Modeling and efficient simulation of district heating network:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Stuttgart
Fraunhofer Verlag
2022
|
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis Inhaltsverzeichnis |
| Physical Description: | xii, 137 Seiten Diagramme 21 cm |
| ISBN: | 9783839618530 3839618533 |
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| 100 | 1 | |a Eimer, Matthias |e Verfasser |0 (DE-588)1271824256 |4 aut | |
| 245 | 1 | 0 | |a Modeling and efficient simulation of district heating network |c Matthias Eimer |
| 264 | 1 | |a Stuttgart |b Fraunhofer Verlag |c 2022 | |
| 300 | |a xii, 137 Seiten |b Diagramme |c 21 cm | ||
| 336 | |b txt |2 rdacontent | ||
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| 502 | |b Dissertation |c Technische Universität Kaiserslautern |d 2021 | ||
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| 653 | |a District heating networks | ||
| 653 | |a Mathematical Modeling | ||
| 653 | |a Numerical Simulation | ||
| 653 | |a High order Methods | ||
| 653 | |a Finite Volume Methods | ||
| 653 | |a Partial Differential Equations | ||
| 653 | |a Angewandte Mathematiker | ||
| 653 | |a Berechnungsingenieure | ||
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Record in the Search Index
| _version_ | 1804185451578261504 |
|---|---|
| adam_text | CONTENTS
1
INTRODUCTION
1
2
MODEL
7
2.1
EULER
EQUATIONS
..............................................................................................
7
2.1.1
CONTINUITY
EQUATION
..........................................................................
7
2.1.2
MOMENTUM
EQUATION
..........................................................................
8
2.1.3
ENERGY
EQUATION
................................................................................
9
2.1.4
ONE
DIMENSIONAL,
INCOMPRESSIBLE
FLOW
...........................................
9
2.2
NETWORK
MODEL
..........................................
11
2.2.1
BASIC
GRAPH
NOTATIONS
......................................................................
11
2.2.2
NETWORK
COMPONENTS
......................................................................
15
2.2.3
FULL
NETWORK
MODEL
.........................................................................
19
2.3
SPLITTING
...........................................................................................................
21
2.4
CONCLUSION
....................................................................................................
22
3
ANALYSIS
23
3.1
ANALYTICAL
EXAMPLES
.....................................................................................
23
3.1.1
FORMATION
OF
CONTACT
DISCONTINUITIES
..............................................
24
3.1.2
VIOLATION
OF
BV-STABILITY
...................................................................
25
3.1.3
TRACE
OF
THE
SOLUTION
.........................................................................
28
3.2
WELLPOSEDNESS
RESULTS
..................................................................................
30
3.3
HYDRODYNAMIC
SYSTEM
..................................................................................
30
3.4
ENERGY
NETWORK
...........................................................................................
35
3.5
THE
COUPLED
SYSTEM
.....................................................................................
42
3.6
TECHNICAL
DETAILS
...........................................................................................
46
3.6.1
PROOF
OF
LEMMA
3.4.2
......................................................................
50
4
NUMERICAL
METHODS:
EXPLICIT
SCHEMES
61
4.1
ADVECTION
EQUATION
.....................................................................................
61
4.2
FINITE
VOLUME
SCHEMES
..................................................................................
62
4.2.1
UPWIND
SCHEME
....................................................................................
63
4.2.2
OTHER
COMMON
SCHEMES
.....................................................................
65
4.2.3
HIGH
ORDER
METHODS
...........................................................................
65
4.2.4
ADER
SCHEMES
....................................................................................
66
4.2.5
FV
METHODS
ON
ADVECTION
NETWORKS
...............................................
70
4.2.6
ACTIVE
FLUX
SCHEME
..........................................................................
72
4.2.7
DISCONTINUOUS
GALERKIN
METHODS
.....................................................
73
4.3
LOCAL
TIME
STEPPING
(LTS)
SCHEME
..........................................................
74
4.3.1
HIGH
ORDER
LTS
SCHEME
....................................................................
78
4.3.2
SOURCE
TERM
......................................................................................
80
4.3.3
TIME
VARYING
VELOCITIES
...................................................................
80
5
NUMERICAL
METHODS:
IMPLICIT
SCHEMES
83
5.1
IMPLICIT
UPWIND
SCHEME
................................................................................
84
5.2
CHARACTERISTIC
SCHEME
...................................................................................
84
5.3
IMPLICIT
ACTIVE
FLUX
SCHEME
..........................................................................
86
5.3.1
EXTENDING
CHARACTERISTIC
SCHEME
TO
HIGHER
ORDER
........................
86
5.3.2
IMPLICIT
ACTIVE
FLUX
SCHEME
...........................................................
87
5.4
IMPLICIT
HIGH
ORDER
SCHEMES
.......................................................................
89
5.4.1
RECONSTRUCTION
AT
INTERFACE
..............................................................
89
5.4.2
STABILITY
ANALYSIS
................................................................................
89
5.5
IMPLICIT
LIMITING
............................................................................................
94
5.5.1
FLUX
CORRECTED
TRANSPORT
.................................................................
