Computational fluid dynamics: an introduction
Saved in:
| Format: | Book |
|---|---|
| Language: | German |
| Published: |
Berlin [u.a.]
Springer
1996
|
| Edition: | 2. ed. |
| Series: | A von Karman Institute book
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | XII, 301 S. Ill., graph. Darst. |
| ISBN: | 354059471X |
Staff View
MARC
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| 245 | 1 | 0 | |a Computational fluid dynamics |b an introduction |c John F. Wendt (ed.). With contributions by J. D. Anderson ... |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1996 | |
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Record in the Search Index
| _version_ | 1804124730337263616 |
|---|---|
| adam_text | Contents
Part 1
1 Basic Philosophy of CFD 3
1.1 Motivation: An Example 3
1.2 Computational Fluid Dynamics: What is it? 5
1.3 The Role of Computational Fluid Dynamics in Modern Fluid Dynamics 6
1.4 The Role of This Course 13
2 Governing Equations of Fluid Dynamics 15
2.1 Introduction 15
2.2 Modelling of the Flow 15
2.3 The Substantial Derivative 16
2.4 Physical Meaning of V. V 22
2.5 The Continuity Equation 23
2.6 The Momentum Equation 27
2.7 The Energy Equation 33
2.8 Summary of the Governing Equations for Fluid Dynamics: With Comments 40
2.8.1 Equations for Viscous Flow 40
2.8.2 Equations for Inviscid Flow 42
2.8.3 Comments on the Governing Equations 43
2.8.4 Boundary Conditions 44
2.9 Forms of the Governing Equations Particularly Suited for CFD: Comments on the
Conservation Form 45
3 Incompressible Inviscid Flows: source and vortex panel methods 52
3.1 Introduction 52
3.2 Some Basic Aspects of Incompressible, Inviscid Flow 52
3.2.1 Uniform Flow 53
3.2.2 Source Flow 54
3.2.3 Vortex Flow 54
3.3 Non lifting Flows Over Arbitrary Two Dimensional Bodies: The Source
Panel Method 55
3.4 Lifting Flows over Arbitrary Two Dimensional Bodies: The Vortex
Panel Method 64
3.5 An Application—the Aerodynamics of Drooped Leading Edge Wings Below and
Above Stall 71
4 Mathematical Properties of the Fluid Dynamic Equations 75
4.1 Introduction 75
4.2 Classification of Partial Differential Equations 75
4.3 General Behaviour of the Different Classes of Partial Differential Equations
and their Relation to Fluid Dynamics 79
4.3.1 Hyperbolic Equations 79
4.3.2 Parabolic Equations 80
4.3.3 Elliptic Equations 82
4.3.4 Some Comments 83
4.3.5 Well Posed Problems 84
X Contents
5 Discretization of Partial Differential Equations 85
5.1 Introduction 85
5.2 Derivation of Elementary Finite Difference Quotients 86
5.3 Basic Aspects of Finite Difference Equations 92
5.4 Errors and Analysis of Stability 95
6 Transformations and Grids 101
6.1 Introduction 101
6.2 General Transformation of the Equations 103
6.3 Metrics and Jacobians 107
6.4 Coordinate Stretching 109
6.5 Boundary Fitted Coordinate Systems 113
6.6 Adaptive Grids 118
7 Explicit Finite Difference Methods: Some Selected Applications to Inviscid
and Viscous Flows 123
7.1 Introduction 123
7.2 The Lax Wendroff Method 124
7.3 MacCormack s Method 128
7.4 Stability Criterion 131
7.5 Selected Applications of the Explicit Time Dependent Technique 132
7.5.1 Non equilibrium Nozzle Flows 132
7.5.2 Flow Field Over a Supersonic Blunt Body 135
7.5.3 Internal Combustion Engine Flows 137
7.5.4 Supersonic Viscous Flows Over a Rearward Facing Step With Hydrogen
Injection 140
7.5.5 Supersonic Viscous Flow Over a Base 142
7.5.6 Compressible Viscous Flow Over an Airfoil 143
7.6 Final Comment 145
7.7 References (for Chapters 1 7) 145
Part 2
8 Boundary Layer Equations and Methods of Solution 151
8.1 Introduction 151
8.2 Description of Prandtl s Boundary Layer Equations 152
8.3 Hierarchy of the Boundary Layer Equations 156
8.4 Transformation of the Boundary Layer Equations 160
8.5 Numerical Solution Method 162
