Verfügbarkeit: Fluid-structure interaction

Fluid-structure interaction: modeling, adaptive discretisations and solvers

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Bibliographische Detailangaben
Weitere Verfasser:	Frei, Stefan (HerausgeberIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Berlin De Gruyter [2017]
Schriftenreihe:	Radon series on computational and applied mathematics volume 20
Schlagworte:	Mathematisches Modell Fluid-Struktur-Wechselwirkung Numerisches Verfahren Hydromechanik Numerische Mathematik Konferenzschrift > 2016 > Linz
Online-Zugang:	Inhaltsverzeichnis Inhaltsverzeichnis
Beschreibung:	XIV, 369 Seiten Illustrationen, Diagramme 25 cm
ISBN:	9783110495270 9783110494266

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Datensatz im Suchindex

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adam_text	CONTENTS PREFACE * V LIST OF CONTRIBUTING AUTHORS * XIII PART I: MODELING AND DISCRETIZATION STEFFEN BASTING, ANNALISA QUAINI, SUNCICA CANIC, AND ROLAND GLOWINSKI 1 ON THE IMPLEMENTATION AND BENCHMARKING OF AN EXTENDED ALE METHOD FOR FSI PROBLEMS * 3 1.1 INTRODUCTION * 4 1.2 PROBLEM DEFINITION * 6 1.2.1 THE FLUID PROBLEM ----- 7 1.2.2 THE STRUCTURE PROBLEM ----- 7 1.2.3 THE COUPLED FLUID-STRUCTURE INTERACTION PROBLEM * 8 1.3 NUMERICAL REPRESENTATION OF THE GEOMETRY * 9 1.3.1 OPTIMAL TRIANGULATIONS * 9 1.3.2 INTERFACE ALIGNED MESH ----- 11 1.4 PARTITIONED METHODS FOR THE FLUID-STRUCTURE INTERACTION PROBLEM * 13 1.4.1 THE DIRICHLET-NEUMANN METHOD * 14 1.4.2 THE ROBIN-NEUMANN METHOD ----- 15 1.5 THE FULLY DISCRETE PROBLEM * 16 1.5.1 THE DISCRETE FLUID SUBPROBLEM * 16 1.5.2 THE DISCRETE STRUCTURE PROBLEM * 18 1.5.3 ENFORCEMENT OF THE COUPLING CONDITIONS * 20 1.6 NUMERICAL RESULTS * 23 1.6.1 VALIDATION OF THE STRUCTURE SOLVER * 23 1.6.2 CONTINUOUS VS. DISCONTINUOUS PRESSURE ACROSS THE INTERFACE * 26 1.6.3 MODERATE-AMPLITUDE OSCILLATORY MOTION OF THE BEAM * 28 1.6.4 LARGE-AMPLITUDE OSCILLATORY MOTION OF THE BEAM * 32 1.7 CONCLUSIONS ----- 34 JOHAN HOFFMAN, BAERBEL HOLM, AND THOMAS RICHTER 2 THE LOCALLY ADAPTED PARAMETRIC FINITE ELEMENT METHOD FOR INTERFACE PROBLEMS ON TRIANGULAR MESHES * 41 2.1 INTRODUCTION ----- 41 2.2 THE LOCALLY ADAPTED PATCH FINITE ELEMENT METHOD * 43 2.2.1 DEFINITION OF THE FINITE ELEMENT SPACE ON CUT TRIANGLES * 44 2.2.2 QUADRATURE ON CUT TRIANGLES ----- 45 2.2.3 DISCRETE VARIATIONAL FORMULATION ----- 47 2.3 MAXIMUM ANGLE CONDITION ----- 47 2.3.1 TWO EDGES ARE CUT ----- 49 2.3.2 A VERTEX AND AN EDGE ARE CUT * 50 2.4 A PRIORI ERROR ANALYSIS ----- 52 2.5 NUMERICAL EXAMPLES ----- 57 2.5.1 CIRCULAR INTERFACE ----- 58 2.5.2 HORIZONTAL CUT ----- 59 2.5.3 TILTED INTERFACE LIN E ----- 