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Author Drikakis, D. (Dimitris)

Title High-resolution methods for incompressible and low-speed flows / Dimitris Drikakis, William Rider.

Imprint Berlin ; New York : Springer-Verlag, ©2005.

Copies

Location Call No. OPAC Message Status
 Axe Books 24x7 Engineering E-Book  Electronic Book    ---  Available
Description 1 online resource (xx, 622 pages) : illustrations.
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Series Computational fluid and solid mechanics
Computational fluid and solid mechanics.
Bibliography Includes bibliographical references (pages 577-613) and index.
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.
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.
Language English.
Subject Fluid mechanics.
Numerical analysis.
Ingénierie.
Fluid mechanics. (OCoLC)fst00927999
Numerical analysis. (OCoLC)fst01041273
Mecânica dos fluídos.
Análise numérica.
Genre/Form Electronic books.
Added Author Rider, William.
Other Form: Print version: Drikakis, D. (Dimitris). High-resolution methods for incompressible and low-speed flows. Berlin ; New York : Springer-Verlag, ©2005 3540221360 9783540221364 (DLC) 2004107327 (OCoLC)59149430
ISBN 3540221360 (alk. paper)
9783540221364 (alk. paper)
9783540264545
354026454X
128030474X
9781280304743
6610304742
9786610304745
Standard No. 10.1007/b137615 doi
AU@ 000042136899
AU@ 000043179718
AU@ 000060544354
DEBSZ 379303531
DEBSZ 430422857
NLGGC 317439308
NZ1 12053256

 
    
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