Fully Implicit, Coupled Procedures in Computational Fluid Dynamics An Engineer's Resource Book /

• Κύριος συγγραφέας: Mazhar, Zeka (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Έκδοση: 1st ed. 2016.
• Σειρά: Fluid Mechanics and Its Applications, 115
• Θέματα: Engineering.; Computer mathematics.; Fluids.; Fluid mechanics.; Engineering Fluid Dynamics.; Computational Science and Engineering.; Fluid- and Aerodynamics.

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...

Πίνακας περιεχομένων:

• 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.