61 2.6 CONCLUSIONS ----- 63 STEFAN FREI AND THOMAS RICHTER 3 AN ACCURATE EULERIAN APPROACH FOR FLUID-STRUCTURE INTERACTIONS 3.1 INTRODUCTION ----- 69 3.2 MODELING ----- 73 3.2.1 CONTINUUM MECHANICS * 73 3.2.2 A MONOLITHIC FULLY EULERIAN APPROACH ----- 77 3.3 COMPARISON WITH OTHER APPROACHES ------- 79 3.3.1 ARBITRARY LAGRANGIAN-EULERIAN METHOD ----- 80 3.3.2 EULER-LAGRANGIAN METHODS ----- 82 3.3.3 IMMERSED BOUNDARY METHODS * 85 3.4 DISCRETIZATION ------ 86 3.4.1 SPACE DISCRETIZATION * 86 3.4.2 PRESSURE STABILIZATION ----- 89 3.4.3 TEMPORAL DISCRETIZATION * 91 3.4.4 STABILIZATION OF THE SOLID EQUATION ----- 97 3.5 VALIDATION BY MEANS OF BENCHMARK PROBLEMS ----- 102 3.5.1 SETTING OF THE BENCHMARK PROBLEMS * 102 3.5.2 PRACTICAL IMPLEMENTATION * 103 3.5.3 FSI1 BENCHMARK * 104 3.5.4 FSI3 BENCHMARK ----- 105 3.6 A SIMPLE CONTACT PROBLEM * 109 3.6.1 EXAMPLE 1: VERTICAL FA LL ----- 109 3.6.2 A SIMPLE CONTACT ALGORITHM * 115 3.6.3 EXAMPLE 2: BOUNCING DOWN THE STAIRS ----- 117 3.7 CONCLUSION ----- 121 PART II: SOLVERS PHILIPP BIRKEN AND AZAHAR MONGE 4 NUMERICAL METHODS FOR UNSTEADY THERMAL FLUID STRUCTURE INTERACTION 4.1 INTRODUCTION * 129 4.1.1 PARTITIONED COUPLING METHODS * 132 4.2 TREATING THERMAL FSI PROBLEMS * 134 4.2.1 FLUID MODEL ----- 134 4.2.2 STRUCTURE MODEL * 135 4.2.3 COUPLING CONDITIONS ----- 136 4.2.4 DISCRETIZATION IN SPACE ----- 136 4.2.5 TIME DISCRETIZATION ----- 136 4.2.6 THE DIRICHLET-NEUMANN METHOD * 137 4.3 A MODEL PROBLEM: COUPLED HEAT EQUATIONS * 137 4.3.1 MODEL PROBLEM * 138 4.3.2 SEMIDISCRETE ANALYSIS * 138 4.3.3 SPACE DISCRETIZATION * 139 4.3.4 TIME DISCRETIZATION * 141 4.3.5 FIXED-POINT ITERATION* 141 4.4 CONVERGENCE ANALYSIS * 142 4.4.1 NUMERICAL RESULTS * 146 4.5 TIME-ADAPTIVE METHODS * 148 4.5.1 EXTRAPOLATION FROM TIME INTEGRATION * 150 4.6 CHOOSING TOLERANCES * 151 4.6.1 PERTURBED NESTED FIXED-POINT ITERATION * 152 4.6.2 APPLICATION: DIRICHLET-NEUMANN COUPLING FOR A TRANSMISSION PROBLEM * 153 4.6.3 TEST CASE: TRANSMISSION PROBLEM * 156 4.7 NUMERICAL RESULTS ----- 159 4.7.1 FLOW OVER A PLATE * 160 4.7.2 COOLING OF A FLANGED SHAFT * 161 4.8 SUMMARY AND CONCLUSIONS * 164 ULRICH LANGER AND HUIDONGYANG 5 RECENT DEVELOPMENT OF ROBUST MONOLITHIC FLUID-STRUCTURE INTERACTION SOLVERS * 169 5.1 INTRODUCTION * 169 5.2 BLOCK FACTORIZATION-BASED PRECONDITIONERS * 171 5.2.1 DIRECT LU DECOMPOSITION * 171 5.2.2 BLOCK-TRIANGULAR APPROXIMATIONS * 172 5.2.3 COMBINATION WITH PARALLEL PRECONDITIONERS * 173 5.2.4 THE AUGMENTATION PRECONDITIONER * 175 5.2.5 BLOCK /.