95
5.5.2
IMPLICIT
WENO
...................................................................................
96
5.5.3
A
POSTERIORI
LIMITING
.......................................................................
96
5.5.4
CONVEX
COMBINATION
OF
HIGH
ORDER
FLUXES
...................................
99
5.5.5
LIMITATIONS
OF
THE
SCHEME
.....................................................................
100
6
NUMERICAL
SCHEMES
FOR
THE
HYDRAULIC
PART
101
6.1
SOLVING
TRANSFORMED
HYDRAULIC
DAE
..............................................................
101
6.2
METHODS
FOR
THE
FULL
SYSTEM
..............................................................................
102
7
RESULTS
105
7.1
NUMERICAL
EXPERIMENTS
FOR
EXPLICIT
SCHEMES
.................................................
105
7.1.1
SPLIT
NETWORK
..........................................................................................
105
7.1.2
ONE-TO-ONE
COUPLING
WITH
VARYING
VELOCITIES
....................................
110
7.1.3
A
DISTRICT
HEATING
NETWORK
..................................................................
ILL
7.2
NUMERICAL
EXPERIMENTS
FOR
IMPLICIT
SCHEMES
.................................................
114
7.2.1
SHU
S
LINEAR
TEST
....................................................................................
114
7.2.2
CONVERGENCE
ANALYSIS
...........................................................................
118
7.2.3
TRIANGLE
NETWORK
....................................................................................
118
7.2.4
STREET
NETWORK
.......................................................................................
119
8
CONCLUSION
AND
OUTLOOK
123
BIBLIOGRAPHY
...............................................................................................................
126
|
| adam_txt |
CONTENTS
1
INTRODUCTION
1
2
MODEL
7
2.1
EULER
EQUATIONS
.
7
2.1.1
CONTINUITY
EQUATION
.
7
2.1.2
MOMENTUM
EQUATION
.
8
2.1.3
ENERGY
EQUATION
.
9
2.1.4
ONE
DIMENSIONAL,
INCOMPRESSIBLE
FLOW
.
9
2.2
NETWORK
MODEL
.
11
2.2.1
BASIC
GRAPH
NOTATIONS
.
11
2.2.2
NETWORK
COMPONENTS
.
15
2.2.3
FULL
NETWORK
MODEL
.
19
2.3
SPLITTING
.
21
2.4
CONCLUSION
.
22
3
ANALYSIS
23
3.1
ANALYTICAL
EXAMPLES
.
23
3.1.1
FORMATION
OF
CONTACT
DISCONTINUITIES
.
24
3.1.2
VIOLATION
OF
BV-STABILITY
.
25
3.1.3
TRACE
OF
THE
SOLUTION
.
28
3.2
WELLPOSEDNESS
RESULTS
.
30
3.3
HYDRODYNAMIC
SYSTEM
.
30
3.4
ENERGY
NETWORK
.
35
3.5
THE
COUPLED
SYSTEM
.
42
3.6
TECHNICAL
DETAILS
.
46
3.6.1
PROOF
OF
LEMMA
3.4.2
.
50
4
NUMERICAL
METHODS:
EXPLICIT
SCHEMES
61
4.1
ADVECTION
EQUATION
.
61
4.2
FINITE
VOLUME
SCHEMES
.
62
4.2.1
UPWIND
SCHEME
.
63
4.2.2
OTHER
COMMON
SCHEMES
.
65
4.2.3
HIGH
ORDER
METHODS
.
65
4.2.4
ADER
SCHEMES
.
66
4.2.5
FV
METHODS
ON
ADVECTION
NETWORKS
.
70
4.2.6
ACTIVE
FLUX
SCHEME
.
72
4.2.7
DISCONTINUOUS
GALERKIN
METHODS
.
73
4.3
LOCAL
TIME
STEPPING
(LTS)
SCHEME
.
74
4.3.1
HIGH
ORDER
LTS
SCHEME
.
78
4.3.2
SOURCE
TERM
.
80
4.3.3
TIME
VARYING
VELOCITIES
.
80
5
NUMERICAL
METHODS:
IMPLICIT
SCHEMES
83
5.1
IMPLICIT
UPWIND
SCHEME
.
84
5.2
CHARACTERISTIC
SCHEME
.
84
5.3
IMPLICIT
ACTIVE
FLUX
SCHEME
.
86
5.3.1
EXTENDING
CHARACTERISTIC
SCHEME
TO
HIGHER
ORDER
.
86
5.3.2
IMPLICIT
ACTIVE
FLUX
SCHEME
.
87
5.4
IMPLICIT
HIGH
ORDER
SCHEMES
.
89
5.4.1
RECONSTRUCTION
AT
INTERFACE
.
89
5.4.2
STABILITY
ANALYSIS
.
89
5.5
IMPLICIT
LIMITING
.
94
5.5.1
FLUX
CORRECTED
TRANSPORT
.
95
5.5.2
IMPLICIT
WENO
.
96
5.5.3
A
POSTERIORI
LIMITING
.
96
5.5.4
CONVEX
COMBINATION
OF
HIGH
ORDER
FLUXES
.
