Computational fluid mechanics and heat transfer:
Gespeichert in:
| Beteiligte Personen: | , , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Boca Raton, Fla. [u.a.]
CRC Press, Taylor & Francis
2013
|
| Ausgabe: | 3rd ed. |
| Schriftenreihe: | Series in computational and physical processes in mechanics and thermal sciences
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025288818&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Literaturverz. S. 705 - 740 |
| Umfang: | XX, 753 S. graph. Darst. |
| ISBN: | 9781591690375 |
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| 245 | 1 | 0 | |a Computational fluid mechanics and heat transfer |c Richard H. Pletcher ; John C. Tannehill ; Dale A. Anderson |
| 250 | |a 3rd ed. | ||
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Datensatz im Suchindex
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|---|---|
| DE-BY-TUM_katkey | 1875041 |
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| _version_ | 1821935048709898240 |
| adam_text | Titel: Computational fluid mechanics and heat transfer
Autor: Pletcher, Richard H
Jahr: 2013
Contents
Preface to the Third Edition..........................................................................................................xiii
Preface to the Second Edition..........................................................................................................xv
Preface to the First Edition............................................................................................................xvii
Authors............................................................................................................................................xix
PART I Fundamentals
Chapter 1 Introduction..................................................................................................................3
1.1 General Remarks...............................................................................................3
1.2 Comparison of Experimental, Theoretical, and Computational Approaches... 5
1.3 Historical Perspective........................................................................................9
Chapter 2 Partial Differential Equations....................................................................................13
2.1 Introduction.....................................................................................................13
2.1.1 Partial Differential Equations............................................................13
2.2 Physical Classification.....................................................................................14
2.2.1 Equilibrium Problems........................................................................14
2.2.2 Eigenvalue Problems..........................................................................17
2.2.3 Marching Problems............................................................................17
2.3 Mathematical Classification............................................................................20
2.3.1 Hyperbolic PDEs................................................................................23
2.3.2 Parabolic PDEs...................................................................................27
2.3.3 EllipticPDEs......................................................................................29
2.4 Well-Posed Problem........................................................................................30
2.5 Systems of Partial Differential Equations.......................................................32
2.6 Other PDEs of Interest.....................................................................................37
Problems.....................................................................................................................38
Chapter 3 Basics of Discretization Methods...............................................................................43
3.1 Introduction.....................................................................................................43
3.2 Finite Differences............................................................................................43
3.3 Difference Representation of Partial Differential Equations..........................50
3.3.1 Truncation Error.................................................................................50
3.3.2 Round-Off and Discretization Errors.................................................51
3.3.3 Consistency........................................................................................52
3.3.4 Stability..............................................................................................52
3.3.5 Convergence for Marching Problems.................................................53
3.3.6 Comment on Equilibrium Problems..................................................53
3.3.7 Conservation Form and Conservative Property.................................54
3.4 Further Examples of Methods for Obtaining Finite-Dif ference Equations.... 56
3.4.1 Use of Taylor Series............................................................................56
vi Contents
3.4.2 Use of Polynomial Fitting..................................................................60
3.4.3 Integral Method..................................................................................64
3.5 Finite-Volume Method.....................................................................................66
3.6 Introduction to the Use of Irregulär Meshes...................................................76
3.6.1 Irregulär Mesh due to Shape of a Boundary......................................76
3.6.2 Irregulär Mesh Not Caused by Shape of a Boundary........................81
3.6.3 Concluding Remarks..........................................................................82
3.7 Stability Considerations...................................................................................82
3.7.1 Fourier or von Neumann Analysis.....................................................83
3.7.2 Stability Analysis for Systems of Equations......................................90
Problems.....................................................................................................................95
Chapter 4 Application of Numerical Methods to Selected Model Equations...........................103
4.1 WaveEquation...............................................................................................103
