Efficient solvers for incompressible flow problems: an algorithmic and computational approach
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1999
|
| Schriftenreihe: | Lecture notes in computational science and engineering
6 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 352 S. Ill., graph. Darst. 1 CD-ROM (12 cm) |
| ISBN: | 354065433X |
Internformat
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| 245 | 1 | 0 | |a Efficient solvers for incompressible flow problems |b an algorithmic and computational approach |c Stefan Turek |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1999 | |
| 300 | |a XV, 352 S. |b Ill., graph. Darst. |e 1 CD-ROM (12 cm) | ||
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Datensatz im Suchindex
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| adam_text | CONTENTS NOTATION XIII 1 MOTIVATION FOR CURRENT RESEARCH 1 1.1 RESULTS
AND CONCLUSIONS FROM BENCHMARK CALCULATIONS : : : : 4 1.2 NUMERICAL AND
ALGORITHMIC BOTTLENECKS OF CFD TOOLS : : : : : 16 2 DERIVATION OF
NAVIER{STOKES SOLVERS 27 2.1 MATHEMATICAL DESCRIPTION OF NAVIER{STOKES
SOLVERS : : : : : : 32 2.2 THE GENERAL PRESSURE SCHUR COMPLEMENT
APPROACH : : : : : 38 2.3 GLOBAL MULTILEVEL PRESSURE SCHUR COMPLEMENT
: : : : : : : 46 2.3.1 THE REACTIVE PRECONDITIONER A R : : : : : : : :
: : : 48 2.3.2 THE DI*USIVE PRECONDITIONER A D : : : : : : : : : : :
54 2.3.3 THE CONVECTIVE PRECONDITIONER A K : : : : : : : : : : 56
2.3.4 THE FACTORIZED PRECONDITIONER : : : : : : : : : : : : : 59 2.4
LOCAL MULTILEVEL PRESSURE SCHUR COMPLEMENT : : : : : : : : 67 2.4.1
THE LOCAL PRESSURE SCHUR COMPLEMENT PRECONDITIONER : : : : : : : : : :
: : : : : : : : : : : : 67 2.4.2 BLOCKING STRATEGIES FOR BUILDING
PATCHES * I : : : : : : : 72 2.5 RESULTING SCHEMES AND RELATION TO OTHER
EXISTING METHODS : : 78 3 OTHER MATHEMATICAL COMPONENTS 97 3.1 FINITE
ELEMENT SPACES : : : : : : : : : : : : : : : : : : : : : : : 98 3.1.1
CRITERIONS FOR THE COMPARISON OF VARIOUS STOKES ELEMENTS : : : : : : : :
: : : : : : : : : : : : : : 101 3.1.2 SOME PROPERTIES OF THE
NONCONFORMING ROTATED MULTILINEAR SPACES : : : : : : : : : : : : : : : :
: : : : 107 3.1.3 THE DISCRETELY DIVERGENCE{FREE SUBSPACES : : : : : : :
: 115 3.1.4 STABILIZATION TECHNIQUES FOR CONVECTIVE TERMS : : : : : 124
3.1.5 A POSTERIORI ERROR CONTROL MECHANISMS FOR *NITE ELEMENT APPROACHES
: : : : : : : : : : : : : : 147 3.2 TIME STEPPING TECHNIQUES : : : : : :
: : : : : : : : : : : : : : 161 3.2.1 THE FRACTIONAL{STEP{ * SCHEME AND
OTHER ONE{STEP{ * SCHEMES : : : : : : : : : : : : : 162 XII CONTENTS
3.2.2 NUMERICAL COMPARISONS OF SOME TIME DISCRETIZATION SCHEMES : : : :
: : : : : : : : : : : : : : 168 3.2.3 ADAPTIVE TIME STEPPING FOR
INCOMPRESSIBLE FLOW PROBLEMS : : : : : : : : : : : : : : : : : : : : : :
: 174 3.3 NONLINEAR ITERATION TECHNIQUES : : : : : : : : : : : : : : : :
: : 178 3.3.1 THE ADAPTIVE *XED POINT DEFECT CORRECTION METHOD : 181
3.3.2 NUMERICAL ASPECTS OF NONLINEAR (AND LINEAR) ITERATION SCHEMES : :
: : : : : : : : : : : : : : : : : : : 189 3.3.3 LINEARIZATION TECHNIQUES
FOR NONSTATIONARY FLOWS : : : 203 3.3.4 OTHER NONLINEAR TECHNIQUES FOR
THE NAVIER{STOKES EQUATIONS : : : : : : : : : : : : : : : : : : : : : :
: : : 206 3.4 LINEAR MULTIGRID TECHNIQUES : : : : : : : : : : : : : : :
: : : : 208 3.4.1 LINEAR BASIC ITERATIONS AND THEIR PROPERTIES AS
SMOOTHERS : : : : : : : : : : : : : : : : : : : : : : : 212 3.4.2 GRID
TRANSFER, COARSE GRID OPERATORS AND CONTROL OF CORRECTION : : : : : : :
: : : : : : : : : : : : : : : : 218 3.4.3 NUMERICAL EXAMPLES FOR
MULTIGRID PERFORMANCE : : : : 227 3.5 BOUNDARY CONDITIONS : : : : : : :
: : : : : : : : : : : : : : : : 247 3.5.1 VARIATIONAL FORMULATIONS IN
UNBOUNDED DOMAINS : : : : 249 3.5.2 VARIATIONAL FORMULATIONS IN BOUNDED
