Efficient simulation of flows through complex geometries in the PDE framework Peano:
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| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
München
Verl. Dr. Hut
2014
|
| Edition: | 1. Aufl. |
| Series: | Informatik
|
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | III, 138 S. graph. Darst. 210 mm x 148 mm, 231 g |
| ISBN: | 9783843918046 384391804X |
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MARC
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| 245 | 1 | 0 | |a Efficient simulation of flows through complex geometries in the PDE framework Peano |c Michael Lieb |
| 250 | |a 1. Aufl. | ||
| 263 | |a 201410 | ||
| 264 | 1 | |a München |b Verl. Dr. Hut |c 2014 | |
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Record in the Search Index
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CONTENTS
1 INTRODUCTION 1
2 RELATED FRAMEWORKS AND LIBRARIES 7
2.1 PETSC 7
2.2 DUNE 8
2.3 SUNDANCE 9
2.4 DEAL.II 10
2.5 TRILINOS 10
2.6 OPENFOAM 11
2.7 CLOSING REMARKS 12
3 FUNDAMENTALS OF FLOW SIMULATION 13
3.1 INCOMPRESSIBLE NAVIER-STOKES EQUATIONS 13
3.2 DISCRETIZATION OF THE NAVIER-STOKES EQUATION 14
3.2.1 DISCRETIZATION IN SPACE 15
3.2.2 DISCRETIZATION IN TIME 15
3.2.3 CHORIN
:
S PROJECTION METHOD 17
3.3 HOMOGENIZED FLOWS THROUGH POROUS GEOMETRIES 19
4 SCENARIO GENERATOR 21
4.1 RELATED SOFTWARE . . .' 22
4.2 SOFTWARE DESIGN 22
4.3 POROUS GEOMETRY GENERATORS 23
4.3.1 FRACTURED ROCKS 24
4.3.2 REGULAR SPHERE PACKINGS 24
4.3.3 COMPACT RANDOM SPHERE PACKINGS 25
4.4 CLOSING REMARKS 25
5 THE PEANO FRAMEWORK AND PEANO FLUID 29
5.1 INTRODUCTION TO PEANO 29
5.2 COMPONENT ARCHITECTURE 32
5.3 PARALLEL ADAPTIVE GRID: SETUP AND TRAVERSAL 34
5.4 APPLICATION SETUP WITH PEPROT AND DASTGEN 36
5.5 SPATIAL DISCRETIZATION OF PDES IN PEANO 36
5.5.1 GEOMETRY AND DATA SETUP 37
5.5.2 CELL AND VERTEX TYPE CLASSIFICATION 37
HTTP://D-NB.INFO/1060413035
CONTENTS
5.6 GRID TYPES IN PEANO 38
5.6.1 THE ADAPTIVE GRID 39
5.6.2 THE REGULAR GRID 41
6 ENABLING PEANO FLUID FOR HIGH-PERFORMANCE COMPUTING 43
6.1 INTRODUCTION TO PEANO FLUID 43
6.2 PARALLEL WRITING OF VISUALIZATION DATA 47
6.3 ENHANCED GEOMETRY MANAGEMENT 47
6.3.1 PARSING THE GEOMETRY 47
6.3.2 READING CAD DATA 50
6.3.3 GEOMETRY DISCRETIZATION ACCELERATION 51
6.3.4 DYNAMIC BOUNDARY TYPE ASSIGNMENT 52
6.4 DYNAMIC CONFIGURATION GENERATION 54
6.5 PARALLELIZATION OF PEANO FLUID 56
6.5.1 PROCESS CLASSES AND LOAD BALANCING 56
6.5.2 PARALLEL TASK CONCEPT 57
6.5.3 OVERVIEW OVER MATRICES IN PEANO FLUID 59
6.5.4 SYSTEM MATRIX SETUP FOR REGULAR GRIDS 61
6.5.5 TECHNICAL ASPECTS OF THE MATRIX SETUP FOR ADAPTIVE GRIDS 61
6.5.6 GRID ELEMENT NUMBERING FOR PARALLEL ADAPTIVE GRIDS . 64
6.5.7 SETUP AND PRE-AUOCATION OF THE DIVERGENCE OPERATOR MATRIX 71
7 PERFORMANCE ASSESSMENT 75
7.1 HARDWARE 75
7.1.1 TERMINOLOGY 75
7.1.2 THE MAC-CLUSTER 77
7.1.3 THE SUPERMUC 77
7.1.4 THE SHAHEEN 78
7.2 SCENARIOS 78
7.2.1 THE EMPTY CHANNEL 78
7.2.2 COMPUTER ROOM COOLING 80
7.3 SINGLE-CORE PERFORMANCE 81
7.3.1 COMPARISON OF PEANO GRIDS 82
7.3.2 IMPACT OF COMPILERS AND LIBRARIES 87
7.4 PARALLEL POTENTIAL AND PERFORMANCE 94
7.4.1 MEMORY BANDWIDTH LIMITATION 94
7.4.2 CHANNEL SCENARIO SCALING TESTS 98
7.4.3 COMPARISON OF PETSC 3.3 AND PETSC 3.4 105
7.4.4 SCALING THE PARALLEL ADAPTIVE GRID 107
7.5 PARALLEL PERFORMANCE AT HIGH CORE NUMBERS 109
7.5.1 STRONG SCALING BEHAVIOR 110
7.5.2 WEAK SCALING BEHAVIOR ILL
7.6 CLOSING REMARKS 112
CONTENTS
8 PORE SCALE FLOW SIMULATIONS 115
8.1 PERMEABILITY TENSOR ESTIMATION AND COMPUTATION 115
8.2 DEPENDENCY OF THE DISCHARGE ON THE RESOLUTION 119
8.2.1 THE FRACTURE .NETWORK SCENARIO 120
8.2.2 SPHERE PACKINGS 121