8.5.1 Choice of Discretization Model 162
8.5.2 Generalized Crank Nicholson Scheme 164
8.5.3 Discretization of the Boundary Layer Equation 166
8.5.4 Solution of a Tridiagonal System of Linear Algebraic Equations 170
8.6 Sample Calculations 172
8.6.1 Three dimensional Boundary Layer Calculation Along Lines
of Symmetry 172
8.6.2 Geometrical Conditions 173
8.6.3 Fluid Mechanical Equations 174
8.6.4 Boundary Conditions 175
8.6.5 Solution Scheme 176
8.6.6 Numerical Results 177
8.7 References 178
9. Implicit Time Dependent Methods for Inviscid and Viscous Compressible Flows,
With a Discussion of the Concept of Numerical Dissipation 180
Introduction 180
9.1 Solution Techniques for Simpler Flows and Reason of their Failure for Euler/Navier Stokes
Equations 182
9.1.1 Solution Strategies for Simple Flow Problems 182
Contents XI
9.1.1.1 Subsonic Flow (Moc = 0) 182
9.1.1.2 Supersonic Flow (Mx = s/l) 184
9.1.1.3 Ill posed Problems 186
9.1.2 More Complex Problems 186
9.1.3 A Solution: The Time dependent Approach 188
9.2 Respective Stability Properties of Explicit and Implicit Methods 190
9.2.1 Stability of the Numerical Methods for the Integration of Ordinary Differential
Equations 190
9.2.1.1 Definition Examples 190
9.2.1.2 Weak Instability 192
9.2.1.3 Region of (Absolute) Stability 193
9.2.1.4 Stiff Problems 194
9.2.1.5 Absolute Stability 195
9.2.2 Stability of Numerical Methods for the Integration of Partial Differential
Equations 196
9.3 Construction of Implicit Methods for Time dependent Problems 198
9.3.1 An Essential Ingredient: Linearization 198
9.3.2 Choice of the Explicit Operator: Central Versus Upwind 200
9.3.2.1 Numerical Dissipation, What It Is and Why It Is Needed 200
9.3.2.2 Dissipation for Steady State Problems — Control of Steady Oscillations . . . 207
9.3.2.3 Dissipation for Scalar Problems — Summary 211
9.3.2.4 Extension to Systems of Conservation Laws 212
9.3.2.5 Concluding Remarks 217
9.3.3 Choice of the Implicit Operator 218
9.3.4 Choice of the Linear System Solution Strategy 220
9.3.4.1 ID Problems 220
9.3.4.2 2D Problems 221
9.4 Conclusions 226
9.5 References 227
10. Introduction to Finite Element Techniques in Computational Fluid Dynamics .... 230
10.1 Introduction 230
10.2 Strong and Weak Formulations of a Boundary Value Problem 232
10.2.1 Strong Formulation 232
10.2.2 Weighted Residual Formulation 235
10.2.3 Galerkin Formulation 236
10.2.4 Weak Formulation 237
10.2.5 Variational Formulation 239
10.2.6 Conclusion 239
10.3 Piecewise Defined Shape Functions 240
10.3.1 The Finite Element Interpolation 240
10.3.2 Finite Elements with Co Continuity in Two dimensions 244
10.3.2.1 Triangular Elements 244
10.3.2.2 Quadrilateral Lagrange Elements 248
10.3.2.3 Quadrilateral Serendipity Elements 248
10.3.2.4 Isoparametric Elements 249
10.3.3 Finite Elements with C] Continuity 250
10.4 Implementation of the Finite Element Method 251
10.4.1 The Assembly , 251
10.4.2 Numerical Integration 252
10.4.3 Solution Procedure 253
10.5 Examples 253
10.5.1 Steady Incompressible Potential Flow 254
10.5.2 Incompressible Navier Stokes Equations in u ifi Formulation 256
10.5.3 Incompressible Steady Navier Stokes Equations in u. v. p Formulation 262
10.5.4 Compressible Euler Equations 265
10.6 Current Evolutions 266
10.7 References 267
XII Contents
11. Introduction to Finite Element Techniques in Computational Fluid Dynamics .... 269
11.1 Introduction 269
11.2 FEM like Finite Volume Techniques 273
11.2.1 Cell centred Formulation 274
11.2.1.1 Lax Wendroff Time Stepping 275
11.2.1.2 Runge Kutta Time Stepping—Multi stage Time Stepping 280
11.2.1.3 Accuracy 285
11.2.2 Cell vertex Formulation 285
11.2.2.1 Multi stage Time Stepping—Overlapping Control Volumes 285
11.2.2.2 Lax Wendroff Time Stepping—Non overlapping Control Volumes 287