(/-TYPE FACTORIZATION * 176 5.2.6 A LD U BLOCK FACTORIZATION ----- 177 5.3 GEOMETRIC MULTIGRID METHODS * 179 5.3.1 A VANKA-LIKE SMOOTHER * 179 5.3.2 A DIRICHLET-NEUMANN SMOOTHER* 179 5.4 ALGEBRAIC MULTIGRID METHODS * 180 5.4.1 SMOOTHED AGGREGATION MULTIGRID METHODS * 180 5.4.2 MATRIX-GRAPH-BASED ALGEBRAIC MULTIGRID METHODS * 181 5.5 DOMAIN DECOMPOSITION PRECONDITIONERS * 182 5.5.1 A RESTRICTED ADDITIVE SCHWARZ PRECONDITIONER* 182 5.5.2 A TWO-LEVEL SCHWARZ PRECONDITIONER * 182 5.6 SOME NUMERICAL STUDIES * 183 5.7 CONCLUSIONS ----- 186 DANIEL JODLBAUER AND THOMAS WICK 6 A MONOLITHIC FSI SOLVER APPLIED TO THE FSI 1,2,3 BENCHMARKS * 6.1 INTRODUCTION * 193 6.2 FSI EQUATIONS ----- 195 6.2.1 DOMAINS AND BOUNDARIES * 195 6.2.2 EQUATIONS * 197 6.2.3 DISCRETIZATION * 199 6.2.4 SUMMARY ----- 207 6.3 LINEAR SOLVERS * 209 6.3.1 DIRECT SOLVERS * 209 6.3.2 REORDERING SCHEMES * 210 6.3.3 ILU ------ 210 6.3.4 SCHUR COMPLEMENT* 213 6.3.5 GMRES ----- 213 6.3.6 MULTIGRID METHODS * 215 6.4 PRECONDITIONERS * 217 6.4.1 INTRODUCTION ----- 218 6.4.2 FIRST EXAMPLES ----- 218 6.4.3 LU-APPROACH ----- 220 6.4.4 SOLVING THE SUBPROBLEMS * 223 6.4.5 MESH------223 6.4.6 FLUID------223 6.4.7 SOLID ------ 224 6.5 NUMERICAL TESTS-FSI BENCHMARKS * 224 6.5.1 SETUP ------ 225 6.5.2 TEST 1: USING DIRECT SOLVERS FOR THE SUBPROBLEMS * 227 6.5.3 TEST 2: ITERATIVE SUBSOLVERS * 228 6.6 CONCLUSIONS AND FUTURE WORK * 231 6.6.1 CONCLUSIONS * 231 6.6.2 FUTURE WORK * 232 PART III: APPLICATIONS CLAUDIA M. COLCIAGO, SIMONE DEPARIS, AND DAVIDE FORTI 7 FLUID-STRUCTURE INTERACTION FOR VASCULAR FLOWS: FROM SUPERCOMPUTERS TO LAPTOPS * 237 7.1 INTRODUCTION * 238 7.1.1 OUTLINE * 243 7.2 MODELING FLUID-STRUCTURE INTERACTION IN MOVING DOMAINS * 243 7.2.1 FLUID-STRUCTURE INTERACTION MODELING* 244 7.2.2 WEAK FORMULATION * 246 7.2.3 FULLY IMPLICIT MONOLITHIC SCHEME * 247 7.2.4 ALGEBRAIC FORMULATION ----- 249 7.2.5 PRECONDITIONING BY FACSI------250 7.3 MODELING REDUCTION FOR FSI IN ARTERIES * 252 7.3.1 TRANSPIRATION CONDITIONS ------ 252 7.3.2 THIN-WALL MODEL ----- 253 7.3.3 WEAK FORMULATION OF THE REDUCED FLUID-STRUCTURE INTERACTION PROBLEM * 255 7.4 REDUCED-ORDER METHODS FOR REDUCED FLUID-STRUCTURE INTERACTION MODELS ----- 256 7.4.1 NUMERICAL REDUCTION * 256 7.4.2 PROPER ORTHOGONAL DECOMPOSITION ----- 257 7.5 FLUID-STRUCTURE INTERACTION IN A PATIENT-SPECIFIC AORTOFEMORAL ARTERY * 259 7.5.1 NUMERICAL RESULTS OBTAINED BY THE FULL THREE-DIMENSIONAL FSI MODEL * 262 7.5.2 NUMERICAL SIMULATION SETTING FOR THE RFSI * 265 7.5.3 COMPARISONS BETWEEN FSI AND RFSI * 271 7.6 CONCLUSIONS * 275 E. HARALD VAN BRUMMELEN, MAHNAZ SHOKRPOUR ROUDBARI, GOERKEM $IM§EK, AND KRISTOFFER G. VAN DER ZEE 8 BINARY-FLUID-SOLID INTERACTION BASED ON THE NAVIER-STOKES-CAHN-HILLIARD EQUATIONS * 283 8.1 INTRODUCTION ----- 283 8.2 PROBLEM STATEMENT ----- 285 8.2.1 NAVIER-STOKES-CAHN-HILLIARD