Discontinuous galerkin methods for the unsteady compressible navier-stokes equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
München
Verl. Dr. Hut
2009
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 113 S. Ill., graph. Darst. 21 cm |
| ISBN: | 9783868530117 |
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Record in the Search Index
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| adam_text | CONTENTS SYMBOLS VII ABBREVIATIONS X KURZFASSUNG XI ABSTRACT XUE 1
INTRODUCTION 1 1.1 OBJECTIVES 1 1.2 DISCONTINUOUS GALERKIN FOR
COMPRESSIBLE NAVIER-STOKES 2 1.3 TENSOR AND DIFFERENTIATION OPERATOR
NOTATIONS 2 1.4 GOVERNING EQUATIONS 4 1.5 OUTLINE 7 NUMERICS 9 2.1
POLYNOMIAL REPRESENTATION OF DATA ON UNSTRUCTURED GRIDS ... 9 2.1.1
STATE OF THE ART 9 2.1.2 POLYMORPHIC NODAL ELEMENTS 10 2.1.3 DISCUSSION
16 2.2 DISCONTINUOUS GALERKIN FORMULATIONS 17 2.2.1 STATE OF THE ART 17
2.2.2 THE ULTRA WEAK FORMULATION 20 2.2.3 DISCUSSION 22 2.3 EFFICIENT
NUMERICAL APPROXIMATION OF THE DG FORMULATIONS . . 23 2.3.1 STATE OF THE
ART 23 2.3.2 THE MODAL APPROACH WITH NODAL INTEGRATION 26 2.3.3
DISCUSSION 27 2.4 THE NUMERICAL FLUXES 29 2.4.1 STATE OF THE ART 32
2.4.2 THE DIFTUSIVE GENERALIZED RIEMANN PROBLEM 34 2.4.3 DISCUSSION 38
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/993260330 DIGITALISIERT
DURCH LEBENSLAUF 113 2.5 TIME DISCRETIZATION 39 2.5.1 STATE OF THE ART
39 2.5.2 THE PREDICTOR CORRECTOR APPROACH 41 2.5.3 DISCUSSION 48 3
COMPUTATIONS 51 3.1 VALIDATION AND PROOF OF CONCEPT 51 3.1.1 ACCURACY
AND APPLICABILITY OF THE POLYMORPHIC NODAL ELEMENTS 51 3.1.2 EFFICIENCY
OF THE NUMERICAL METHOD 58 3.1.3 UNRESOLVED PROBLEMS 62 3.2 APPLICATION
68 3.2.1 DIRECT NUMERICAL SIMULATION 2D 68 3.2.2 DIRECT NUMERICAL
SIMULATION 3D 73 4 PROSPECTS 83 A LEBESGUE CONSTANTS 85 B COEFFICIENTS
FOR CERK SCHEMES 89 C A HYBRID GRID FOR H-REFINEMENT STUDIES 93 D THE
LINEARIZED EULER EQUATIONS 95 E AN ANALYTJCAL SOLUTION FOR THE EULER
EQUATIONS 97 F AN ANALYTICAL SOLUTION FOR THE NAVIER-STOKES EQUATIONS 99
BIBLIOGRAPHY 101 LIST OF TABLES 109 LIST OF FIGURES 111 SYMBOLS SYMBOLS
CONTINUOUS EXTENSION RUNGE-KUTTA COEFFICIENTS SPEED OF SOUND DRAG/LIFT
COEFLICIENT SPECIFIC HEATS SPATIAL DIMENSION TYPICAL MESH SIZE
PARAMETERS FOR THE DEFINITION OF THE INTERPOLATION POINTS KELVIN GAUSS
INTEGRATION MATRIX MODAL STIFFNESS MATRIX NODAL STIFFNESS MATRIX SPACE
OF SQUARE-INTEGRABLE FUNCTIONS NUMBER OF UNKNOWNS IN A SYSTEM OF PDES
MACH NUMBER MAPPING FOR THE INTERIOR INTERPOLATION POINTS NORMAL VECTOR
UG NUMBER OF GAUSS POINTS RIH REFINEMENT LEVEL OF HYBRID GRID TIL NUMBER
OF LAGRANGE (NODAL) BASIS FUNCTIONS UM NUMBER OF MODAL BASIS FUNCTIONS
NP NUMBER OF PROCESSORS RISTAGES NUMBER OF CONTINUOUS EXTENSION
RUNGE-KUTTA C C D . CP, D H 1,1 K K 1 K 1 K 1 L 2 M ,CI CV 2D/3D ,G ,M
,N MA
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| any_adam_object | 1 |
| author | Gassner, Gregor 1980- |
| author_GND | (DE-588)137757239 |
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| dewey-full | 532.0533 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
| dewey-raw | 532.0533 |
| dewey-search | 532.0533 |
| dewey-sort | 3532.0533 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Thesis Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T21:35:33Z |
