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Fully Implicit, Coupled Procedures in Computational Fluid Dynamics
An Engineer's Resource Book
Buch von Zeka Mazhar
Sprache: Englisch

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Beschreibung
This book introduces a new generation of superfast algorithms
for the treatment of the notoriously difficult velocity-pressure coupling
problem in incompressible fluid flow solutions. It provides all the necessary details for the understanding and
implementation of the procedures. The derivation and construction of the
fully-implicit, block-coupled, incomplete decomposition mechanism are given in
a systematic, but easy fashion. Worked-out solutions are included, with
comparisons and discussions. A complete program code is included for faster
implementation of the algorithm. A brief literature review of the development
of the classical solution procedures is included as well.
This book introduces a new generation of superfast algorithms
for the treatment of the notoriously difficult velocity-pressure coupling
problem in incompressible fluid flow solutions. It provides all the necessary details for the understanding and
implementation of the procedures. The derivation and construction of the
fully-implicit, block-coupled, incomplete decomposition mechanism are given in
a systematic, but easy fashion. Worked-out solutions are included, with
comparisons and discussions. A complete program code is included for faster
implementation of the algorithm. A brief literature review of the development
of the classical solution procedures is included as well.
Zusammenfassung

Serves as new benchmark book for application research

Contains all details of construction for implementing the procedures

Includes solved problems and applications

Includes supplementary material: [...]

Inhaltsverzeichnis

Preface.- Chapter
1 Introduction.- 1.1 Scope of the Book.- 1.2 Outline of the Book.- Chapter 2
Preliminaries.- 2.1 Quadratic Interpolation.- 2.2 Approximations using
Lagrangian Polynomial.- 2.3 Approximations using Taylor Series.- 2.4 General
Elimination Technique for Linear Systems.- 2.5 Solution Techniques for Special
Linear Systems.- Chapter 3 Governing Differential Equations.- 3.1 Governing
Equations.- 3.2 Characteristics of the Governing Equations.- 3.3 The
Velocity-Pressure Coupling Problem.- Chapter 4 Finite Difference Formulations.-
4.1 Manipulation of the Momentum Equations.- 4.2 Grid Arrangement for the
Solution .- 4.3 Profile Assumptions for the Discretizations.- 4.4
Discretization of the Governing Equations.- 4.5 A Discussion on the Profile
Assumptions.- Chapter 5 Preparations For Solution.- 5.1 The Solution Region.- 5.2 Boundary Conditions.- 5.3 Incorporating Relaxation.- Chapter 6 Assembling The Discretized Equations
Into A Block Matrix System.- 6.1 The Numbering Scheme.- 6.2 Construction of the
Block Matrix System.- 6.3. Disadvantages
of the Block Matrix.- Chapter 7 The Solution Procedure: Block Incomplete
Decomposition.- 7.1 Properties and Advantages of the Block Matrix.- 7.2 General
Incomplete Decomposition.- 7.3 An Incomplete Decomposition of the Block System
(BIP).- 7.4 The Block Solution Procedure.-
7.5 Complete Solution of the Flow Field.- 7.6 A Family of Procedures: BIPEN,
FICS-1, FICS-2.- 7.7 Storage Requirements and Complexity.- 7.8 The Simplest Case (Simple Implicit
Coupled Solution- SICS).- Chapter 8 Applications And Testing.- 8.1
Benchmark Fluid Flow Problems.- 8.2 Testing Criteria.- 8.3 Performance Analysis
and Comparisons.- 8.4 A Discussion of the Mechanism of the Procedures.- 8.5
Comparison with the Segregated-Type Procedures.- 8.6 Convergence
Characteristics and Performances of SICS and SIMPLER: A Relative Comparison.- Chapter
9: Special Cases.- 9.1 Time-Dependent Problems.- 9.2 Stoke's Flow Equations.- 9.3
Turbulent Flows and Heat Transfer.- 9.4
Adaptation to Existing Codes.- 9.5 Three-Dimensional Problems.- Chapter 10 Concluding Remarks.- Appendix A: A Critical Survey of
Literature-an Adventure Into Perfection.- Appendix B: Segregated Solution
Procedures: Simple And Simpler.- Appendix C: Fortran Subroutines -
Blocksolfics2 and Blocksolsics.- References.- Nomenclature.- Index.