4.1.1 Euler Explicit Methods.....................................................................104
4.1.2 Upstream (First-Order Upwind or Windward) Differencing
Method.............................................................................................104
4.1.3 Lax Method......................................................................................113
4.1.4 Euler Implicit Method......................................................................114
4.1.5 Leap Frag Method............................................................................116
4.1.6 Lax-Wendroff Method.....................................................................117
4.1.7 Two-Step Lax-Wendroff Method.....................................................119
4.1.8 MacCormack Method.......................................................................119
4.1.9 Second-Order Upwind Method........................................................120
4.1.10 Time-Centered Implicit Method (Trapezoidal Differencing
Method)............................................................................................121
4.1.11 Rusanov (Burstein-Mirin) Method..................................................122
4.1.12 Warming-Kutler-Lomax Method....................................................124
4.1.13 Runge-Kutta Methods.....................................................................124
4.1.14 Additional Comments......................................................................126
4.2 Heat Equation.....................................................................*.........................126
4.2.1 Simple Explicit Method....................................................................127
4.2.2 Richardson s Method........................................................................130
4.2.3 Simple Implicit (Laasonen) Method.................................................130
4.2.4 Crank-Nicolson Method..................................................................131
4.2.5 Combined Method A........................................................................131
4.2.6 Combined Method B........................................................................132
4.2.7 DuFort-Frankel Method..................................................................133
4.2.8 Keller Box and Modified Box Methods...........................................133
4.2.9 Methods for the Two-Dimensional Heat Equation...........................137
4.2.10 ADI Methods....................................................................................139
4.2.11 Splitting or Fractional-Step Methods...............................................141
4.2.12 ADE Methods...................................................................................142
4.2.13 Hopscotch Method...........................................................................143
4.2.14 Additional Comments......................................................................144
4.3 Laplace s Equation.........................................................................................144
4.3.1 Finite-Difference Representations for Laplace s Equation..............144
4.3.1.1 Five-Point Formula...........................................................144
Contents
4.3.1.2 Nine-Point Formula..........................................................145
4.3.1.3 Residual Form ofthe Difference Equations.....................145
4.3.2 Simple Example for Laplace s Equation..........................................146
4.3.3 Direct Methods for Solving Systems of Linear Algebraic
Equations..........................................................................................147
4.3.3.1 Cramer s Rule...................................................................147
4.3.3.2 Gaussian Elimination.......................................................148
4.3.3.3 Thomas Algorithm............................................................150
4.3.3.4 Advanced Direct Methods................................................151
4.3.4 Iterative Methods for Solving Systems of Linear Algebraic
Equations..........................................................................................152
4.3.4.1 Gauss-Seidel Iteration......................................................152
4.3.4.2 Sufficient Condition for Convergence
of the Gauss-Seidel Procedure.........................................154
4.3.4.3 Successive Overrelaxation................................................155
4.3.4.4 Coloring Schemes.............................................................156
4.3.4.5 Block-Iterative Methods....................................................158
4.3.4.6 SOR by Lines....................................................................158
4.3.4.7 ADI Methods....................................................................159
4.3.4.8 Strongly Implicit Methods................................................161
4.3.4.9 Krylov Subspace Methods................................................162
4.3.5 Multigrid Method.............................................................................166
4.3.5.1 Example Using Multigrid.................................................170
4.3.5.2 Multigrid for Nonlinear Equations...................................173
4.4 Burgers Equation (Inviscid).........................................................................175
4.4.1 Lax Method......................................................................................179
4.4.2 Lax-Wendroff Method.....................................................................182
4.4.3 MacCormack Method.......................................................................184
4.4.4 Rusanov (Burstein-Mirin) Method..................................................185
4.4.5 Warming-Kutler-Lomax Method....................................................186
4.4.6 Tuned Third-Order Methods............................................................188
4.4.7 Implicit Methods..............................................................................189
4.4.8 Godunov Scheme.............................................................................192
4.4.9 Roe Scheme......................................................................................194
4.4.10 Enquist-Osher Scheme....................................................................198
