| Description |
1 online resource (xx, 622 pages) : illustrations |
| Series |
Computational fluid and solid mechanics |
|
Computational fluid and solid mechanics.
|
| Contents |
Cover -- Table of Contents -- Preface -- 1. Introduction -- Part I. Fundamental Physical and Model Equations -- 2. The Fluid Flow Equations -- 2.1 Mathematical Preliminaries -- 2.2 Kinematic Considerations -- 2.3 The Equations for Variable Density Flows -- 2.4 Compressible Euler Equations -- 2.5 Low-Mach Number Scaling -- 2.6 Boussinesq Approximation -- 2.7 Variable Density Flow -- 2.8 Zero Mach Number Combustion -- 2.9 Initial and Boundary Conditions -- 3. The Viscous Fluid Flow Equations -- 3.1 The Stress and Strain Tensors for a Newtonian Fluid -- 3.2 The Navier-Stokes Equations for Constant Density Flows -- 3.3 Non-Newtonian Constitutive Equations for the Shear-Stress Tensor -- 3.4 Alternative Forms of the Advective and Viscous Terms -- 3.5 Nondimensionalization of the Governing Equations -- 3.6 General Remarks on Turbulent Flow Simulations -- 3.7 Reynolds-Averaged Navier-Stokes Equations (RANS) -- 3.8 Large Eddy Simulation (LES) -- 3.9 Closing Remarks -- 4. Curvilinear Coordinates and Transformed Equations -- 4.1 Generalized Curvilinear Coordinates -- 4.2 Calculation of Metrics -- 4.3 Transformation of the Fluid Flow Equations -- 4.4 Viscous Terms -- 4.5 Geometric Conservation Law -- 5. Overview of Various Formulations and Model Equations -- 5.1 Overview of Various Formulations of the Incompressible Flow Equations -- 5.2 Model Equations -- 6. Basic Principles in Numerical Analysis -- 6.1 Stability, Consistency and Accuracy -- 6.2 Fourier Analysis -- 6.3 Modified Equation Analysis -- 6.4 Verification via Sample Calculations -- 7. Time Integration Methods -- 7.1 Time Integration of the Flow Equations -- 7.2 Lax-Wendroff-Type Methods -- 7.3 Other Approaches to Time-Centering -- 7.4 Runge-Kutta Methods -- 7.5 Linear Multi-step Methods -- 8. Numerical Linear Algebra -- 8.1 Basic Numerical Linear Algebra -- 8.2 Basic Relaxation Methods -- 8.3 Conjugate Gradient and Krylov Subspace Methods -- 8.4 Multigrid Algorithm for Elliptic Equations -- 8.5 Multigrid Algorithm as a Preconditioner for Krylov Subspace Methods -- 8.6 Newton's and Newton-Krylov Method -- 8.7 A Multigrid Newton-Krylov Algorithm -- Part II. Solution Approaches -- 9. Compressible and Preconditioned-Compressible Solvers -- 9.1 Reconstructing the Dependent Variables -- 9.2 Reconstructing the Fluxes -- 9.3 Preconditioning for Low Speed Flows -- 10. The Artificial Compressibility Method -- 10.1 Basic Formulation -- 10.2 Convergence to the Incompressible Limit -- 10.3 Preconditioning and the Artificial Compressibility Method -- 10.4 Eigenstructure of the Incompressible Equations -- 10.5 Estimation of the Artificial Compressibility Parameter -- 10.6 Explicit Solvers for Artificial Compressibility -- 10.7 Implicit Solvers for Artificial Compressibility -- 10.8 Extension of the Artificial Compressibility to Unsteady Flows -- 10.9 Boundary Conditions -- 10.10 Local Time Step -- 10.11 Multigrid for the Artificial-Compressibility Formulation -- 11. Projection Methods: The Basic Theory and the Exact Projection Method -- 11.1 Grids ... Variable Positioning -- 11.2 Continuous Projections for Incompressible Flow -- 11.3 Exact Discrete Projections -- 11.4 Second-Order |
| Summary |
C. "This book covers the basic techniques for simulating incompressible and low speed flows with high fidelity in conjunction with high resolution methods. This includes techniques for steady and unsteady flows with high order time integration and multigrid methods as well as specific issues associated with interfacial and turbulent flows. The book is addressed to a broad readership, including engineers and scientists concerned with the development or application of computation methods for fluid flow problems."--Jacket |
| Bibliography |
Includes bibliographical references (pages 577-613) and index |
| Notes |
English |
| In |
OhioLINK electronic book center |
|
SpringerLink |
| Subject |
Fluid mechanics.
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Numerical analysis.
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Hydraulic engineering.
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Engineering.
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hydraulic engineering.
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engineering.
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computer science.
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data processing.
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Ingénierie.
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Fluid mechanics
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Numerical analysis
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Mecânica dos fluídos.
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Análise numérica.
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| Form |
Electronic book
|
| Author |
Rider, William
|
| LC no. |
2004107327 |
| ISBN |
3540221360 |
|
9783540221364 |
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9783540264545 |
|
354026454X |
|
128030474X |
|
9781280304743 |
|
6610304742 |
|
9786610304745 |
|
