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

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...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Mazhar, Zeka (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Colección:Fluid Mechanics and Its Applications, 115
Temas:
Fluid mechanics.
Mathematics-Data processing.
Continuum mechanics.
Engineering Fluid Dynamics.
Computational Science and Engineering.
Continuum Mechanics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

Ejemplares similares