| institution | BVB |
| isbn | 9783868530117 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017370433 |
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| physical | XII, 113 S. Ill., graph. Darst. 21 cm |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Verl. Dr. Hut |
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| spelling | Gassner, Gregor 1980- Verfasser (DE-588)137757239 aut Discontinuous galerkin methods for the unsteady compressible navier-stokes equations by Gregor Gassner München Verl. Dr. Hut 2009 XII, 113 S. Ill., graph. Darst. 21 cm txt rdacontent n rdamedia nc rdacarrier Zugl.: Stuttgart, Univ., Diss., 2009 Inkompressible Strömung - Navier-Stokes-Gleichung - Diskontinuierliche Galerkin-Methode Diskontinuierliche Galerkin-Methode (DE-588)4588309-9 gnd rswk-swf Navier-Stokes-Gleichung (DE-588)4041456-5 gnd rswk-swf Inkompressible Strömung (DE-588)4129759-3 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Inkompressible Strömung (DE-588)4129759-3 s Navier-Stokes-Gleichung (DE-588)4041456-5 s Diskontinuierliche Galerkin-Methode (DE-588)4588309-9 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017370433&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gassner, Gregor 1980- Discontinuous galerkin methods for the unsteady compressible navier-stokes equations Inkompressible Strömung - Navier-Stokes-Gleichung - Diskontinuierliche Galerkin-Methode Diskontinuierliche Galerkin-Methode (DE-588)4588309-9 gnd Navier-Stokes-Gleichung (DE-588)4041456-5 gnd Inkompressible Strömung (DE-588)4129759-3 gnd |
| subject_GND | (DE-588)4588309-9 (DE-588)4041456-5 (DE-588)4129759-3 (DE-588)4113937-9 |
| title | Discontinuous galerkin methods for the unsteady compressible navier-stokes equations |
| title_auth | Discontinuous galerkin methods for the unsteady compressible navier-stokes equations |
| title_exact_search | Discontinuous galerkin methods for the unsteady compressible navier-stokes equations |
| title_full | Discontinuous galerkin methods for the unsteady compressible navier-stokes equations by Gregor Gassner |
| title_fullStr | Discontinuous galerkin methods for the unsteady compressible navier-stokes equations by Gregor Gassner |
| title_full_unstemmed | Discontinuous galerkin methods for the unsteady compressible navier-stokes equations by Gregor Gassner |
| title_short | Discontinuous galerkin methods for the unsteady compressible navier-stokes equations |
| title_sort | discontinuous galerkin methods for the unsteady compressible navier stokes equations |
| topic | Inkompressible Strömung - Navier-Stokes-Gleichung - Diskontinuierliche Galerkin-Methode Diskontinuierliche Galerkin-Methode (DE-588)4588309-9 gnd Navier-Stokes-Gleichung (DE-588)4041456-5 gnd Inkompressible Strömung (DE-588)4129759-3 gnd |
| topic_facet | Inkompressible Strömung - Navier-Stokes-Gleichung - Diskontinuierliche Galerkin-Methode Diskontinuierliche Galerkin-Methode Navier-Stokes-Gleichung Inkompressible Strömung Hochschulschrift |
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| work_keys_str_mv | AT gassnergregor discontinuousgalerkinmethodsfortheunsteadycompressiblenavierstokesequations |