Mathematical models of fluid dynamics: modelling, theory, basic numerical facts - an introduction
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Weinheim [u.a.]
Wiley-VCH
2009
|
| Ausgabe: | 2., updated ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XV, 227 S. Ill., graph. Darst. |
| ISBN: | 9783527407743 |
Internformat
MARC
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Datensatz im Suchindex
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|---|---|
| adam_text |
VII CONTENTS PREFACE TO THE SECOND EDITION XI PREFACE TO THE FIRST
EDITION XIII 1 IDEAL FLUIDS 1 1.1 MODELING BY EULER'S EQUATIONS 1 1.2
CHARACTERISTICS AND SINGULARITIES 10 1.3 POTENTIAL FLOWS AND (DYNAMIC)
BUOYANCY 14 1.4 MOTIONLESS FLUIDS AND SOUND PROPAGATION 29 2 WEAK
SOLUTIONS OF CONSERVATION LAWS 33 2.1 GENERALIZATION OF WHAT WILL BE
CALLED A SOLUTION 33 2.2 TRAFIK FLOW EXAMPLE WITH LOSS OF UNIQUENESS 37
2.3 THE RANKINE-HUGONIOT CONDITION 42 3 ENTROPY CONDITIONS 49 3.1
ENTROPY IN THE CASE OF AN IDEAL FLUID 49 3.2 GENERALIZATION OF THE
ENTROPY CONDITION 53 3.3 UNIQUENESS OF ENTROPY SOLUTIONS 59 3.4
KRUZKOV'S ANSATZ 69 4 THE RIEMANN PROBLEM 73 4.1 NUMERICAL IMPORTANCE OF
THE RIEMANN PROBLEM 73 4.2 THE RIEMANN PROBLEM FOR LINEAR SYSTEMS 75 4.3
THE AW-RASDE TRAFFIC FLOW MODEL 77 5 REAL FLUIDS 79 BIBLIOGRAFISCHE
INFORMATIONEN HTTP://D-NB.INFO/990519171 DIGITALISIERT DURCH VIII
CONTENTS 5.6 HEATED REAL GAS FLOWS 104 5.7 TUNNEL FIRES 106 6 PROVING
THE EXISTENCE OF ENTROPY SOLUTIONS BY DISCRETIZATION PROCEDURES 113 6.1
SOME HISTORICAL REMARKS 113 6.2 REDUCTIONTO PROPERTIES OF OPERATOR
SEQUENCES 114 6.3 CONVERGENCE THEOREMS 2 27 6.4 EXAMPLE 120 7 TYPESOF
DISCRETIZATION PRINCIPLES 127 7.1 SOME GENERAL REMARKS 227 7.2 FINITE
DIFFERENCE CALCULUS 132 7.3 THE CFL CONDITION 135 7.4
LAX-RICHTMYERTHEORY 236 7.5 THE VON NEUMANN STABILITY CRITERION 241 7.6
THE MODIFIED EQUATION 244 7.7 DIFFERENCE SCHEMES IN CONSERVATION FORM
246 7.8 THE FINITE VOLUME METHOD ON UNSTRUCTURED GRIDS 248 7.9
CONTINUOUS CONVERGENCE OF RELATIONS 252 8 A CLOSER LOOK AT DISCRETE
MODELS 255 8.1 THE VISCOSIRY FORM 255 8.2 THE INCREMENTAL FORM 256 8.3
RELATIONS 158 8.4 GODUNOV IS JUST GOOD ENOUGH 259 8.5 THE LAX-FRIEDRICHS
SCHEINE 264 8.6 AGLIMPSEOF GAS DYNAMICS 268 8.7 ELEMENTARY WAVES 272 8.8
THE COMPLETE SOLUTION TO THE RIEMANN PROBLEM 178 8.9 THE GODUNOV SCHEME
IN GAS DYNAMICS 284 9 DISCRETE MODELS ON CURVILINEAR CRIDS 287 9.
CONTENTS I IX 10.5 REMARKS CONCERNING NON-POLYNOMIAL RECOVERY 216 10.6
REMARKS CONCERNING GRID GENERATION 228 INDEX 222 SUGGESTED READING 227 |
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| author | Ansorge, Rainer 1931- Sonar, Thomas 1958- |
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| callnumber-first | Q - Science |
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| callnumber-subject | QA - Mathematics |
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| ctrlnum | (OCoLC)315064856 (DE-599)BVBBV035448086 |
| dewey-full | 532.5015118 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
| dewey-raw | 532.5015118 |
| dewey-search | 532.5015118 |
| dewey-sort | 3532.5015118 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| edition | 2., updated ed. |
| format | Book |
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| indexdate | 2024-07-20T10:08:20Z |
| institution | BVB |
| isbn | 9783527407743 |
| language | English |
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| physical | XV, 227 S. Ill., graph. Darst. |
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| spelling | Ansorge, Rainer 1931- Verfasser (DE-588)117764191 aut Mathematical models of fluid dynamics modelling, theory, basic numerical facts - an introduction Rainer Ansorge and Thomas Sonar Mathematical models of fluid dynamics 2., updated ed. Weinheim [u.a.] Wiley-VCH 2009 XV, 227 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Strömungsmechanik - Mathematisches Modell - Lehrbuch Mathematisches Modell Fluid dynamics Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Sonar, Thomas 1958- Verfasser (DE-588)115749683 aut text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3159205&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017368202&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ansorge, Rainer 1931- Sonar, Thomas 1958- Mathematical models of fluid dynamics modelling, theory, basic numerical facts - an introduction Strömungsmechanik - Mathematisches Modell - Lehrbuch Mathematisches Modell Fluid dynamics Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| subject_GND | (DE-588)4114528-8 (DE-588)4077970-1 |
| title | Mathematical models of fluid dynamics modelling, theory, basic numerical facts - an introduction |
| title_alt | Mathematical models of fluid dynamics |
| title_auth | Mathematical models of fluid dynamics modelling, theory, basic numerical facts - an introduction |
| title_exact_search | Mathematical models of fluid dynamics modelling, theory, basic numerical facts - an introduction |
| title_full | Mathematical models of fluid dynamics modelling, theory, basic numerical facts - an introduction Rainer Ansorge and Thomas Sonar |
| title_fullStr | Mathematical models of fluid dynamics modelling, theory, basic numerical facts - an introduction Rainer Ansorge and Thomas Sonar |
| title_full_unstemmed | Mathematical models of fluid dynamics modelling, theory, basic numerical facts - an introduction Rainer Ansorge and Thomas Sonar |
| title_short | Mathematical models of fluid dynamics |
| title_sort | mathematical models of fluid dynamics modelling theory basic numerical facts an introduction |
| title_sub | modelling, theory, basic numerical facts - an introduction |
| topic | Strömungsmechanik - Mathematisches Modell - Lehrbuch Mathematisches Modell Fluid dynamics Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| topic_facet | Strömungsmechanik - Mathematisches Modell - Lehrbuch Mathematisches Modell Fluid dynamics Mathematical models Strömungsmechanik |
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