Details
Erscheinungsjahr: 2016
Fachbereich: Fertigungstechnik
Genre: Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Fluid Mechanics and Its Applications
Inhalt: xvi
173 S.
50 s/w Illustr.
173 p. 50 illus.
ISBN-13: 9783319298948
ISBN-10: 3319298941
Sprache: Englisch
Herstellernummer: 978-3-319-29894-8
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Mazhar, Zeka
Auflage: 1st ed. 2016
Hersteller: Springer Nature Switzerland
Springer International Publishing
Springer International Publishing AG
Fluid Mechanics and Its Applications
Maße: 241 x 160 x 17 mm
Von/Mit: Zeka Mazhar
Erscheinungsdatum: 16.02.2016
Gewicht: 0,459 kg
Artikel-ID: 103982762
Zusammenfassung

Serves as new benchmark book for application research

Contains all details of construction for implementing the procedures

Includes solved problems and applications

Includes supplementary material: [...]

Inhaltsverzeichnis

Preface.- Chapter
1 Introduction.- 1.1 Scope of the Book.- 1.2 Outline of the Book.- Chapter 2
Preliminaries.- 2.1 Quadratic Interpolation.- 2.2 Approximations using
Lagrangian Polynomial.- 2.3 Approximations using Taylor Series.- 2.4 General
Elimination Technique for Linear Systems.- 2.5 Solution Techniques for Special
Linear Systems.- Chapter 3 Governing Differential Equations.- 3.1 Governing
Equations.- 3.2 Characteristics of the Governing Equations.- 3.3 The
Velocity-Pressure Coupling Problem.- Chapter 4 Finite Difference Formulations.-
4.1 Manipulation of the Momentum Equations.- 4.2 Grid Arrangement for the
Solution .- 4.3 Profile Assumptions for the Discretizations.- 4.4
Discretization of the Governing Equations.- 4.5 A Discussion on the Profile
Assumptions.- Chapter 5 Preparations For Solution.- 5.1 The Solution Region.- 5.2 Boundary Conditions.- 5.3 Incorporating Relaxation.- Chapter 6 Assembling The Discretized Equations
Into A Block Matrix System.- 6.1 The Numbering Scheme.- 6.2 Construction of the
Block Matrix System.- 6.3. Disadvantages
of the Block Matrix.- Chapter 7 The Solution Procedure: Block Incomplete
Decomposition.- 7.1 Properties and Advantages of the Block Matrix.- 7.2 General
Incomplete Decomposition.- 7.3 An Incomplete Decomposition of the Block System
(BIP).- 7.4 The Block Solution Procedure.-
7.5 Complete Solution of the Flow Field.- 7.6 A Family of Procedures: BIPEN,
FICS-1, FICS-2.- 7.7 Storage Requirements and Complexity.- 7.8 The Simplest Case (Simple Implicit
Coupled Solution- SICS).- Chapter 8 Applications And Testing.- 8.1
Benchmark Fluid Flow Problems.- 8.2 Testing Criteria.- 8.3 Performance Analysis
and Comparisons.- 8.4 A Discussion of the Mechanism of the Procedures.- 8.5
Comparison with the Segregated-Type Procedures.- 8.6 Convergence
Characteristics and Performances of SICS and SIMPLER: A Relative Comparison.- Chapter
9: Special Cases.- 9.1 Time-Dependent Problems.- 9.2 Stoke's Flow Equations.- 9.3
Turbulent Flows and Heat Transfer.- 9.4
Adaptation to Existing Codes.- 9.5 Three-Dimensional Problems.- Chapter 10 Concluding Remarks.- Appendix A: A Critical Survey of
Literature-an Adventure Into Perfection.- Appendix B: Segregated Solution
Procedures: Simple And Simpler.- Appendix C: Fortran Subroutines -
Blocksolfics2 and Blocksolsics.- References.- Nomenclature.- Index.

Details
Erscheinungsjahr: 2016
Fachbereich: Fertigungstechnik
Genre: Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Fluid Mechanics and Its Applications
Inhalt: xvi
173 S.
50 s/w Illustr.
173 p. 50 illus.
ISBN-13: 9783319298948
ISBN-10: 3319298941
Sprache: Englisch
Herstellernummer: 978-3-319-29894-8
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Mazhar, Zeka
Auflage: 1st ed. 2016
Hersteller: Springer Nature Switzerland
Springer International Publishing
Springer International Publishing AG
Fluid Mechanics and Its Applications
Maße: 241 x 160 x 17 mm
Von/Mit: Zeka Mazhar
Erscheinungsdatum: 16.02.2016
Gewicht: 0,459 kg
Artikel-ID: 103982762
Warnhinweis