Mathematical models of fluid dynamics: modelling, theory, basic numerical facts - an introduction
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Weinheim [u.a.]
Wiley-VCH
2003
|
| Subjects: | |
| Online Access: | Table of contents Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references (p. [181]-182) and index |
| Physical Description: | 187 S. Ill., graph. Darst. |
| ISBN: | 3527403973 |
Staff View
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| 245 | 1 | 0 | |a Mathematical models of fluid dynamics |b modelling, theory, basic numerical facts - an introduction |c Rainer Ansorge |
| 246 | 1 | 3 | |a Mathematical models of fluid dynamics |
| 264 | 1 | |a Weinheim [u.a.] |b Wiley-VCH |c 2003 | |
| 300 | |a 187 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references (p. [181]-182) and index | ||
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Fluid dynamics |x Mathematical models | |
| 650 | 0 | 7 | |a Mathematisches Modell |0 (DE-588)4114528-8 |2 gnd |9 rswk-swf |
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Record in the Search Index
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|---|---|
| adam_text |
CONTENTS
PREFACE
7
1
IDEAL
FLUIDS
13
1.1
MODELLING
BY
EULER
'
S
EQUATIONS
.
13
1.2
CHARACTERISTICS
AND
SINGULARITIES
.
24
1.3
POTENTIAL
FLOWS
AND
(DYNAMIC)
BUOYANCY
.
30
1.4
MOTIONLESS
FLUIDS
AND
SOUND
PROPAGATION
.
47
2
WEAK
SOLUTIONS
OF
CONSERVATION
LAWS
51
2.1
GENERALIZATION
OF
WHAT
WILL
BE
CALLED
A
SOLUTION
.
51
2.2
TRAFFIC
FLOW
EXAMPLE
WITH
LOSS
OF
UNIQUENESS
.
56
2.3
THE
RANKINE-HUGONIOT
CONDITION
.
62
3
ENTROPY
CONDITIONS
69
3.1
ENTROPY
IN
CASE
OF
IDEAL
FLUIDS
.
69
3.2
GENERALIZATION
OF
THE
ENTROPY
CONDITION
.
74
3.3
UNIQUENESS
OF
ENTROPY
SOLUTIONS
.
80
3.4
THE
ANSATZ
DUE
TO
KRUZKOV
.
92
4
THE
RIEMANN
PROBLEM
97
4.1
NUMERICAL
IMPORTANCE
OF
THE
RIEMANN
PROBLEM
.
97
4.2
THE
RIEMANN
PROBLEM
IN
THE
CASE
OF
LINEAR
SYSTEMS
.
99
5
REAL
FLUIDS
103
5.1
THE
NAVIER-STOKES
EQUATIONS
MODEL
.
103
5.2
DRAG
FORCE
AND
THE
HAGEN-POISEUILLE
LAW
.
ILL
5.3
STOKES
APPROXIMATION
AND
ARTIFICIAL
TIME
.
116
5.4
FOUNDATIONS
OF
THE
BOUNDARY
LAYER
THEORY;
FLOW
SEPARATION
.
122
5.5
STABILITY
OF
LAMINAR
FLOWS
.
131
12
CONTENTS
6
EXISTENCE
PROOF
FOR
ENTROPY
SOLUTIONS
BY
MEANS
OF
DISCRETIZATION
PROCEDURES
135
6.1
SOME
HISTORICAL
REMARKS
.
135
6.2
REDUCTION
TO
PROPERTIES
OF
OPERATOR
SEQUENCES
.
136
6.3
CONVERGENCE
THEOREMS
.
140
6.4
EXAMPLE
.
143
7
TYPES
OF
DISCRETIZATION
PRINCIPLES
151
7.1
SOME
GENERAL
REMARKS
.
151
7.2
THE
FINITE
DIFFERENCE
CALCULUS
.
156
7.3
THE
CFL
CONDITION
.
160
7.4
LAX-RICHTMYER
THEORY
.
;
.
.
.
162
7.5
THE
VON
NEUMANN
STABILITY
CRITERION
.
168
7.6
THE
MODIFIED
EQUATION
.
171
7.7
DIFFERENCE
SCHEMES
IN
CONSERVATION
FORM
.
173
7.8
THE
FINITE
VOLUME
METHOD
ON
UNSTRUCTURED
GRIDS
.
176
SOME
EXTENSIVE
MONOGRAPHS
181
INDEX
183 |
| any_adam_object | 1 |
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| ctrlnum | (OCoLC)248768822 (DE-599)BVBBV017468214 |
| dewey-full | 532/.05/015118 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
| dewey-raw | 532/.05/015118 |
| dewey-search | 532/.05/015118 |
| dewey-sort | 3532 15 515118 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV017468214 |
| illustrated | Illustrated |
| indexdate | 2024-08-23T00:26:52Z |
| institution | BVB |
| isbn | 3527403973 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010522802 |
| oclc_num | 248768822 |
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| owner_facet | DE-703 DE-19 DE-BY-UBM DE-1046 DE-526 DE-634 DE-83 |
| physical | 187 S. Ill., graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Wiley-VCH |
| record_format | marc |
| spelling | Ansorge, Rainer 1931- Verfasser (DE-588)117764191 aut Mathematical models of fluid dynamics modelling, theory, basic numerical facts - an introduction Rainer Ansorge Mathematical models of fluid dynamics Weinheim [u.a.] Wiley-VCH 2003 187 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references (p. [181]-182) and index 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 http://www.loc.gov/catdir/toc/wiley032/2003270131.html Table of contents DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010522802&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ansorge, Rainer 1931- Mathematical models of fluid dynamics modelling, theory, basic numerical facts - an introduction 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 |
| title_fullStr | Mathematical models of fluid dynamics modelling, theory, basic numerical facts - an introduction Rainer Ansorge |
| title_full_unstemmed | Mathematical models of fluid dynamics modelling, theory, basic numerical facts - an introduction Rainer Ansorge |
| 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 | Mathematisches Modell Fluid dynamics Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| topic_facet | Mathematisches Modell Fluid dynamics Mathematical models Strömungsmechanik |
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