000 05086nam a22005415i 4500
001 978-3-319-29895-5
003 DE-He213
005 20220801222551.0
007 cr nn 008mamaa
008 160208s2016 sz | s |||| 0|eng d
020 _a9783319298955
_9978-3-319-29895-5
024 7 _a10.1007/978-3-319-29895-5
_2doi
050 4 _aTA357-359
072 7 _aTGMF
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aTGMF
_2thema
082 0 4 _a620.1064
_223
100 1 _aMazhar, Zeka.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_962170
245 1 0 _aFully Implicit, Coupled Procedures in Computational Fluid Dynamics
_h[electronic resource] :
_bAn Engineer's Resource Book /
_cby Zeka Mazhar.
250 _a1st ed. 2016.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2016.
300 _aXVI, 173 p. 50 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aFluid Mechanics and Its Applications,
_x2215-0056 ;
_v115
505 0 _aPreface -- 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.
520 _aThis 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. .
650 0 _aFluid mechanics.
_92810
650 0 _aMathematics—Data processing.
_931594
650 0 _aContinuum mechanics.
_93467
650 1 4 _aEngineering Fluid Dynamics.
_962171
650 2 4 _aComputational Science and Engineering.
_962172
650 2 4 _aContinuum Mechanics.
_93467
710 2 _aSpringerLink (Online service)
_962173
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783319298948
776 0 8 _iPrinted edition:
_z9783319298962
776 0 8 _iPrinted edition:
_z9783319806808
830 0 _aFluid Mechanics and Its Applications,
_x2215-0056 ;
_v115
_962174
856 4 0 _uhttps://doi.org/10.1007/978-3-319-29895-5
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c80913
_d80913