8.3 PARALLEL COMPUTATION OF THE DISCHARGE 123
8.4 CASE STUDY: ESTIMATION OF THE PERMEABILITY TENSOR 124
9 CONCLUSION 129 |
| any_adam_object | 1 |
| author | Lieb, Michael |
| author_facet | Lieb, Michael |
| author_role | aut |
| author_sort | Lieb, Michael |
| author_variant | m l ml |
| building | Verbundindex |
| bvnumber | BV042240217 |
| classification_tum | DAT 780d MAT 650d |
| ctrlnum | (OCoLC)898432251 (DE-599)DNB1060413035 |
| dewey-full | 530.4130151864 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.4130151864 |
| dewey-search | 530.4130151864 |
| dewey-sort | 3530.4130151864 |
| dewey-tens | 530 - Physics |
| discipline | Physik Informatik Mathematik |
| edition | 1. Aufl. |
| format | Thesis Book |
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| indexdate | 2024-08-03T02:01:18Z |
| institution | BVB |
| isbn | 9783843918046 384391804X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027678359 |
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| physical | III, 138 S. graph. Darst. 210 mm x 148 mm, 231 g |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | Verl. Dr. Hut |
| record_format | marc |
| series2 | Informatik |
| spelling | Lieb, Michael Verfasser aut Efficient simulation of flows through complex geometries in the PDE framework Peano Michael Lieb 1. Aufl. 201410 München Verl. Dr. Hut 2014 III, 138 S. graph. Darst. 210 mm x 148 mm, 231 g txt rdacontent n rdamedia nc rdacarrier Informatik Zugl.: München, Technische Universität, Diss., 2014 Poröser Stoff (DE-588)4046811-2 gnd rswk-swf Navier-Stokes-Gleichung (DE-588)4041456-5 gnd rswk-swf Strömungsfeld (DE-588)4058078-7 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Poröser Stoff (DE-588)4046811-2 s Strömungsfeld (DE-588)4058078-7 s Navier-Stokes-Gleichung (DE-588)4041456-5 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Erscheint auch als Online-Ausgabe Lieb, Michael Efficient Simulation of Flows Through Complex Geometries in the PDE Framework Peano X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4815588&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027678359&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lieb, Michael Efficient simulation of flows through complex geometries in the PDE framework Peano Poröser Stoff (DE-588)4046811-2 gnd Navier-Stokes-Gleichung (DE-588)4041456-5 gnd Strömungsfeld (DE-588)4058078-7 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4046811-2 (DE-588)4041456-5 (DE-588)4058078-7 (DE-588)4128130-5 (DE-588)4113937-9 |
| title | Efficient simulation of flows through complex geometries in the PDE framework Peano |
| title_auth | Efficient simulation of flows through complex geometries in the PDE framework Peano |
| title_exact_search | Efficient simulation of flows through complex geometries in the PDE framework Peano |
| title_full | Efficient simulation of flows through complex geometries in the PDE framework Peano Michael Lieb |
| title_fullStr | Efficient simulation of flows through complex geometries in the PDE framework Peano Michael Lieb |
| title_full_unstemmed | Efficient simulation of flows through complex geometries in the PDE framework Peano Michael Lieb |
| title_short | Efficient simulation of flows through complex geometries in the PDE framework Peano |
| title_sort | efficient simulation of flows through complex geometries in the pde framework peano |
| topic | Poröser Stoff (DE-588)4046811-2 gnd Navier-Stokes-Gleichung (DE-588)4041456-5 gnd Strömungsfeld (DE-588)4058078-7 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Poröser Stoff Navier-Stokes-Gleichung Strömungsfeld Numerisches Verfahren Hochschulschrift |
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