99
5.5.5
LIMITATIONS
OF
THE
SCHEME
.
100
6
NUMERICAL
SCHEMES
FOR
THE
HYDRAULIC
PART
101
6.1
SOLVING
TRANSFORMED
HYDRAULIC
DAE
.
101
6.2
METHODS
FOR
THE
FULL
SYSTEM
.
102
7
RESULTS
105
7.1
NUMERICAL
EXPERIMENTS
FOR
EXPLICIT
SCHEMES
.
105
7.1.1
SPLIT
NETWORK
.
105
7.1.2
ONE-TO-ONE
COUPLING
WITH
VARYING
VELOCITIES
.
110
7.1.3
A
DISTRICT
HEATING
NETWORK
.
ILL
7.2
NUMERICAL
EXPERIMENTS
FOR
IMPLICIT
SCHEMES
.
114
7.2.1
SHU
'
S
LINEAR
TEST
.
114
7.2.2
CONVERGENCE
ANALYSIS
.
118
7.2.3
TRIANGLE
NETWORK
.
118
7.2.4
STREET
NETWORK
.
119
8
CONCLUSION
AND
OUTLOOK
123
BIBLIOGRAPHY
.
126 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Eimer, Matthias |
| author_GND | (DE-588)1271824256 |
| author_facet | Eimer, Matthias |
| author_role | aut |
| author_sort | Eimer, Matthias |
| author_variant | m e me |
| building | Verbundindex |
| bvnumber | BV049104421 |
| ctrlnum | (OCoLC)1370936417 (DE-599)DNB1270293044 |
| format | Thesis Book |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV049104421 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T22:33:33Z |
| indexdate | 2024-07-10T09:55:27Z |
| institution | BVB |
| institution_GND | (DE-588)4786605-6 |
| isbn | 9783839618530 3839618533 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034365889 |
| oclc_num | 1370936417 |
| open_access_boolean | |
| owner | DE-29T |
| owner_facet | DE-29T |
| physical | xii, 137 Seiten Diagramme 21 cm |
| publishDate | 2022 |
| publishDateSearch | 2022 |
| publishDateSort | 2022 |
| publisher | Fraunhofer Verlag |
| record_format | marc |
| spelling | Eimer, Matthias Verfasser (DE-588)1271824256 aut Modeling and efficient simulation of district heating network Matthias Eimer Stuttgart Fraunhofer Verlag 2022 xii, 137 Seiten Diagramme 21 cm txt rdacontent n rdamedia nc rdacarrier Dissertation Technische Universität Kaiserslautern 2021 Fernwärmenetz (DE-588)4121258-7 gnd rswk-swf Mathematische Modellierung (DE-588)7651795-0 gnd rswk-swf Finite-Volumen-Methode (DE-588)4220855-5 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf District heating networks Mathematical Modeling Numerical Simulation High order Methods Finite Volume Methods Partial Differential Equations Angewandte Mathematiker Berechnungsingenieure Energieingenieure (DE-588)4113937-9 Hochschulschrift gnd-content Fernwärmenetz (DE-588)4121258-7 s Mathematische Modellierung (DE-588)7651795-0 s Finite-Volumen-Methode (DE-588)4220855-5 s Partielle Differentialgleichung (DE-588)4044779-0 s DE-604 Fraunhofer IRB-Verlag (DE-588)4786605-6 pbl X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=24a7667993e94460a34f8bc62ea4382c&prov=M&dok_var=1&dok_ext=htm Inhaltstext B:DE-101 application/pdf https://d-nb.info/1270293044/04 Inhaltsverzeichnis DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034365889&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p dnb 20230213 DE-101 https://d-nb.info/provenance/plan#dnb 2\p dnb 20230213 DE-101 https://d-nb.info/provenance/plan#dnb |
| spellingShingle | Eimer, Matthias Modeling and efficient simulation of district heating network Fernwärmenetz (DE-588)4121258-7 gnd Mathematische Modellierung (DE-588)7651795-0 gnd Finite-Volumen-Methode (DE-588)4220855-5 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4121258-7 (DE-588)7651795-0 (DE-588)4220855-5 (DE-588)4044779-0 (DE-588)4113937-9 |
| title | Modeling and efficient simulation of district heating network |
| title_auth | Modeling and efficient simulation of district heating network |
| title_exact_search | Modeling and efficient simulation of district heating network |
| title_exact_search_txtP | Modeling and efficient simulation of district heating network |
| title_full | Modeling and efficient simulation of district heating network Matthias Eimer |
| title_fullStr | Modeling and efficient simulation of district heating network Matthias Eimer |
| title_full_unstemmed | Modeling and efficient simulation of district heating network Matthias Eimer |
| title_short | Modeling and efficient simulation of district heating network |
| title_sort | modeling and efficient simulation of district heating network |
| topic | Fernwärmenetz (DE-588)4121258-7 gnd Mathematische Modellierung (DE-588)7651795-0 gnd Finite-Volumen-Methode (DE-588)4220855-5 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Fernwärmenetz Mathematische Modellierung Finite-Volumen-Methode Partielle Differentialgleichung Hochschulschrift |
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