Distributed relaxation multigrid applied to incompressible equations in computational fluid dynamics:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Sankt Augustin
GMD-Forschungszentrum Informationstechnik
2001
|
| Series: | GMD research series
2001,4 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Zugl.: Essen, Univ., Diss., 2000 |
| Physical Description: | XVI, 112 S. graph. Darst. |
| ISBN: | 388457387X |
Staff View
MARC
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| 100 | 1 | |a Lang, Monika |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Distributed relaxation multigrid applied to incompressible equations in computational fluid dynamics |c Monika Lang. GMD-Forschungszentrum Informationstechnik GmbH |
| 264 | 1 | |a Sankt Augustin |b GMD-Forschungszentrum Informationstechnik |c 2001 | |
| 300 | |a XVI, 112 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a GMD research series |v 2001,4 | |
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Record in the Search Index
| _version_ | 1805068659146620928 |
|---|---|
| adam_text |
CONTENTS
LIST
OF
FIGURES
IX
LIST
OF
TABLES
XI
NOMENCLATURE
XIII
1.
MOTIVATION
1
2.
NAVIER-STOKES
EQUATIONS
7
2.1
CONSERVATION
LAWS
.
8
2.2
COMPRESSIBLE
NAVIER-STOKES
EQUATIONS
.
14
2.3
INCOMPRESSIBLE
NAVIER-STOKES
EQUATIONS
.
18
2.4
OUTLINE
OF
NUMERICAL
SOLUTION
METHODS
.
21
3.
MULTIGRID
FOR
SCALAR
EQUATIONS
23
3.1
MAIN
IDEAS
OF
MULTIGRID
.
24
VIII
CONTENTS
3.2
DEFINITIONS
.
26
3.3
MULTIGRID
ALGORITHMS
.
28
3.4
GRID
COARSENING
AND
TRANSFER
.
31
3.5
ANALYSIS
OF
CONVERGENCE,
SMOOTHING
AND
STABILITY
.
38
3.6
PERFORMANCE
OF
MULTIGRID
.
43
4.
MULTIGRID
FOR
SYSTEMS
OF
INCOMPRESSIBLE
EQUATIONS
47
4.1
MULTIGRID
FOR
SYSTEMS
OF
UNCOUPLED
EQUATIONS
.
50
4.2
DISCRETIZATION
AND
STABILITY
PROBLEMS
.
51
4.3
DISTRIBUTIVE
GAUSS-SEIDEL
(DGS)
RELAXATION
.
56
4.3.1
DISTRIBUTION
OPERATORS
.
57
4.3.2
PATTERNS
OF
WEIGHTS
AND
LOCATIONS
.
58
4.3.3
VALUES
OF
DISTRIBUTED
CHANGES
.
62
4.4
STABILITY
ANALYSIS
.
65
4.4.1
H-ELLIPTICITY
FOR
THE
STOKES
EQUATIONS
.
67
4.4.2
H-ELLIPTICITY
FOR
EULER
EQUATIONS
.
69
4.4.3
H-ELLIPTICITY
FOR
NAVIER-STOKES
EQUATIONS
.
71
4.4.4
COMPARISON
WITH
EMPIRICAL
RESULTS
.
75
5.
RESULTS
OF
NUMERICAL
EXPERIMENTS
79
5.1
STOKES
EQUATIONS
-
THE
VISCOUS
FLOW
PROBLEM
.
81
5.2
STOKES
EQUATIONS
-
THE
DRIVEN
CAVITY
PROBLEM
.
85
5.3
EULER
EQUATIONS
-
THE
ENTERING
FLOW
PROBLEM
.
89
5.4
NAVIER-STOKES
EQUATIONS
-
THE
ENTERING
FLOW
PROBLEM
.
97
6.
CONCLUSION
99
APPENDIX
101
BIBLIOGRAPHY
103
INDEX
111 |
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| ctrlnum | (OCoLC)48267686 (DE-599)BVBBV013779350 |
| discipline | Physik |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV013779350 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T03:53:37Z |
| institution | BVB |
| isbn | 388457387X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009419884 |
| oclc_num | 48267686 |
| open_access_boolean | |
| owner | DE-703 DE-91G DE-BY-TUM |
| owner_facet | DE-703 DE-91G DE-BY-TUM |
| physical | XVI, 112 S. graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | GMD-Forschungszentrum Informationstechnik |
| record_format | marc |
| series | GMD research series |
| series2 | GMD research series |
| spelling | Lang, Monika Verfasser aut Distributed relaxation multigrid applied to incompressible equations in computational fluid dynamics Monika Lang. GMD-Forschungszentrum Informationstechnik GmbH Sankt Augustin GMD-Forschungszentrum Informationstechnik 2001 XVI, 112 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier GMD research series 2001,4 Zugl.: Essen, Univ., Diss., 2000 Mehrgitterverfahren (DE-588)4038376-3 gnd rswk-swf Navier-Stokes-Gleichung (DE-588)4041456-5 gnd rswk-swf Relaxationsmethode (DE-588)4451085-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Navier-Stokes-Gleichung (DE-588)4041456-5 s Mehrgitterverfahren (DE-588)4038376-3 s Relaxationsmethode (DE-588)4451085-8 s DE-604 GMD research series 2001,4 (DE-604)BV012051130 2001,4 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009419884&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lang, Monika Distributed relaxation multigrid applied to incompressible equations in computational fluid dynamics GMD research series Mehrgitterverfahren (DE-588)4038376-3 gnd Navier-Stokes-Gleichung (DE-588)4041456-5 gnd Relaxationsmethode (DE-588)4451085-8 gnd |
| subject_GND | (DE-588)4038376-3 (DE-588)4041456-5 (DE-588)4451085-8 (DE-588)4113937-9 |
| title | Distributed relaxation multigrid applied to incompressible equations in computational fluid dynamics |
| title_auth | Distributed relaxation multigrid applied to incompressible equations in computational fluid dynamics |
| title_exact_search | Distributed relaxation multigrid applied to incompressible equations in computational fluid dynamics |
| title_full | Distributed relaxation multigrid applied to incompressible equations in computational fluid dynamics Monika Lang. GMD-Forschungszentrum Informationstechnik GmbH |
| title_fullStr | Distributed relaxation multigrid applied to incompressible equations in computational fluid dynamics Monika Lang. GMD-Forschungszentrum Informationstechnik GmbH |
| title_full_unstemmed | Distributed relaxation multigrid applied to incompressible equations in computational fluid dynamics Monika Lang. GMD-Forschungszentrum Informationstechnik GmbH |
| title_short | Distributed relaxation multigrid applied to incompressible equations in computational fluid dynamics |
| title_sort | distributed relaxation multigrid applied to incompressible equations in computational fluid dynamics |
| topic | Mehrgitterverfahren (DE-588)4038376-3 gnd Navier-Stokes-Gleichung (DE-588)4041456-5 gnd Relaxationsmethode (DE-588)4451085-8 gnd |
| topic_facet | Mehrgitterverfahren Navier-Stokes-Gleichung Relaxationsmethode Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009419884&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV012051130 |
| work_keys_str_mv | AT langmonika distributedrelaxationmultigridappliedtoincompressibleequationsincomputationalfluiddynamics |