An adaptive finite element method for the incompressible Navier-Stokes equations on time dependent domains:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | German |
| Published: |
Heidelberg
IWR
1995
|
| Series: | Interdisziplinäres Zentrum für Wissenschaftliches Rechnen <Heidelberg>: Preprint
1995,44 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | II, 115 S. graph. Darst. |
Staff View
MARC
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| 245 | 1 | 0 | |a An adaptive finite element method for the incompressible Navier-Stokes equations on time dependent domains |c Roland Becker. IWR, Interdisziplinäres Zentrum für Wissenschaftliches Rechnen der Universität Heidelberg ; SFB 359, Reaktive Strömungen, Diffusion und Transport |
| 264 | 1 | |a Heidelberg |b IWR |c 1995 | |
| 300 | |a II, 115 S. |b graph. Darst. | ||
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| 502 | |a Zugl.: Heidelberg, Univ., Diss. | ||
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Record in the Search Index
| _version_ | 1808137431071850496 |
|---|---|
| adam_text |
CONTENTS
1
INTRODUCTION
AND
NOTATIONS
1
2
MOVING
BOUNDARY
PROBLEMS
9
2.1
FLOW
IN
A
CHANNEL
WITH
A
MOVING
INDENTATION
.
9
2.2
FLOW
IN
A
WATER
PUMP
.
14
2.3
TIME
DISCRETIZATION
.
21
2.3.1
INVESTIGATION
OF
THE
CONTINUOUS
PROBLEM
.
21
2.3.2
SEMI-DISCRETIZATION
.
25
2.3.3
FULL
DISCRETIZATION
.
29
3
ADAPTIVE
FINITE
ELEMENTS
31
3.1
ADAPTIVE
ALGORITHM
.
32
3.2
A
RESIDUAL-BASED
ERROR
ESTIMATOR
.
37
3.3
MULTIGRID
METHOD
ON
LOCALLY
REFINED
MESHES
.
40
4
ERROR
ESTIMATORS
FOR
THE
STOKES
EQUATIONS
49
4.1
DISCRETIZATION
OF
THE
STOKES
EQUATIONS
.
50
4.2
A
POSTERIORI
ESTIMATES
FOR
THE
DISCRETIZATION
ERROR
.
54
4.3
A
POSTERIORI
ESTIMATES
FOR
THE
ITERATION
ERROR
.
59
4.4
NUMERICAL
TESTS
FOR
THE
ERROR
ESTIMATORS
.
61
5
DISCRETIZATION
OF
THE
STOKES
EQUATIONS
ON
ANISOTROPIC
GRIDS
71
5.1
INTERPOLATION
OPERATOR
ON
ANISOTROPIC
GRIDS
.
73
5.2
STABILITY
OF
THE
STABILIZED
Q
1
/Q-ELEMENT
.
78
5.3
STABILITY
OF
THE
STABILIZED
Q
1
/Q
1
-ELEMENT
.
80
5.4
ERROR
ESTIMATES
.
82
5.5
GENERALIZATIONS
TO
NON-ORTHOGONAL
AND
THREE
DIMENSIONAL
MESHES
85
5.6
NUMERICAL
TESTS
.
87
5.7
SOLUTION
ALGORITHM
.
88
6
FINITE
ELEMENTS
FOR
THE
NAVIER-STOKES
EQUATIONS
93
6.1
THE
STATIONARY
CASE
.
94
6.1.1
DISCRETIZATION
BY
THE
GALERKIN-LEAST-SQUARES
METHOD
.
.
94
6.1.2
MULTIGRID
FOR
THE
STATIONARY
EQUATIONS
.
98
6.1.3
EXAMPLES
FOR
THE
ADAPTIVE
ALGORITHM
.
100
6.2
THE
NONSTATIONARY
CASE
.
106
6.2.1
THE
PRESSURE
CORRECTION
SCHEME
.
106
6.2.2
OUTFLOW
BOUNDARY
CONDITION
.
