The PDE framework Peano: an environment for efficient flow simulations
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
München
Verl. Dr. Hut
2009
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| Ausgabe: | 1. Aufl. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 194 S. graph. Darst. |
| ISBN: | 9783868531473 |
Internformat
MARC
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| 245 | 1 | 0 | |a The PDE framework Peano |b an environment for efficient flow simulations |c Tobias Neckel |
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| 264 | 1 | |a München |b Verl. Dr. Hut |c 2009 | |
| 300 | |a VIII, 194 S. |b graph. Darst. | ||
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Datensatz im Suchindex
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| adam_text | CONTENTS 1. INTRODUCTION 1 2. THE PEANO CONCEPT 7 2.1. EXISTING PDE
SOLVER PACKAGES FOR CFD 7 2.2. ADAPTIVE CARTESIAN GRIDS 10 2.2.1.
ADAPTIVITY AND SPACETREES 10 2.2.2. SPACE-FILLING CURVES AND STACKS 12
2.3. REGULAR CARTESIAN GRIDS 16 2.4. IMPLEMENTATION ASPECTS 17 3.
FUNDAMENTALS OF FLUID DYNAMICS 23 3.1. BASICS OF CONTINUUM MECHANICS 23
3.2. NAVIER-STOKES EQUATIONS FOR INCOMPRESSIBLE FLOW 24 3.2.1. THE
REYNOLDS TRANSPORT THEOREM 24 3.2.2. THE CONTINUITY EQUATION 25 3.2.3.
THE MOMENTUM EQUATIONS 26 3.2.4. THE NAVIER-STOKES EQUATIONS IN
DIMENSIONLESS FORM 28 3.3. BOUNDARY CONDITIONS 30 3.3.1. VELOCITY
DIRICHLET CONDITIONS 30 3.3.2. FORCE CONDITIONS 30 3.3.3. OPEN BOUNDARY
CONDITIONS 31 3.3.4. PERIODIC BOUNDARY CONDITIONS 31 3.3.5. COMBINATION
OF BOUNDARY CONDITIONS 32 3.4. INITIAL CONDITIONS 33 3.5. SURVEY 34 4.
SPACE DISCRETISATION AND ALGORITHMIC ASPECTS 35 4.1. THE FINITE ELEMENT
METHOD 35 4.1.1. THE FINITE ELEMENT METHOD FOR CFD PROBLEMS 36 4.1.2.
BOUNDARY CONDITIONS 43 4.1.3. CONSISTENT FORCES 48 4.1.4. IMPLEMENTATION
ASPECTS 49 4.2. INTERPOLATED DIFFERENTIAL OPERATORS 51 4.2.1. CONCEPT OF
IDO 52 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/996810021
DIGITALISIERT DURCH CONTENTS 4.2.2. CONTINUITY EQUATION 55 4.2.3.
