Efficient iterative solution of spectral systems for the Navier-Stokes equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English German |
| Veröffentlicht: |
Berlin
Köster
1994
|
| Ausgabe: | 1. Aufl. |
| Schriftenreihe: | Wissenschaftliche Schriftenreihe Mathematik
2 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Zugl.: Düsseldorf, Univ., Habil.-Schr., 1992 |
| Beschreibung: | 3, 110 S. |
| ISBN: | 3929937816 |
Internformat
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| 245 | 1 | 0 | |a Efficient iterative solution of spectral systems for the Navier-Stokes equations |c Wilhelm Heinrichs |
| 250 | |a 1. Aufl. | ||
| 264 | 1 | |a Berlin |b Köster |c 1994 | |
| 300 | |a 3, 110 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Wissenschaftliche Schriftenreihe Mathematik |v 2 | |
| 500 | |a Zugl.: Düsseldorf, Univ., Habil.-Schr., 1992 | ||
| 650 | 4 | |a Iterative methods (Mathematics) | |
| 650 | 4 | |a Navier-Stokes equations |x Numerical solutions | |
| 650 | 4 | |a Spectral theory (Mathematics) | |
| 650 | 0 | 7 | |a Iteration |0 (DE-588)4123457-1 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1807324205993164800 |
|---|---|
| adam_text |
CONTENTS
ABSTRACT
3
NOTATION
5
1
SPECTRAL
MULTIGRID
FOR
THE
NAVIER-STOKES
EQUATIONS
IN
VORTICITY-STREAMFUNCTION
FORMULATION
1.1
INTRODUCTION
6
1.2
NAVIER-STOKES
EQUATIONS
8
1.3
PSEUDO
SPECTRAL
DISCRETIZATION
10
1.4
FINITE
DIFFERENCE
DISCRETIZATION
14
1.5
SPECTRAL
MULTIGRID
METHOD
16
1.6
NUMERICAL
RESULTS
20
1.7
EXAMPLES
22
1.8
TREATMENT
OF
CONVECTION
DOMINATED
FLOWS
24
1.9
APPLICATION
TO
THE
BOUSSINESQ
FLOW
PROBLEM
28
1.10
EXTENSION
TO
3D
PROBLEMS
AND
PARALLEL
COMPUTERS
32
2
STABILIZATION
TECHNIQUES
FOR
THE
STOKES
EQUATIONS
IN
STREAMFUNCTION
FORMULATION
2.1
INTRODUCTION
35
2.2
THE
TAU
METHOD
36
2.3
THE
COLLOCATION
METHOD
40
2.4
INHOMOGENEOUS
BOUNDARY
CONDITIONS
42
2.5
EXAMPLES
48
1
3
DOMAIN
DECOMPOSITION
FOR
THE
STOKES
EQUATIONS
IN
STREAMFUNCTION
FORMULATION
3.1
INTRODUCTION
50
3.2
VARIATIONAL
FORMULATION
51
3.3
PSEUDO
SPECTRAL
APPROXIMATION
55
3.4
EXTENSION
TO
MORE
GENERAL
PROBLEMS
61
3.S
AN
ITERATIVE
METHOD
WITH
INTERFACE
RELAXATION
64
3.6
INTERFACE
RELAXATION
IN
TWO
DIMENSIONS
76
4
SPLITTING
TECHNIQUES
FOR
THE
UNSTEADY
STOKES
EQUATIONS
IN
VELOCITY-PRESSURE
FORMULATION
4.1
INTRODUCTION
80
4.2
SPLITTING
TECHNIQUE
81
4.3
PSEUDO
SPECTRAL
DISCRETIZATION
83
4.4
THE
SPECTRAL
PSEUDO-LAPLACIAN
86
4.S
PRECONDITIONING
94
BIBLIOGRAPHY
102
ACKNOWLEDGEMENTS
110
2 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. Aufl. |
| format | Book |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV009594346 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-14T01:24:36Z |
| institution | BVB |
| isbn | 3929937816 |
| language | English German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006342197 |
| oclc_num | 243782604 |
| open_access_boolean | |
| owner | DE-12 |
| owner_facet | DE-12 |
| physical | 3, 110 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Köster |
| record_format | marc |
| series | Wissenschaftliche Schriftenreihe Mathematik |
| series2 | Wissenschaftliche Schriftenreihe Mathematik |
| spelling | Heinrichs, Wilhelm Verfasser aut Efficient iterative solution of spectral systems for the Navier-Stokes equations Wilhelm Heinrichs 1. Aufl. Berlin Köster 1994 3, 110 S. txt rdacontent n rdamedia nc rdacarrier Wissenschaftliche Schriftenreihe Mathematik 2 Zugl.: Düsseldorf, Univ., Habil.-Schr., 1992 Iterative methods (Mathematics) Navier-Stokes equations Numerical solutions Spectral theory (Mathematics) Iteration (DE-588)4123457-1 gnd rswk-swf Spektralmethode (DE-588)4224817-6 gnd rswk-swf Navier-Stokes-Gleichung (DE-588)4041456-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Navier-Stokes-Gleichung (DE-588)4041456-5 s Spektralmethode (DE-588)4224817-6 s Iteration (DE-588)4123457-1 s DE-604 Wissenschaftliche Schriftenreihe Mathematik 2 (DE-604)BV009707832 2 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006342197&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Heinrichs, Wilhelm Efficient iterative solution of spectral systems for the Navier-Stokes equations Wissenschaftliche Schriftenreihe Mathematik Iterative methods (Mathematics) Navier-Stokes equations Numerical solutions Spectral theory (Mathematics) Iteration (DE-588)4123457-1 gnd Spektralmethode (DE-588)4224817-6 gnd Navier-Stokes-Gleichung (DE-588)4041456-5 gnd |
| subject_GND | (DE-588)4123457-1 (DE-588)4224817-6 (DE-588)4041456-5 (DE-588)4113937-9 |
| title | Efficient iterative solution of spectral systems for the Navier-Stokes equations |
| title_auth | Efficient iterative solution of spectral systems for the Navier-Stokes equations |
| title_exact_search | Efficient iterative solution of spectral systems for the Navier-Stokes equations |
| title_full | Efficient iterative solution of spectral systems for the Navier-Stokes equations Wilhelm Heinrichs |
| title_fullStr | Efficient iterative solution of spectral systems for the Navier-Stokes equations Wilhelm Heinrichs |
| title_full_unstemmed | Efficient iterative solution of spectral systems for the Navier-Stokes equations Wilhelm Heinrichs |
| title_short | Efficient iterative solution of spectral systems for the Navier-Stokes equations |
| title_sort | efficient iterative solution of spectral systems for the navier stokes equations |
| topic | Iterative methods (Mathematics) Navier-Stokes equations Numerical solutions Spectral theory (Mathematics) Iteration (DE-588)4123457-1 gnd Spektralmethode (DE-588)4224817-6 gnd Navier-Stokes-Gleichung (DE-588)4041456-5 gnd |
| topic_facet | Iterative methods (Mathematics) Navier-Stokes equations Numerical solutions Spectral theory (Mathematics) Iteration Spektralmethode Navier-Stokes-Gleichung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006342197&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV009707832 |
| work_keys_str_mv | AT heinrichswilhelm efficientiterativesolutionofspectralsystemsforthenavierstokesequations |