BINARY-FLUID MODEL * 286 8.2.2 HYPERELASTIC ST. VENANT-KIRCHHOFF SOLID MODEL * 290 8.2.3 INTERFACE CONDITIONS ----- 291 8.3 WEAK FORMULATION * 293 8.3.1 ALE FORMULATION OF NSCH EQUATIONS ------ 293 8.3.2 INTERFACE CONDITIONS ----- 295 8.3.3 AMBIENT FUNCTION SPACES * 297 8.3.4 AGGREGATED WEAK FORMULATION * 301 8.4 PROPERTIES OF THE BINARY-FLUID-SOLID INTERACTION PROBLEM * 302 8.4.1 ENERGY DISSIPATION * 302 8.4.2 EQUILIBRIUM SOLUTIONS ----- 306 8.4.3 EQUILIBRIUM FLUID-FLUID INTERFACE PROFILE * 307 8.5 NUMERICAL APPROXIMATION METHODS * 311 8.5.1 SPATIAL AND TEMPORAL DISCRETIZATION * 311 8.5.2 PARTITIONED ITERATIVE SOLUTION METHOD * 314 8.6 NUMERICAL EXPERIMENTS * 316 8.6.1 EXPERIMENTAL SET-UP * 317 8.6.2 NUMERICAL RESULTS ----- 318 8.7 CONCLUSION ----- 323 THOMAS WICK 9 COUPLING FLUID-STRUCTURE INTERACTION WITH PHASE-FIELD FRACTURE: ALGORITHMIC DETAILS * 329 9.1 INTRODUCTION * 329 9.1.1 FLUID-STRUCTURE INTERACTION (FSI) * 330 9.1.2 PHASE-FIELD FRACTURE (PFF) * 331 9.1.3 COMBINING FSI AND PFF ----- 335 9.2 NOTATION, SPACES, VARIABLES, CONSTITUTIVE LAWS * 337 9.2.1 PHILOSOPHY ----- 337 9.2.2 NOTATION ----- 337 9.2.3 FUNCTION SPACES * 338 9.2.4 PARAMETERS, VARIABLES, VECTORS, TENSORS, AND CONSTITUTIVE LAWS * 339 9.3 THE FLUID-STRUCTURE INTERACTION PHASE-FIELD FRACTURE (FSI-PFF) MODEL * 340 9.3.1 THE FSI-PFF SYSTEM * 340 9.3.2 TREATMENT OF THE CRACK IRREVERSIBILITY CONSTRAINT * 341 9.3.3 FSI INTERFACE COUPLING CONDITIONS * 341 9.3.4 REMARKS ON PRESSURES * 342 9.4 DISCRETIZATION * 342 9.4.1 TIME STEPPING* 343 9.4.2 ADAPTIVE TIME-STEP CONTROL WITH RESPECT TO GOAL FUNCTIONALS * 345 9.4.3 SPATIAL DISCRETIZATION * 346 9.4.4 SOLUTION ALGORITHMS ----- 348 9.5 NUMERICAL EXAMPLES * 352 9.5.1 EXAMPLE 1: CONSTANT INFLOW * 354 9.5.2 EXAMPLE 2: SINUS INFLOW ----- 355 9.6 CONCLUSIONS AND FUTURE QUESTIONS * 356 INDEX * 367
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series	Radon series on computational and applied mathematics
series2	Radon series on computational and applied mathematics
spelling	Fluid-structure interaction modeling, adaptive discretisations and solvers edited by Stefan Frei [und weitere] Berlin De Gruyter [2017] XIV, 369 Seiten Illustrationen, Diagramme 25 cm txt rdacontent n rdamedia nc rdacarrier Radon series on computational and applied mathematics volume 20 Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Fluid-Struktur-Wechselwirkung (DE-588)4314754-9 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Hydromechanik (DE-588)4026312-5 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 2016 Linz gnd-content Fluid-Struktur-Wechselwirkung (DE-588)4314754-9 s Mathematisches Modell (DE-588)4114528-8 