High-Resolution Methods for Incompressible and Low-Speed Flows

High-Resolution Methods for Incompressible and Low-Speed Flows

by Dimitris Drikakis and William Rider 

2005 (622 pages)

ISBN:9783540221364

Addressed to a broad readership, this book covers the basic techniques for simulating incompressible and low-speed flows with high fidelity in conjunction with high-resolution methods, including techniques for steady and unsteady flows.

High-Resolution Methods for Incompressible and Low-Speed Flows

Preface by Frank Harlow

Chapter 1

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Introduction

Part I - Fundamental Physical and Model Equations

Chapter 2

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The Fluid Flow Equations

Chapter 3

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The Viscous Fluid Flow Equations

Chapter 4

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Curvilinear Coordinates and Transformed Equations

Chapter 5

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Overview of Various Formulations and Model Equations

Chapter 6

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Basic Principles in Numerical Analysis

Chapter 7

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Time Integration Methods

Chapter 8

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Numerical Linear Algebra

Part II - Solution Approaches

Chapter 9

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Compressible and Preconditioned-Compressible Solvers

Chapter 10

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The Artificial Compressibility Method

Chapter 11

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Projection Methods—The Basic Theory and the Exact Projection Method

Chapter 12

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Approximate Projection Methods

Part III - Modern High-Resolution Methods

Chapter 13

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Introduction to Modem High-Resolution Methods

Chapter 14

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High-Resolution Godunov-Type Methods for Projection Methods

Chapter 15

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Centered High-Resolution Methods

Chapter 16

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Riemann Solvers and TVD Methods in Strict Conservation Form

Chapter 17

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Beyond Second-Order Methods

Part IV - Applications

Chapter 18

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Variable Density Flows and Volume Tracking Methods

Chapter 19

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High-Resolution Methods and Turbulent Flow Computation

Appendix A

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Mathematica Commands for Numerical Analysis

Appendix B

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Example Computer Implementations

Appendix C

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Acknowledgements—Illustrations Reproduced with Permission

References