11.3 FDM like Finite Volume Techniques 288
11.3.1 Central Type Discretization 289
11.3.2 Upwind Type Discretization 289
11.4 Other Formulations 294
11.5 Treatment of Derivatives 295
11.6 References 296
Subject Index 299
|
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| callnumber-search | TA357C5877 1996 |
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| callnumber-subject | TA - General and Civil Engineering |
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| dewey-search | 620.106 0285 |
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| discipline | Physik Mathematik |
| edition | 2. ed. |
| format | Book |
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| indexdate | 2024-07-09T17:50:18Z |
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| isbn | 354059471X |
| language | German |
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| physical | XII, 301 S. Ill., graph. Darst. |
| publishDate | 1996 |
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| series2 | A von Karman Institute book |
| spelling | Computational fluid dynamics an introduction John F. Wendt (ed.). With contributions by J. D. Anderson ... 2. ed. Berlin [u.a.] Springer 1996 XII, 301 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier A von Karman Institute book Literaturangaben Analyse numérique - Congrès ram Analyse numérique matricielle Fluides, Dynamique des - Simulation par ordinateur - Congrès ram Hydrodynamik (DE-588)4026302-2 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Numerische Strömungssimulation (DE-588)4690080-9 gnd rswk-swf Hydrodynamik (DE-588)4026302-2 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Strömungsmechanik (DE-588)4077970-1 s Numerische Strömungssimulation (DE-588)4690080-9 s 1\p DE-604 Wendt, John F. Sonstige oth Anderson, John David 1937- Sonstige (DE-588)129741507 oth Institut von Karman de Dynamique des Fluides (Sint-Genesius-Rode) Sonstige (DE-588)2040811-0 oth HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006861127&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Computational fluid dynamics an introduction Analyse numérique - Congrès ram Analyse numérique matricielle Fluides, Dynamique des - Simulation par ordinateur - Congrès ram Hydrodynamik (DE-588)4026302-2 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Strömungsmechanik (DE-588)4077970-1 gnd Numerische Strömungssimulation (DE-588)4690080-9 gnd |
| subject_GND | (DE-588)4026302-2 (DE-588)4128130-5 (DE-588)4077970-1 (DE-588)4690080-9 |
| title | Computational fluid dynamics an introduction |
| title_auth | Computational fluid dynamics an introduction |
| title_exact_search | Computational fluid dynamics an introduction |
| title_full | Computational fluid dynamics an introduction John F. Wendt (ed.). With contributions by J. D. Anderson ... |
| title_fullStr | Computational fluid dynamics an introduction John F. Wendt (ed.). With contributions by J. D. Anderson ... |
| title_full_unstemmed | Computational fluid dynamics an introduction John F. Wendt (ed.). With contributions by J. D. Anderson ... |
| title_short | Computational fluid dynamics |
| title_sort | computational fluid dynamics an introduction |
| title_sub | an introduction |
| topic | Analyse numérique - Congrès ram Analyse numérique matricielle Fluides, Dynamique des - Simulation par ordinateur - Congrès ram Hydrodynamik (DE-588)4026302-2 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Strömungsmechanik (DE-588)4077970-1 gnd Numerische Strömungssimulation (DE-588)4690080-9 gnd |
| topic_facet | Analyse numérique - Congrès Analyse numérique matricielle Fluides, Dynamique des - Simulation par ordinateur - Congrès Hydrodynamik Numerisches Verfahren Strömungsmechanik Numerische Strömungssimulation |
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