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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.
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.
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: [...]
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.
| Erscheinungsjahr: | 2016 |
|---|---|
| Fachbereich: | Fertigungstechnik |
| Genre: | Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Seiten: | 192 |
| 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 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 |
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: [...]
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.
| Erscheinungsjahr: | 2016 |
|---|---|
| Fachbereich: | Fertigungstechnik |
| Genre: | Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Seiten: | 192 |
| 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 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 |
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