical solution methods, descriptions of finite difference methods, and a description of the finite volume method. Applications of basic finite difference and finite volume methods are also described, and their use is demonstrated for structured Cartesian grids. Methods are then described for solving the algebraic equations resulting from discretization. Although direct methods are briefly described, the major part of the chapter is devoted to iterative solution techniques. The next chapter is devoted to methods of time integration. This is followed by a consideration of the complexity of the Navier-Stokes equations and special features for incompressible flows. The treatment of complex geometries is the subsequent topic discussed, including the choices of grid type, grid properties, velocity components, and variable arrangements. Special attention is paid to the pressure-correction equation and to boundary conditions. The next three chapters deal with the computation of turbulent flows and compressible flows, and with accuracy and efficiency improvement. The final chapter considers some special issues. These include the treatment of moving boundaries which require moving grids, and flows with free surfaces. Special effects in flows with heat and mass transfer, two phases, and chemical reactions are briefly discussed. The finite volume method is favored in this book, although finite difference methods are described as well. (AIAA) |
| Author | Perić, M. (Milovan) Ferziger, Joel H. |
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| Copyright | Springer-Verlag Berlin Heidelberg 1996 |
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| Notes | Bibliography: p. [353]-361 Includes index SourceType-Books-1 ObjectType-Book-1 content type line 7 |
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| Snippet | 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.... Computational fluid dynamics is the subject of this book. The book starts with a chapter on the basic concepts of fluid flow. This is followed by chapters... |
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| SubjectTerms | Computational fluid dynamics Engineering Fluid dynamics -- Data processing Mathematical Methods in Physics Mathematical physics Mechanics, applied Numerical and Computational Physics, Simulation Theoretical and Applied Mechanics |
| TableOfContents | Computational Methods for Fluid Dynamics -- Copyright -- Preface -- Table of Contents -- 1. Basic Concepts of Fluid Flow -- 2. Introduction to Numerical Methods -- 3. Finite Difference Methods -- 4. Finite Volume Methods -- 5. Solution of Linear Equation Systems -- 6. Methods for Unsteady Problems -- 7. Solution of the Navier-Stokes Equations -- 8. Complex Geometries -- 9. Turbulent Flows -- 10. Compressible Flow -- 11. Efficiency and Accuracy Improvement -- 12. Special Topics -- A. Appendeces -- References -- Index 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 An Introduction to Spectral Methods -- 3.9 The Algebraic Equation System -- 3.10 Discretization Errors -- 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 Practices -- 4.5 Deferred Correction -- 4.6 Implementation of Boundary Conditions -- 4.7 The Algebraic Equation System -- 4.8 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 Convergence Criteria -- 5.7 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 Axisymmetric 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 -- 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 Multigrid Methods for Flow Calculation -- 11.2 Adaptive Grid Methods and Local Grid Refinement -- 11.3 Parallel Computing in CFD -- 12. Special Topics -- 12.1 Moving Grids -- 12.2 Free Surface Flows -- 12.3 Heat Transfer -- 12.4 Flow With Variable Fluid Properties -- 12.5 Meteorological and Oceanographic Applications -- 12.6 Combustion -- A. Appendeces -- A.1 List of Computer Codes and How to Access Them -- A.2 List of Frequently Used Abbreviations. |
| Title | Computational methods for fluid dynamics |
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