DOMAINS : : : : : 253 3.5.3 ASSOCIATED BOUNDARY CONDITIONS OF FLUX AND
PRESSURE DROP TYPE : : : : : : : : : : : : : : : : : : 266 3.5.4
IMPLEMENTATION OF BOUNDARY CONDITIONS : : : : : : : : 269 4 NUMERICAL
COMPARISONS OF NAVIER-STOKES SOLVERS 281 4.1 SOME EXEMPLARY NUMERICAL
EXAMPLES : : : : : : : : : : : : : : 285 4.2 CONCLUSIONS FROM THE
NUMERICAL SIMULATIONS : : : : : : : : : : 325 5 CONCLUSIONS AND OUTLOOK
335 6 THE ENCLOSED CDROM 341 BIBLIOGRAPHY 343
|
| any_adam_object | 1 |
| author | Turek, Stefan 1964- |
| author_GND | (DE-588)11187646X |
| author_facet | Turek, Stefan 1964- |
| author_role | aut |
| author_sort | Turek, Stefan 1964- |
| author_variant | s t st |
| building | Verbundindex |
| bvnumber | BV012408268 |
| classification_rvk | UF 4050 |
| classification_tum | MTA 380f |
| ctrlnum | (OCoLC)634758456 (DE-599)BVBBV012408268 |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV012408268 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:27:04Z |
| institution | BVB |
| isbn | 354065433X |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008418198 |
| oclc_num | 634758456 |
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| physical | XV, 352 S. Ill., graph. Darst. 1 CD-ROM (12 cm) |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in computational science and engineering |
| series2 | Lecture notes in computational science and engineering |
| spelling | Turek, Stefan 1964- Verfasser (DE-588)11187646X aut Efficient solvers for incompressible flow problems an algorithmic and computational approach Stefan Turek Berlin [u.a.] Springer 1999 XV, 352 S. Ill., graph. Darst. 1 CD-ROM (12 cm) txt rdacontent n rdamedia nc rdacarrier Lecture notes in computational science and engineering 6 Inkompressible Strömung (DE-588)4129759-3 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 s DE-604 Inkompressible Strömung (DE-588)4129759-3 s Numerisches Verfahren (DE-588)4128130-5 s Lecture notes in computational science and engineering 6 (DE-604)BV011386476 6 SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008418198&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Turek, Stefan 1964- Efficient solvers for incompressible flow problems an algorithmic and computational approach Lecture notes in computational science and engineering Inkompressible Strömung (DE-588)4129759-3 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| subject_GND | (DE-588)4129759-3 (DE-588)4128130-5 (DE-588)4077970-1 |
| title | Efficient solvers for incompressible flow problems an algorithmic and computational approach |
| title_auth | Efficient solvers for incompressible flow problems an algorithmic and computational approach |
| title_exact_search | Efficient solvers for incompressible flow problems an algorithmic and computational approach |
| title_full | Efficient solvers for incompressible flow problems an algorithmic and computational approach Stefan Turek |
| title_fullStr | Efficient solvers for incompressible flow problems an algorithmic and computational approach Stefan Turek |
| title_full_unstemmed | Efficient solvers for incompressible flow problems an algorithmic and computational approach Stefan Turek |
| title_short | Efficient solvers for incompressible flow problems |
| title_sort | efficient solvers for incompressible flow problems an algorithmic and computational approach |
| title_sub | an algorithmic and computational approach |
| topic | Inkompressible Strömung (DE-588)4129759-3 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| topic_facet | Inkompressible Strömung Numerisches Verfahren Strömungsmechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008418198&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV011386476 |
| work_keys_str_mv | AT turekstefan efficientsolversforincompressibleflowproblemsanalgorithmicandcomputationalapproach |