4.4.11 Higher-Order Upwind Schemes.......................................................200
4.4.12 TVD Schemes..................................................................................203
4.5 Burgers Equation (Viscous)..........................................................................213
4.5.1 FTCS Method...................................................................................216
4.5.2 Leap Frog/DuFort-Frankel Method................................................221
4.5.3 Brailovskaya Method........................................................................221
4.5.4 Allen-Cheng Method.......................................................................222
4.5.5 Lax-Wendroff Method.....................................................................223
4.5.6 MacCormack Method.......................................................................223
4.5.7 Briley-McDonald Method...............................................................224
4.5.8 Time-Split MacCormack Method....................................................226
4.5.9 ADI Methods....................................................................................227
4.5.10 Predictor-Corrector, Multiple-Iteration Method..............................228
4.5.11 Roe Method......................................................................................229
4.6 Concluding Remarks.....................................................................................230
Problems...................................................................................................................230
viii Contents
PART II Application of Numerical Methods to the Equations
of Fluid Mechanics and Heat Transfer
Chapter 5 Governing Equations of Fluid Mechanics and Heat Transfer..................................247
5.1 Fundamental Equations.................................................................................247
5.1.1 Continuity Equation.........................................................................248
5.1.2 Momentum Equation........................................................................249
5.1.3 Energy Equation...............................................................................252
5.1.4 Equation of State..............................................................................254
5.1.5 Chemically Reacting Flows.............................................................256
5.1.6 Magnetohydrodynamic Flows..........................................................260
5.1.7 Vector Form of Equations................................................................262
5.1.8 Nondimensional Form of Equations................................................263
5.1.9 Orthogonal Curvilinear Coordinates...............................................266
5.2 Averaged Equations for Turbulent Flows......................................................270
5.2.1 Background......................................................................................270
5.2.2 Reynolds Averaged Navier-Stokes Equations.................................272
5.2.3 Reynolds Form of the Continuity Equation.....................................273
5.2.4 Reynolds Form of the Momentum Equations..................................274
5.2.5 Reynolds Form ofthe Energy Equation...........................................276
5.2.6 Comments on the Reynolds Equations.............................................278
5.2.7 Filtered Navier-Stokes Equations for Large-Eddy Simulation........280
5.3 Boundary-Layer Equations............................................................................282
5.3.1 Background......................................................................................282
5.3.2 Boundary-Layer Approximation for Steady Incompressible Flow.......283
5.3.3 Boundary-Layer Equations for Compressible Flow.........................291
5.4 Introduction to Turbulence Modeling............................................................294
5.4.1 Background......................................................................................294
5.4.2 Modeling Terminology.....................................................................295
5.4.3 Simple Algebraic or Zero-Equation Models....................................296
5.4.4 One-Half-Equation Models..............................................................302
5.4.5 One-Equation Models......................................................................304
5.4.6 One-and-One-Half- and Two-Equation Models...............................306
5.4.7 Reynolds Stress Models...................................................................309
5.4.8 Subgrid-Scale Models for Large-Eddy Simulation..........................313
5.4.9 Comments on the Implementation of DES......................................314
5.4.10 Closing Comment on Turbulence Modeling....................................314
5.5 Euler Equations.............................................................................................315
5.5.1 Continuity Equation.........................................................................315
5.5.2 Inviscid Momentum Equations........................................................316
5.5.3 Inviscid Energy Equations...............................................................319
5.5.4 Additional Equations........................................................................320
5.5.5 Vector Form of Euler Equations.......................................................323
5.5.6 Quasi-One-Dimensional Form of the Euler Equations....................323
5.5.6.1 Conservation of Mass.......................................................323
5.5.6.2 Conservation of Momentum.............................................324
5.5.6.3 Conservation of Energy....................................................324
5.5.7 Simplified Forms of Euler Equations...............................................325
5.5.8 Shock Equations...............................................................................327
Contents ix
5.6 Transformation of Governing Equations.......................................................329
5.6.1 Simple Transformations...................................................................329
5.6.2 Generalized Transformation............................................................334
5.7 Finite-Volume Formulation...........................................................................337
