Mathematical methods in fluid dynamics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Harlow u.a.
Longman
1993
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Pitman monographs and surveys in pure and applied mathematics
67 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII, 657 S. Ill., graph. Darst. |
| ISBN: | 0582209889 |
Internformat
MARC
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| 100 | 1 | |a Feistauer, Miloslav |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Mathematical methods in fluid dynamics |c M. Feistauer |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Harlow u.a. |b Longman |c 1993 | |
| 300 | |a XIII, 657 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a Pitman monographs and surveys in pure and applied mathematics |v 67 | |
| 650 | 7 | |a Fluides, dynamique des |2 ram | |
| 650 | 7 | |a dynamique fluide |2 inriac | |
| 650 | 7 | |a viscosité |2 inriac | |
| 650 | 7 | |a écoulement incompressible |2 inriac | |
| 650 | 7 | |a équation Euler |2 inriac | |
| 650 | 4 | |a Fluid dynamics | |
| 650 | 0 | 7 | |a Numerische Mathematik |0 (DE-588)4042805-9 |2 gnd |9 rswk-swf |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-005416011 | ||
Datensatz im Suchindex
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|---|---|
| adam_text | CONTENTS
Preface xi
Introduction 1
Chapter 1
QUANTITIES AND EQUATIONS DESCRIBING THE FLOW 5
1.1 Fundamental Conceptions about Fluids 5
1.2 Some Mathematical Concepts and Notation 10
1.3 Kinematics of Fluids 18
1.4 The Transport Theorem 26
1.5 The Continuity Equation 30
1.6 The Equations of Motion 32
1.7 Stress Tensor 36
1.8 The Navier-Stokes Equations 43
1.9 The Energy Equation 51
1.10 Small Excursion into Thermodynamics 54
1.11 Boundary and Initial Conditions 64
1.12 Transformation of Cartesian Coordinates 66
1.13 Curvilinear Coordinates 70
Chapter 2
IRROTATIONAL INCOMPRESSIBLE FLOW 77
2.1 Basic Properties of Irrotational Flow 78
2.2 Plane Potential Flow 88
2.3 Method of Integral Equations 116
2.4 Stream Function 132
2.5 Properties of the Problem for the Stream Function 140
2.6 Finite Difference Method 145
vii
viii
2.7 Sobolev Spaces 163
2.8 Variational Formulation and Weak Solutions
of Boundary Value Problems 169
2.9 Finite Element Method 174
Chapter 3
MODELS OF COMPRESSIBLE AND ROTATIONAL INVISCID FLOW .... 187
3.1 Basic Equations and Relations 187
3.2 Irrotational Homoentropic Flow 190
3.3 Rotational Flow 201
3.4 Flow past Cascades of Profiles 207
Chapter 4
MATHEMATICAL THEORY AND NUMERICAL SOLUTION
OF INVISCID FLOW 219
4.1 Flow in a Channel and past Profiles 220
4.2 Flow past a Cascade of Profiles 234
4.3 Finite Element Approximation of the Cascade Flow 239
4.4 The Finite Element Solution of a Channel Flow 252
4.5 Numerical Realization of the FEM 257
Chapter 5
PROBLEMS WITH TRAILING CONDITIONS 269
5.1 Formulation of the Problem and Auxiliary Assertions 270
5.2 Linearized Problem 272
5.3 Solvability of the Nonlinear Problem 281
5.4 Applications 284
5.5 Irrotational Compressible Flow past Profiles 286
5.6 Finite Difference Solution 294
5.7 Finite Element Method for Problems with Trailing Conditions 303
Chapter 6
STATIONARY INVISCID TRANSONIC FLOW 315
6.1 Basic Properties of Transonic Flow 316
6.2 Potential Flow 327
ix
6.3 Some Properties of the Velocity Potential Problem 333
6.4 Entropy Compactification of Transonic Flow 341
6.5 Numerical Modelling of Transonic Potential Flow 358
Chapter 7
THE EULER EQUATIONS AND NONLINEAR HYPERBOLIC SYSTEMS .. 383
7.1 Properties of Nonlinear Hyperbolic Systems 384
7.2 Numerical Solution of Hyperbolic Equations in One Space Dimension .... 413
7.3 Numerical Solution of the Multidimensional Euler Equations 451
7.4 Measure-Valued Solutions to Conservation Laws 477
Chapter 8
MATHEMATICAL THEORY AND NUMERICAL SOLUTION
OF VISCOUS FLOW 499
8.1 Function Spaces and Auxiliary Results 500
