Numerical Computation of Internal and External Flows Volume 2: Computational Methods for Inviscid and Viscous Flows C. Hirsch, Vrije Universiteit Brussel, Brussels, Belgium This second volume deals with the applications of computational methods to the problems of fluid dynamics. It complements the first volume to provide an excellent reference source in this vital and fast growing area. The author includes material on the numerical computation of potential flows and on the most up-to-date methods for Euler and Navier-Stokes equations. The coverage is comprehensive and includes detailed discussion of numerical techniques and algorithms, including implementation topics such as boundary conditions. Problems are given at the end of each chapter and there are comprehensive reference lists. Of increasing interest, the subject has powerful implications in such crucial fields as aeronautics and industrial fluid dynamics. Striking a balance between theory and application, the combined volumes will be useful for an increasing number of courses, as well as to practitioners and researchers in computational fluid dynamics. Contents Preface Nomenclature Part V: The Numerical Computation of Potential Flows Chapter 13 The Mathematical Formulations of the Potential Flow Model Chapter 14 The Discretization of the Subsonic Potential Equation Chapter 15 The Computation of Stationary Transonic Potential Flows Part VI: The Numerical Solution of the System of Euler Equations Chapter 16 The Mathematical Formulation of the System of Euler Equations Chapter 17 The Lax - Wendroff Family of Space-centred Schemes Chapter 18 The Central Schemes with Independent Time Integration Chapter 19 The Treatment of Boundary Conditions Chapter 20 Upwind Schemes for the Euler Equations Chapter 21 Second-order Upwind and High-resolution Schemes Part VII: The Numerical Solution of the Navier-Stokes Equations Chapter 22 The Properties of the System of Navier-Stokes Equations Chapter 23 Discretization Methods for the Navier-Stokes Equations Index
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The two volumes in this series are devoted to the numerical modeling of fluid flows. The first volume covers the fundamentals of numerical discretization techniques and describes all the steps in the definition and development of a numerical simulation. The second volume complements the first by dealing with the application of computational methods to the problems of fluid dynamics. Together, the two volumes provide an excellent reference source for practitioners and researchers working in computational fluid dynamics. The series will also be useful in courses in computational fluid dynamics, providing comprehensive coverage and including discussion of the equations used and the circumstances in which they are suitable; the numerical techniques used and their solutions and methods for producing computer programs. Features end-of-chapter problems and comprehensive reference lists.
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Numerical Computation of Internal and External Flows Volume 2: Computational Methods for Inviscid and Viscous Flows C. Hirsch, Vrije Universiteit Brussel, Brussels, Belgium This second volume deals with the applications of computational methods to the problems of fluid dynamics. It complements the first volume to provide an excellent reference source in this vital and fast growing area. The author includes material on the numerical computation of potential flows and on the most up-to-date methods for Euler and Navier-Stokes equations. The coverage is comprehensive and includes detailed discussion of numerical techniques and algorithms, including implementation topics such as boundary conditions. Problems are given at the end of each chapter and there are comprehensive reference lists. Of increasing interest, the subject has powerful implications in such crucial fields as aeronautics and industrial fluid dynamics. Striking a balance between theory and application, the combined volumes will be useful for an increasing number of courses, as well as to practitioners and researchers in computational fluid dynamics. Contents Preface Nomenclature Part V: The Numerical Computation of Potential Flows Chapter 13 The Mathematical Formulations of the Potential Flow Model Chapter 14 The Discretization of the Subsonic Potential Equation Chapter 15 The Computation of Stationary Transonic Potential Flows Part VI: The Numerical Solution of the System of Euler Equations Chapter 16 The Mathematical Formulation of the System of Euler Equations Chapter 17 The Lax - Wendroff Family of Space-centred Schemes Chapter 18 The Central Schemes with Independent Time Integration Chapter 19 The Treatment of Boundary Conditions Chapter 20 Upwind Schemes for the Euler Equations Chapter 21 Second-order Upwind and High-resolution Schemes Part VII: The Numerical Solution of the Navier-Stokes Equations Chapter 22 The Properties of the System of Navier-Stokes Equations Chapter 23 Discretization Methods for the Navier-Stokes Equations Index
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4.0 out of 5 stars
Good CFD book.,
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This review is from: Numerical Computation of Internal and External Flows, Computational Methods for Inviscid and Viscous Flows (Numerical Computation of Internal & External Flows, Computat) (Volume 2) (Paperback)
This is a very dense book that covers a lot of information. Hirsch sometimes references volume 1, but I haven't found any need to go back to it. Good formulations for the Euler equations and upwind methods. I've heard a cheaper second edition is coming out soon.