109
REFERENCES
111
II |
| any_adam_object | 1 |
| author | Becker, Roland 1947-2014 |
| author_GND | (DE-588)1251859216 |
| author_facet | Becker, Roland 1947-2014 |
| author_role | aut |
| author_sort | Becker, Roland 1947-2014 |
| author_variant | r b rb |
| building | Verbundindex |
| bvnumber | BV010823101 |
| classification_tum | MAT 357d MAT 674d |
| ctrlnum | (OCoLC)75719841 (DE-599)BVBBV010823101 |
| discipline | Mathematik |
| format | Thesis Book |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV010823101 |
| illustrated | Illustrated |
| indexdate | 2024-08-23T00:50:25Z |
| institution | BVB |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007232815 |
| oclc_num | 75719841 |
| open_access_boolean | |
| owner | DE-29T DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-83 DE-188 |
| owner_facet | DE-29T DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-83 DE-188 |
| physical | II, 115 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | IWR |
| record_format | marc |
| series | Interdisziplinäres Zentrum für Wissenschaftliches Rechnen <Heidelberg>: Preprint |
| series2 | Interdisziplinäres Zentrum für Wissenschaftliches Rechnen <Heidelberg>: Preprint |
| spelling | Becker, Roland 1947-2014 Verfasser (DE-588)1251859216 aut An adaptive finite element method for the incompressible Navier-Stokes equations on time dependent domains Roland Becker. IWR, Interdisziplinäres Zentrum für Wissenschaftliches Rechnen der Universität Heidelberg ; SFB 359, Reaktive Strömungen, Diffusion und Transport Heidelberg IWR 1995 II, 115 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Interdisziplinäres Zentrum für Wissenschaftliches Rechnen <Heidelberg>: Preprint 1995,44 Zugl.: Heidelberg, Univ., Diss. Algorithmus swd Finite-Elemente-Methode swd Navier-Stokes-Gleichung swd Navier-Stokes-Gleichung (DE-588)4041456-5 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Algorithmus (DE-588)4001183-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Algorithmus (DE-588)4001183-5 s DE-604 Finite-Elemente-Methode (DE-588)4017233-8 s Navier-Stokes-Gleichung (DE-588)4041456-5 s Interdisziplinäres Zentrum für Wissenschaftliches Rechnen <Heidelberg>: Preprint 1995,44 (DE-604)BV005600191 1995,44 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007232815&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Becker, Roland 1947-2014 An adaptive finite element method for the incompressible Navier-Stokes equations on time dependent domains Interdisziplinäres Zentrum für Wissenschaftliches Rechnen <Heidelberg>: Preprint Algorithmus swd Finite-Elemente-Methode swd Navier-Stokes-Gleichung swd Navier-Stokes-Gleichung (DE-588)4041456-5 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Algorithmus (DE-588)4001183-5 gnd |
| subject_GND | (DE-588)4041456-5 (DE-588)4017233-8 (DE-588)4001183-5 (DE-588)4113937-9 |
| title | An adaptive finite element method for the incompressible Navier-Stokes equations on time dependent domains |
| title_auth | An adaptive finite element method for the incompressible Navier-Stokes equations on time dependent domains |
| title_exact_search | An adaptive finite element method for the incompressible Navier-Stokes equations on time dependent domains |
| title_full | An adaptive finite element method for the incompressible Navier-Stokes equations on time dependent domains Roland Becker. IWR, Interdisziplinäres Zentrum für Wissenschaftliches Rechnen der Universität Heidelberg ; SFB 359, Reaktive Strömungen, Diffusion und Transport |
| title_fullStr | An adaptive finite element method for the incompressible Navier-Stokes equations on time dependent domains Roland Becker. IWR, Interdisziplinäres Zentrum für Wissenschaftliches Rechnen der Universität Heidelberg ; SFB 359, Reaktive Strömungen, Diffusion und Transport |
| title_full_unstemmed | An adaptive finite element method for the incompressible Navier-Stokes equations on time dependent domains Roland Becker. IWR, Interdisziplinäres Zentrum für Wissenschaftliches Rechnen der Universität Heidelberg ; SFB 359, Reaktive Strömungen, Diffusion und Transport |
| title_short | An adaptive finite element method for the incompressible Navier-Stokes equations on time dependent domains |
| title_sort | an adaptive finite element method for the incompressible navier stokes equations on time dependent domains |
| topic | Algorithmus swd Finite-Elemente-Methode swd Navier-Stokes-Gleichung swd Navier-Stokes-Gleichung (DE-588)4041456-5 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Algorithmus (DE-588)4001183-5 gnd |
| topic_facet | Algorithmus Finite-Elemente-Methode Navier-Stokes-Gleichung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007232815&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005600191 |
| work_keys_str_mv | AT beckerroland anadaptivefiniteelementmethodfortheincompressiblenavierstokesequationsontimedependentdomains |