5.7.1 Two-Dimensional Finite-Volume Method........................................338
5.7.2 Three-Dimensional Finite-Volume Method.....................................342
Problems...................................................................................................................343
Chapter 6 Numerical Methods for Inviscid Flow Equations....................................................349
6.1 Introduction...................................................................................................349
6.2 Method of Characteristics.............................................................................349
6.2.1 Linear Systems of Equations............................................................350
6.2.2 Nonlinear Systems of Equations......................................................358
6.3 Classical Shock-Capturing Methods.............................................................362
6.4 Flux Splitting Schemes..................................................................................373
6.4.1 Steger-Warming Splitting................................................................374
6.4.2 van Leer Flux Splitting....................................................................379
6.4.3 Other Flux Splitting Schemes..........................................................380
6.4.4 Application for Arbitrarily Shaped Cells.........................................382
6.5 Flux-Difference Splitting Schemes...............................................................384
6.5.1 Roe Scheme......................................................................................385
6.5.2 Second-Order Schemes....................................................................391
6.6 Multidimensional Case in a General Coordinate System..............................394
6.7 Boundary Conditions for the Euler Equations..............................................398
6.8 Methods for Solving the Potential Equation.................................................407
6.8.1 Treatment ofthe Time Derivatives...................................................413
6.8.2 Spatial Derivatives...........................................................................414
6.9 Transonic Small-Disturbance Equations.......................................................420
6.10 Methods for Solving Laplace s Equation.......................................................423
Problems...................................................................................................................428
Chapter 7 Numerical Methods for Boundary-Layer-Type Equations.......................................433
7.1 Introduction...................................................................................................433
7.2 Brief Comparison of Prediction Methods.....................................................433
7.3 Finite-Difference Methods for Two-Dimensional or Axisymmetric
Steady External Flows...................................................................................434
7.3.1 Generalized Form of the Equations.................................................434
7.3.2 Example of a Simple Explicit Procedure.........................................436
7.3.2.1 Alternative Formulation for Explicit Method...................437
7.3.3 Crank-Nicolson and Fully Implicit Methods...................................438
7.3.3.1 Lagging the Coefficients...................................................440
7.3.3.2 Simple Iterative Update of Coefficients............................440
7.3.3.3 Use of Newton Linearization to Iteratively Update
Coefficients.......................................................................440
7.3.3.4 Newton Linearization with Coupling...............................442
7.3.3.5 Extrapolating the Coefficients..........................................444
7.3.3.6 Recommendation..............................................................445
7.3.3.7 Warning on Stability.........................................................445
7.3.3.8 Closing Comment on Crank-Nicolson and Fully
Implicit Methods...............................................................448
x Contents
7.3.4 DuFort-Frankel Method..................................................................448
7.3.5 Box Method......................................................................................450
7.3.6 Other Methods..................................................................................453
7.3.7 Coordinate Transformations for Boundary Layers..........................453
7.3.7.1 Analytical Transformation Approach...............................454
7.3.7.2 Generalized Coordinate Approach...................................455
7.3.8 Special Considerations for Turbulent Flows....................................457
7.3.8.1 Use of Wall Functions.......................................................457
7.3.8.2 Use of Unequal Grid Spacing...........................................458
7.3.8.3 Use of Coordinate Transformations..................................459
7.3.9 Example Applications......................................................................459
7.3.10 Closure.............................................................................................461
7.4 Inverse Methods, Separated Flows, and Viscous-Inviscid Interaction.........463
7.4.1 Introduction......................................................................................463
7.4.2 Comments on Computing Separated Flows Using
the Boundary-Layer Equations........................................................464
7.4.3 Inverse Finite-Difference Methods..................................................466
7.4.3.1 Inverse Method A.............................................................466
7.4.3.2 Inverse Method B..............................................................468
7.4.4 Viscous-Inviscid Interaction............................................................472
7.5 Methods for Internal Flows...........................................................................478
7.5.1 Introduction......................................................................................478
7.5.2 Coordinate Transformation for Internal Flows................................479
7.5.3 Computational Strategies for Internal Flows...................................480
7.5.3.1 Variable Secant Iteration..................................................482