NAVIER-STOKES EQUATIONS 62 4.2.4. IDO SUMMARY & OUTLOOK 66 4.3. SUMMARY
67 5. TIME DISCRETISATION AND ALGORITHMIC ASPECTS 69 5.1. EXPLICIT TIME
INTEGRATION 70 5.1.1. EXPLICIT EULER METHOD 70 5.1.2. EXPLICIT
RUNGE-KUTTA 71 5.1.3. CHORIN PROJECTION METHOD 73 5.1.4. IMPLEMENTATION
ASPECTS 78 5.2. IMPLICIT TIME INTEGRATION 84 5.2.1. NEWTON S METHOD 84
5.2.2. STEADY STATE SOLUTIONS 85 5.2.3. IMPLICIT G METHOD 86 5.2.4.
COMPUTING THE JACOBIAN 91 5.3. PEANO S ODE COMPONENT 103 5.3.1. STORAGE
OF ODE DATA 103 5.3.2. SEPARATING ODE FUNCTIONALITY IN APPLICATIONS 106
5.3.3. MEMORY REQUIREMENTS FOR CFD SIMULATIONS 107 6. EXTENSIONS FOR CFD
111 6.1. FEATURES FOR TURBULENCE ILL 6.1.1. LES MODEL 112 6.1.2. MESH
STRETCHING FOR REGULAR GRIDS 115 6.1.3. VALIDATION OF TURBULENT FLOW
RESULTS AND TURBULENCE STATISTICS . 117 6.1.4. RESTART MECHANISM 121
6.2. PARALLEL CFD SIMULATIONS ON REGULAR GRIDS 123 6.3. MOVING
GEOMETRIES 126 6.3.1. UPDATE OF THE GRID 126 6.3.2. DIVERGENCE
CORRECTION 127 6.3.3. FIRST RESULTS 127 6.3.4. THE COUPLING ENVIRONMENT
PRECICE 132 7. NUMERICAL RESULTS 133 7.1. LAMINAR FLOW AROUND A CYLINDER
134 7.1.1. 2D RESULTS 134 7.1.2. 3D RESULTS 146 7.2. LAMINAR FLOW AROUND
AN FSI OBSTACLE 147 7.3 CONTENTS 9. CONCLUSION 167 9.1. SUMMARY 167 9.2.
OUTLOOK 168 A. DETAILS OF SPATIAL DISCRETISATION 171 A.I. FEM DETAILS
171 A.I.I. ELEMENT MATRICES 171 A.1.2. DIVERGENCE-FREE ELEMENTS 176 A.2.
IDO DETAILS 178 A.2.1. CENTRAL AND UPWIND POLYNOMIALS 178 A.2.2.
NON-LINEAR LINE-INTEGRATED TERMS IN 2D 180
|
| any_adam_object | 1 |
| author | Neckel, Tobias |
| author_facet | Neckel, Tobias |
| author_role | aut |
| author_sort | Neckel, Tobias |
| author_variant | t n tn |
| building | Verbundindex |
| bvnumber | BV035745830 |
| classification_tum | MAT 671d PHY 220d DAT 315d |
| ctrlnum | (OCoLC)506445490 (DE-599)BVBBV035745830 |
| dewey-full | 532.5101 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
| dewey-raw | 532.5101 |
| dewey-search | 532.5101 |
| dewey-sort | 3532.5101 |
| dewey-tens | 530 - Physics |
| discipline | Physik Informatik Mathematik |
| edition | 1. Aufl. |
| format | Thesis Book |
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| indexdate | 2024-07-09T22:03:31Z |
| institution | BVB |
| isbn | 9783868531473 |
| language | English |
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| physical | VIII, 194 S. graph. Darst. |
| publishDate | 2009 |
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| spelling | Neckel, Tobias Verfasser aut The PDE framework Peano an environment for efficient flow simulations Tobias Neckel 1. Aufl. München Verl. Dr. Hut 2009 VIII, 194 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Zugl.: München, Techn. Univ., Diss., 2009 Navier-Stokes-Gleichung (DE-588)4041456-5 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Navier-Stokes-Gleichung (DE-588)4041456-5 s Finite-Elemente-Methode (DE-588)4017233-8 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018605958&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Neckel, Tobias The PDE framework Peano an environment for efficient flow simulations Navier-Stokes-Gleichung (DE-588)4041456-5 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| subject_GND | (DE-588)4041456-5 (DE-588)4017233-8 (DE-588)4113937-9 |
| title | The PDE framework Peano an environment for efficient flow simulations |
| title_auth | The PDE framework Peano an environment for efficient flow simulations |
| title_exact_search | The PDE framework Peano an environment for efficient flow simulations |
| title_full | The PDE framework Peano an environment for efficient flow simulations Tobias Neckel |
| title_fullStr | The PDE framework Peano an environment for efficient flow simulations Tobias Neckel |
| title_full_unstemmed | The PDE framework Peano an environment for efficient flow simulations Tobias Neckel |
| title_short | The PDE framework Peano |
| title_sort | the pde framework peano an environment for efficient flow simulations |
| title_sub | an environment for efficient flow simulations |
| topic | Navier-Stokes-Gleichung (DE-588)4041456-5 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| topic_facet | Navier-Stokes-Gleichung Finite-Elemente-Methode Hochschulschrift |
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