Numerical Computation of Internal and External Flows, Volume 1

Fundamentals of Numerical Discretization

AvCharles Hirsch

Häftad, Engelska, 1989

Del 31 i serien Wiley Series in Numerical Methods in Engineering

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Beskrivning

Numerical Computation of Internal and External Flows Volume 1: Fundamentals of Numerical DiscretizationC. Hirsch, Vrije Universiteit Brussel, Brussels, BelgiumThis is the first of two volumes which together describe comprehensively the theory and practice of the numerical computation of internal and external flows. In this volume, the author explains the use of basic computational methods to solve problems in fluid dynamics, comparing these methods so that the reader can see which would be the most appropriate to use for a particular problem. The book is divided into four parts. In the first part, mathematical models are introduced. In the second part, the various numerical methods are described, while in the third and fourth parts the workings of these methods are investigated in some detail.Volume 2 will be concerned with the applications of numerical methods to flow problems, and together the two volumes will provide an excellent reference for practitioners and researchers working in computational fluid mechanics and dynamics.

Produktinformation

Utgivningsdatum:1989-07-26
Mått:157 x 237 x 30 mm
Vikt:794 g
Format:Häftad
Språk:Engelska
Serie:Wiley Series in Numerical Methods in Engineering
Antal sidor:536
Förlag:John Wiley & Sons Inc
ISBN:9780471923855

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Mer om författaren

Charles Sidney Hirsch was an American forensic pathologist who served as the Chief Medical Examiner of New York City from 1989 until 2013. He oversaw the identification of victims from the World Trade Center attacks in 2001.

Innehållsförteckning

PrefaceNomenclaturePart 1 The Mathematical Models for Fluid Flow Simulations at Various Levels of Approximation IntroductionChapter 1 The Basic Equations of Fluid DynamicsChapter 2 The Dynamic Levels of ApproximationChapter 3 The Mathematical Nature of the Flow Equations and their Boundary ConditionsPart II Basic Discretization TechniquesChapter 4 The Finite Difference MethodChapter 5 The Finite Element MethodChapter 6 Finite Volume Method and Conservative DiscretizationsPart III The Analysis of Numerical SchemesChapter 7 The Concepts of Consistency, Stability and ConvergenceChapter 8 The Von Neumann Method for Stability AnalysisChapter 9 The Method of the Equivalent Differential Equation for the Analysis of StabilityChapter 10 The Matrix Method for Stability AnalysisPart IV The Resolution of Discretized EquationsChapter 11 Integration Methods for Systems of Ordinary Differential EquationsChapter 12 Iterative Methods for the Resolution of Algebraic SystemsAppendix Thomas Algorithm for Tridiagonal SystemsIndex