7.5.3.2 Lagging the Pressure Adjustment.....................................483
7.5.3.3 Newton s Method..............................................................483
7.5.3.4 Treating the Pressure Gradient as a Dependent
Variable.........................................................................484
7.5.4 Additional Remarks..........................................................................487
7.6 Application to Free-Shear Flows...................................................................488
7.7 Three-Dimensional Boundary Layers...........................................................491
7.7.1 Introduction......................................................................................491
7.7.2 Equations..........................................................................................492
7.7.3 Comments on Solution Methods for Three-Dimensional Flows........497
7.7.3.1 Crank-Nicolson Scheme...................................................499
7.7.3.2 Krause Zigzag Scheme.....................................................500
7.7.3.3 Some Variations................................................................502
7.7.3.4 Inverse Methods and Viscous-Inviscid Interaction..........503
7.7.4 Example Calculations.......................................................................504
7.7.5 Additional Remarks..........................................................................505
7.8 Unsteady Boundary Layers...........................................................................506
Problems...................................................................................................................507
Chapter 8 Numerical Methods for the Parabolized Navier-Stokes Equations.....................513
8.1 Introduction...................................................................................................513
8.2 Thin-Layer Navier-Stokes Equations...........................................................516
8.3 Parabolized Navier-Stokes Equations.......................................................519
8.3.1 Derivation ofPNS Equations...........................................................520
Contents xi
8.3.2 Streamwise Pressure Gradient.........................................................528
8.3.2.1 Iterative PNS Methods......................................................533
8.3.2.2 Detecting Upstream Influence Regions............................534
8.3.3 Numerical Solution of PNS Equations.............................................535
8.3.3.1 Early Schemes..................................................................535
8.3.3.2 Beam-Warming Scheme..................................................536
8.3.3.3 Roe Scheme......................................................................546
8.3.3.4 Other Schemes..................................................................553
8.3.3.5 Advanced Schemes...........................................................553
8.3.4 Applications of PNS Equations........................................................554
8.4 Parabolized and Partially Parabolized Navier-Stokes Procedures
for Subsonic Flows........................................................................................556
8.4.1 Fully Parabolic Procedures..............................................................556
8.4.2 Parabolic Procedures for 3-D Free-Shear and Other Flows............562
8.4.3 Partially Parabolized (Multiple Space-Marching) Model................562
8.4.3.1 Pressure-Correction PPNS Schemes................................563
8.4.3.2 Coupled PPNS Schemes...................................................572
8.5 Viscous Shock-Layer Equations....................................................................577
8.6 Conical Navier-Stokes Equations..............................................................580
Problems...................................................................................................................584
Chapter 9 Numerical Methods for the Navier-Stokes Equations.............................................589
9.1 Introduction...................................................................................................589
9.2 Compressible Navier-Stokes Equations........................................................590
9.2.1 Explicit MacCormack Method.........................................................593
9.2.2 Other Explicit Methods....................................................................599
9.2.3 Beam-Warming Scheme..................................................................602
9.2.4 Other Implicit Methods....................................................................609
9.2.5 Upwind Methods..............................................................................613
9.2.6 Compressible Navier-Stokes Equations at Low Speeds..................614
9.3 Incompressible Navier-Stokes Equations.....................................................620
9.3.1 Vorticity-Stream Function Approach..............................................621
9.3.2 Primitive-Variable Approach............................................................630
9.3.2.1 General..............................................................................630
9.3.2.2 Coupled Approach: The Method of Artificial
Compressibility.................................................................632
9.3.2.3 Coupled Approach: Space Marching................................636
9.3.2.4 Pressure-Correction Approach: General..........................637
9.3.2.5 Pressure-Correction Approach: Marker-and-Cell
Method..............................................................................638
9.3.2.6 Pressure-Correction Approach: Projection
(Fractional-Step) Methods................................................640
9.3.2.7 Pressure-Correction Approach: SIMPLE Family
of Methods........................................................................641
9.3.2.8 Pressure-Correction Approach: SIMPLE
on Nonstaggered Grids.....................................................644
9.3.2.9 Pressure-Correction Approach: Pressure-Implicit
with Splitting of Operators (PISO) Method......................645
Problems...................................................................................................................646
xii Contents
