Fully Implicit, Coupled Procedures in Computational Fluid Dynamics (eBook)

An Engineer's Resource Book

Zeka Mazhar (Autor)

eBook Download: PDF

2016 | 1st ed. 2016
XVI, 173 Seiten
Springer International Publishing (Verlag)
978-3-319-29895-5 (ISBN)

Infos

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.  

Inhalt

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.

Produkt-Details

• Erscheint lt. Verlag: 8.2.2016
• Reihe/Serie: Fluid Mechanics and Its Applications
• Reihe/Serie: Fluid Mechanics and Its Applications
• Zusatzinfo: XVI, 173 p. 50 illus.
• Verlagsort: Cham
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Informatik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• Themenwelt: Technik ► Maschinenbau
• Schlagworte: Computational fluid mechanics • Coupled Solution Procedures • decomposition mechanism • fluid- and aerodynamics • incompressible fluid flow solutions • Velocity-Pressure Coupling Problem
• ISBN-10: 3-319-29895-X / 331929895X
• ISBN-13: 978-3-319-29895-5 / 9783319298955