| Description |
1 online resource (xvi, 173 pages) : illustrations |
| Series |
Fluid mechanics and its applications, 0926-5112 ; volume 115 |
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Fluid mechanics and its applications ; v. 115.
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| Contents |
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 |
| Summary |
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 |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Online resource; title from PDF title page (SpringerLink, viewed February 16, 2016) |
| Subject |
Computational fluid dynamics.
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Maths for scientists.
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Fluid mechanics.
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Mechanics of fluids.
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TECHNOLOGY & ENGINEERING -- Engineering (General)
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TECHNOLOGY & ENGINEERING -- Reference.
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Computational fluid dynamics
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| Form |
Electronic book
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| ISBN |
9783319298955 |
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331929895X |
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3319298941 |
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9783319298948 |
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