Chapter 10 Grid Generation........................................................................................................649
10.1 Introduction...................................................................................................649
10.2 Algebraic Methods........................................................................................651
10.3 Differential Equation Methods......................................................................658
10.3.1 Elliptic Schemes...............................................................................658
10.3.2 Hyperbolic Schemes.........................................................................663
10.3.3 Parabolic Schemes............................................................................665
10.3.4 Deformation Method........................................................................667
10.4 Variational Methods......................................................................................669
10.5 Unstructured Grid Schemes..........................................................................670
10.5.1 Connectivity Information.................................................................671
10.5.2 Delaunay Triangulation....................................................................673
10.5.3 Bowyer Algorithm............................................................................674
10.6 Other Approaches..........................................................................................676
10.7 Adaptive Grids...............................................................................................678
Problems...................................................................................................................679
Appendix A: Subroutine for Solving a Tridiagonal System of Equations..............................683
Appendix B: Subroutines for Solving Block Tridiagonal Systems of Equations...................685
Appendix C: Modified Strongly Implicit Procedure................................................................693
Nomenclature...............................................................................................................................699
References.....................................................................................................................................705
Index..............................................................................................................................................741
|
| any_adam_object | 1 |
| author | Pletcher, Richard H. 1935- Tannehill, John C. 1943- Anderson, Dale A. 1936- |
| author_GND | (DE-588)1028087802 (DE-588)1028088728 (DE-588)1028089651 |
| author_facet | Pletcher, Richard H. 1935- Tannehill, John C. 1943- Anderson, Dale A. 1936- |
| author_role | aut aut aut |
| author_sort | Pletcher, Richard H. 1935- |
| author_variant | r h p rh rhp j c t jc jct d a a da daa |
| building | Verbundindex |
| bvnumber | BV040440986 |
| classification_rvk | UF 4000 |
| classification_tum | MTA 309f MAT 671f |
| ctrlnum | (OCoLC)815931168 (DE-599)OBVAC09360742 |
| dewey-full | 532.05015118 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
| dewey-raw | 532.05015118 |
| dewey-search | 532.05015118 |
| dewey-sort | 3532.05015118 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| edition | 3rd ed. |
| format | Book |
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| genre | (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Lehrbuch |
| id | DE-604.BV040440986 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T16:15:03Z |
| institution | BVB |
| isbn | 9781591690375 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025288818 |
| oclc_num | 815931168 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-703 DE-634 DE-1051 DE-573 DE-83 DE-1050 |
| owner_facet | DE-91G DE-BY-TUM DE-703 DE-634 DE-1051 DE-573 DE-83 DE-1050 |
| physical | XX, 753 S. graph. Darst. |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | CRC Press, Taylor & Francis |
| record_format | marc |
| series2 | Series in computational and physical processes in mechanics and thermal sciences |
| spellingShingle | Pletcher, Richard H. 1935- Tannehill, John C. 1943- Anderson, Dale A. 1936- Computational fluid mechanics and heat transfer Computermathematik (DE-588)4788218-9 gnd Wärmeübertragung (DE-588)4064211-2 gnd Finite-Differenzen-Methode (DE-588)4194626-1 gnd Differenzenverfahren (DE-588)4134362-1 gnd Strömungsmechanik (DE-588)4077970-1 gnd Numerische Strömungssimulation (DE-588)4690080-9 gnd Numerische Mathematik (DE-588)4042805-9 gnd |
| subject_GND | (DE-588)4788218-9 (DE-588)4064211-2 (DE-588)4194626-1 (DE-588)4134362-1 (DE-588)4077970-1 (DE-588)4690080-9 (DE-588)4042805-9 (DE-588)4123623-3 |
| title | Computational fluid mechanics and heat transfer |
| title_auth | Computational fluid mechanics and heat transfer |
| title_exact_search | Computational fluid mechanics and heat transfer |
| title_full | Computational fluid mechanics and heat transfer Richard H. Pletcher ; John C. Tannehill ; Dale A. Anderson |
| title_fullStr | Computational fluid mechanics and heat transfer Richard H. Pletcher ; John C. Tannehill ; Dale A. Anderson |
| title_full_unstemmed | Computational fluid mechanics and heat transfer Richard H. Pletcher ; John C. Tannehill ; Dale A. Anderson |
| title_short | Computational fluid mechanics and heat transfer |
| title_sort | computational fluid mechanics and heat transfer |
| topic | Computermathematik (DE-588)4788218-9 gnd Wärmeübertragung (DE-588)4064211-2 gnd Finite-Differenzen-Methode (DE-588)4194626-1 gnd Differenzenverfahren (DE-588)4134362-1 gnd Strömungsmechanik (DE-588)4077970-1 gnd Numerische Strömungssimulation (DE-588)4690080-9 gnd Numerische Mathematik (DE-588)4042805-9 gnd |
| topic_facet | Computermathematik Wärmeübertragung Finite-Differenzen-Methode Differenzenverfahren Strömungsmechanik Numerische Strömungssimulation Numerische Mathematik Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025288818&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT pletcherrichardh computationalfluidmechanicsandheattransfer AT tannehilljohnc computationalfluidmechanicsandheattransfer AT andersondalea computationalfluidmechanicsandheattransfer |
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| Signatur: |
0702 MTA 309f 2012 B 2770(3)
Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |
| Exemplar 2 | Ausleihbar Am Standort |