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Fully implicit, coupled procedures i...

Mazhar, Zeka.

Fully implicit, coupled procedures in computational fluid dynamicsan engineer's resource book /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Fully implicit, coupled procedures in computational fluid dynamicsby Zeka Mazhar.
Reminder of title:	an engineer's resource book /
Author:	Mazhar, Zeka.
Published:	Cham :Springer International Publishing :2016.
Description:	xvi, 173 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Computational fluid dynamics.
Online resource:	http://dx.doi.org/10.1007/978-3-319-29895-5
ISBN:	9783319298955$q(electronic bk.)

Fully implicit, coupled procedures in computational fluid dynamicsan engineer's resource book /
Mazhar, Zeka.

Fully implicit, coupled procedures in computational fluid dynamicsan engineer's resource book /[electronic resource] :by Zeka Mazhar. - Cham :Springer International Publishing :2016. - xvi, 173 p. :ill., digital ;24 cm. - Fluid mechanics and its applications,v.1150926-5112 ;. - Fluid mechanics and its applications ;v.98..

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.

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.

ISBN: 9783319298955$q(electronic bk.)

Standard No.: 10.1007/978-3-319-29895-5doiSubjects--Topical Terms:

376217
Computational fluid dynamics.

LC Class. No.: QA911

Dewey Class. No.: 620.1064

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505 0 $a 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.
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