The finite volume particle method: a meshless projection method for incompressible flow
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Aachen
Shaker
2002
|
| Series: | Berichte aus der Mathematik
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Zugl.: Kaiserslautern, Univ., Diss., 2002 |
| Physical Description: | 118 S. graph. Darst. : 21 cm |
| ISBN: | 3832207708 |
Staff View
MARC
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| 100 | 1 | |a Keck, Rainer L. O. |d 1972- |e Verfasser |0 (DE-588)124256872 |4 aut | |
| 245 | 1 | 0 | |a The finite volume particle method |b a meshless projection method for incompressible flow |c Rainer L. O. Keck |
| 264 | 1 | |a Aachen |b Shaker |c 2002 | |
| 300 | |a 118 S. |b graph. Darst. : 21 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Berichte aus der Mathematik | |
| 500 | |a Zugl.: Kaiserslautern, Univ., Diss., 2002 | ||
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Record in the Search Index
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|---|---|
| adam_text |
TABLE
OF
CONTENTS
TABLE
OF
CONTENTS
9
INTRODUCTION
AND
OUTLINE
11
1
MATHEMATICAL
MODELS
FOR
FLUID
FLOW
15
1.1
CONSERVATION
LAWS
.
15
1.2
THERMODYNAMICS
-
COMPRESSIBLE
FLOW
.
19
1.3
INCOMPRESSIBLE
FLOW
.
21
2
NUMERICAL
METHODS
FOR
INCOMPRESSIBLE
FLOW
31
2.1
SPECIFIC
PROBLEMS
IN
INCOMPRESSIBLE
FLOW
.
31
2.2
ARTIFICIAL
COMPRESSIBILITY
.
32
2.3
QUASI
INCOMPRESSIBILITY
.
32
2.4
STREAM
FUNCTION
VORTICITY
FORMULATION
.
34
2.5
VORTEX
METHOD
.
34
2.6
PROJECTION
METHOD
.
35
2.7
DIFFERENTIAL-ALGEBRAIC
EQUATIONS
.
38
3
FINITE
VOLUME
PARTICLE
METHOD
FOR
COMPRESSIBLE
FLOW
41
3.1
INTRODUCTION
.
41
3.2
DERIVATION
OF
THE
SCHEME
.
42
3.3
PROPERTIES
OF
THE
COEFFICIENTS
.
47
3.4
PROPERTIES
OF
THE
SCHEME
.
49
3.5
COMPUTATION
OF
THE
COEFFICIENTS
.
51
3.6
SIMILARITIES
TO
THE
FINITE
VOLUME
METHOD
.
51
3.7
ADAPTIVE
STRATEGIES
.
54
3.8
COUPLING
WITH
THE
FINITE
VOLUME
METHOD
.
56
4
CONSISTENCY
ANALYSIS
OF
THE
FINITE
VOLUME
PARTICLE
METHOD
59
4.1
BASIC
INTEGRAL
APPROXIMATION
.
59
4.2
VOLUME-COEFFICIENT
COUPLING
.
61
4.3
DISCRETE
GRADIENT
OPERATOR
.
62
4.4
DISCRETE
LAPLACE
OPERATOR
.
66
4.5
NUMERICAL
ENFORCEMENT
OF
CONSISTENCY
CONDITIONS
.
68
10
TABLE
OF
CONTENTS
5
FINITE
VOLUME
PARTICLE
METHOD
FOR
INCOMPRESSIBLE
FLOW
73
5.1
REVIEW
OF
THE
PROJECTION
TECHNIQUE
.
73
5.2
AUXILIARY
SYSTEM
.
74
5.3
POISSON
EQUATION
FOR
THE
PRESSURE
.
74
5.4
PROJECTION
.
76
5.5
IMPLEMENTATION
OF
BOUNDARY
CONDITIONS
.
.
77
6
NUMERICAL
INVESTIGATIONS
79
6.1
COMPRESSIBLE
FLOW
.
79
6.2
COEFFICIENT-CORRECTION
METHOD
.
86
6.3
CONSISTENCY
INVESTIGATIONS
.
89
6.4
POISSON
EQUATION
.
90
6.5
INCOMPRESSIBLE
FLOW
.
92
6.6
COMPUTATIONAL
EXPENSES
.
104
7
EVALUATION
109
7.1
SCIENTIFIC
ADVANCEMENTS
.
109
7.2
FURTHER
DEVELOPMENTS
.
110
7.3
CONCLUSION
.
ILL
NOMENCLATURE
113
BIBLIOGRAPHY
115 |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV016416860 |
| illustrated | Illustrated |
| indexdate | 2024-08-22T00:25:56Z |
| institution | BVB |
| isbn | 3832207708 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010152299 |
| oclc_num | 52911056 |
| open_access_boolean | |
| owner | DE-29T |
| owner_facet | DE-29T |
| physical | 118 S. graph. Darst. : 21 cm |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Shaker |
| record_format | marc |
| series2 | Berichte aus der Mathematik |
| spelling | Keck, Rainer L. O. 1972- Verfasser (DE-588)124256872 aut The finite volume particle method a meshless projection method for incompressible flow Rainer L. O. Keck Aachen Shaker 2002 118 S. graph. Darst. : 21 cm txt rdacontent n rdamedia nc rdacarrier Berichte aus der Mathematik Zugl.: Kaiserslautern, Univ., Diss., 2002 Finite-Volumen-Methode (DE-588)4220855-5 gnd rswk-swf Smoothed Particle Hydrodynamics (DE-588)4705983-7 gnd rswk-swf Inkompressible Strömung (DE-588)4129759-3 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Inkompressible Strömung (DE-588)4129759-3 s Smoothed Particle Hydrodynamics (DE-588)4705983-7 s Finite-Volumen-Methode (DE-588)4220855-5 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010152299&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Keck, Rainer L. O. 1972- The finite volume particle method a meshless projection method for incompressible flow Finite-Volumen-Methode (DE-588)4220855-5 gnd Smoothed Particle Hydrodynamics (DE-588)4705983-7 gnd Inkompressible Strömung (DE-588)4129759-3 gnd |
| subject_GND | (DE-588)4220855-5 (DE-588)4705983-7 (DE-588)4129759-3 (DE-588)4113937-9 |
| title | The finite volume particle method a meshless projection method for incompressible flow |
| title_auth | The finite volume particle method a meshless projection method for incompressible flow |
| title_exact_search | The finite volume particle method a meshless projection method for incompressible flow |
| title_full | The finite volume particle method a meshless projection method for incompressible flow Rainer L. O. Keck |
| title_fullStr | The finite volume particle method a meshless projection method for incompressible flow Rainer L. O. Keck |
| title_full_unstemmed | The finite volume particle method a meshless projection method for incompressible flow Rainer L. O. Keck |
| title_short | The finite volume particle method |
| title_sort | the finite volume particle method a meshless projection method for incompressible flow |
| title_sub | a meshless projection method for incompressible flow |
| topic | Finite-Volumen-Methode (DE-588)4220855-5 gnd Smoothed Particle Hydrodynamics (DE-588)4705983-7 gnd Inkompressible Strömung (DE-588)4129759-3 gnd |
| topic_facet | Finite-Volumen-Methode Smoothed Particle Hydrodynamics Inkompressible Strömung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010152299&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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