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Inside This Book
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First Sentence:
The potential flow model can be expressed in several ways, through differential as well as integral, weak, formulations. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
isentropic potential model, mass flux error, transonic potential flow computations, linear convection equation, upwind numerical flux, subsonic potential flows, extrapolated boundary conditions, shock tube problem, full potential equation, external flow problems, subsonic outlet, central space discretization, artificial dissipation terms, upwind differenced, flux vector splitting scheme, central discretization, split fluxes, numerical boundary conditions, subsonic inlet, potential flow model, conservative variables, flux splitting, transonic potential flows, flux extrapolation, line relaxation method Key Phrases - Capitalized Phrases (CAPs): (learn more)
Van Leer, Aerospace Sciences Meeting, Journal Computational Physics, Von Neumann, Computational Fluid Dynamics Conference, New York, Springer Verlag, Mathematics of Computation, Repeat Problem, Shock Tube Flow Shock Tube Flow, Divergent Nozzle Flow Steady State, Academic Press, Langley Research Center, Ames Research Center, Applied Mechanics, Journal Numerical Analysis, Reynolds-averaged Navier-Stokes, Journal of Computational Physics, Apply the Lax-Friedrichs, North Holland, Numerical Heat Transfer, Pineridge Press, Van Albada, Aerospaces Sciences Meeting, Computational Transonics New!
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The potential flow model can be expressed in several ways, through differential as well as integral, weak, formulations. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
isentropic potential model, mass flux error, transonic potential flow computations, linear convection equation, upwind numerical flux, subsonic potential flows, extrapolated boundary conditions, shock tube problem, full potential equation, external flow problems, subsonic outlet, central space discretization, artificial dissipation terms, upwind differenced, flux vector splitting scheme, central discretization, split fluxes, numerical boundary conditions, subsonic inlet, potential flow model, conservative variables, flux splitting, transonic potential flows, flux extrapolation, line relaxation method Key Phrases - Capitalized Phrases (CAPs): (learn more)
Van Leer, Aerospace Sciences Meeting, Journal Computational Physics, Von Neumann, Computational Fluid Dynamics Conference, New York, Springer Verlag, Mathematics of Computation, Repeat Problem, Shock Tube Flow Shock Tube Flow, Divergent Nozzle Flow Steady State, Academic Press, Langley Research Center, Ames Research Center, Applied Mechanics, Journal Numerical Analysis, Reynolds-averaged Navier-Stokes, Journal of Computational Physics, Apply the Lax-Friedrichs, North Holland, Numerical Heat Transfer, Pineridge Press, Van Albada, Aerospaces Sciences Meeting, Computational Transonics New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 54
books:
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- Schaum's Outline of Fluid Dynamics (Schaum's) by William Hughes on 4 pages
- Finite Elements in Fluids (Wiley Series in Numerical Methods in Engineering) (Volume 3) by Richard H. Gallagher on 4 pages
- Numerical Methods for Fluid Dynamics (The Institute of Mathematics and Its Applications conference series) (v. 1) by K. W. Morton on page 120, page 131, and page 298
- Numerical Methods for the Euler Equations of Fluid Dynamics by Angrand on page 297, page 484, and page 485
- Computational Fluid Dynamics by John Anderson on page 402, page 483, and page 585
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