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Hydromechanik (DE-588)4026312-5 s Numerische Mathematik (DE-588)4042805-9 s 1\p DE-604 Frei, Stefan edt Walter de Gruyter GmbH & Co. KG (DE-588)10095502-2 pbl Erscheint auch als Online-Ausgabe, PDF 978-3-11-049425-9 Erscheint auch als Online-Ausgabe, EPUB 978-3-11-049258-3 Radon series on computational and applied mathematics volume 20 (DE-604)BV023335470 20 B:DE-101 application/pdf http://d-nb.info/1115352563/04 Inhaltsverzeichnis DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030127809&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Fluid-structure interaction modeling, adaptive discretisations and solvers Radon series on computational and applied mathematics Mathematisches Modell (DE-588)4114528-8 gnd Fluid-Struktur-Wechselwirkung (DE-588)4314754-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Hydromechanik (DE-588)4026312-5 gnd Numerische Mathematik (DE-588)4042805-9 gnd
subject_GND	(DE-588)4114528-8 (DE-588)4314754-9 (DE-588)4128130-5 (DE-588)4026312-5 (DE-588)4042805-9 (DE-588)1071861417
title	Fluid-structure interaction modeling, adaptive discretisations and solvers
title_auth	Fluid-structure interaction modeling, adaptive discretisations and solvers
title_exact_search	Fluid-structure interaction modeling, adaptive discretisations and solvers
title_full	Fluid-structure interaction modeling, adaptive discretisations and solvers edited by Stefan Frei [und weitere]
title_fullStr	Fluid-structure interaction modeling, adaptive discretisations and solvers edited by Stefan Frei [und weitere]
title_full_unstemmed	Fluid-structure interaction modeling, adaptive discretisations and solvers edited by Stefan Frei [und weitere]
title_short	Fluid-structure interaction
title_sort	fluid structure interaction modeling adaptive discretisations and solvers
title_sub	modeling, adaptive discretisations and solvers
topic	Mathematisches Modell (DE-588)4114528-8 gnd Fluid-Struktur-Wechselwirkung (DE-588)4314754-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Hydromechanik (DE-588)4026312-5 gnd Numerische Mathematik (DE-588)4042805-9 gnd
topic_facet	Mathematisches Modell Fluid-Struktur-Wechselwirkung Numerisches Verfahren Hydromechanik Numerische Mathematik Konferenzschrift 2016 Linz
url	http://d-nb.info/1115352563/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030127809&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV023335470
work_keys_str_mv	AT freistefan fluidstructureinteractionmodelingadaptivediscretisationsandsolvers AT walterdegruytergmbhcokg fluidstructureinteractionmodelingadaptivediscretisationsandsolvers

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