8.2 Functions with Values in Banach Spaces 505
8.3 The Stationary Stokes Problem 509
8.4 The Stationary Navier-Stokes Equations 514
8.5 The Oseen Problem 525
8.6 The Nonstationary Navier-Stokes Equations 527
8.7 Solvability of the Nonstationary Problem 538
8.8 Finite Difference Solution of Viscous Flow 554
8.9 Finite Element Method for Navier-Stokes Problems 571
8.10 Several Remarks on Modelling of Viscous Flow 600
Chapter 9
APPENDIX 615
Some Concepts and Results of Functional Analysis
9.1 Normed Linear Spaces 615
9.2 Continuous Linear Mappings 618
9.3 Solution of Nonlinear Operator Equations 621
REFERENCES 623
INDEX 649
|
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| author | Feistauer, Miloslav |
| author_facet | Feistauer, Miloslav |
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| author_sort | Feistauer, Miloslav |
| author_variant | m f mf |
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| dewey-ones | 532 - Fluid mechanics |
| dewey-raw | 532/.05 |
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| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| edition | 1. publ. |
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| indexdate | 2024-07-09T17:16:19Z |
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| isbn | 0582209889 |
| language | English |
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| physical | XIII, 657 S. Ill., graph. Darst. |
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| spelling | Feistauer, Miloslav Verfasser aut Mathematical methods in fluid dynamics M. Feistauer 1. publ. Harlow u.a. Longman 1993 XIII, 657 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Pitman monographs and surveys in pure and applied mathematics 67 Fluides, dynamique des ram dynamique fluide inriac viscosité inriac écoulement incompressible inriac équation Euler inriac Fluid dynamics Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 s Numerische Mathematik (DE-588)4042805-9 s DE-604 Mathematische Physik (DE-588)4037952-8 s Mathematische Methode (DE-588)4155620-3 s DE-188 Pitman monographs and surveys in pure and applied mathematics 67 (DE-604)BV000022446 67 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005416011&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Feistauer, Miloslav Mathematical methods in fluid dynamics Pitman monographs and surveys in pure and applied mathematics Fluides, dynamique des ram dynamique fluide inriac viscosité inriac écoulement incompressible inriac équation Euler inriac Fluid dynamics Numerische Mathematik (DE-588)4042805-9 gnd Mathematische Methode (DE-588)4155620-3 gnd Strömungsmechanik (DE-588)4077970-1 gnd Mathematische Physik (DE-588)4037952-8 gnd |
| subject_GND | (DE-588)4042805-9 (DE-588)4155620-3 (DE-588)4077970-1 (DE-588)4037952-8 |
| title | Mathematical methods in fluid dynamics |
| title_auth | Mathematical methods in fluid dynamics |
| title_exact_search | Mathematical methods in fluid dynamics |
| title_full | Mathematical methods in fluid dynamics M. Feistauer |
| title_fullStr | Mathematical methods in fluid dynamics M. Feistauer |
| title_full_unstemmed | Mathematical methods in fluid dynamics M. Feistauer |
| title_short | Mathematical methods in fluid dynamics |
| title_sort | mathematical methods in fluid dynamics |
| topic | Fluides, dynamique des ram dynamique fluide inriac viscosité inriac écoulement incompressible inriac équation Euler inriac Fluid dynamics Numerische Mathematik (DE-588)4042805-9 gnd Mathematische Methode (DE-588)4155620-3 gnd Strömungsmechanik (DE-588)4077970-1 gnd Mathematische Physik (DE-588)4037952-8 gnd |
| topic_facet | Fluides, dynamique des dynamique fluide viscosité écoulement incompressible équation Euler Fluid dynamics Numerische Mathematik Mathematische Methode Strömungsmechanik Mathematische Physik |
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