Holdings: Fluid dynamics with a computational perspective

Fluid dynamics with a computational perspective:

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Bibliographic Details
Main Authors:	Durbin, Paul A. (Author), Medic, Gorazd (Author)
Format:	Book
Language:	English
Published:	Cambridge [u.a.] Cambridge Univ. Press 2007
Edition:	1. publ.
Subjects:	Mathematik Fluid dynamics > Mathematics Numerische Strömungssimulation
Online Access:	Inhaltsverzeichnis Beschreibung für Leser Beschreibung für Leser Table of contents only Publisher description Contributor biographical information Inhaltsverzeichnis
Item Description:	Includes bibliographical references (p. 343) and index
Physical Description:	XII, 349 S. Ill., graph. Darst.
ISBN:	9780521850179 0521850177

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adam_text	FLUID DYNAMICS WITH A COMPUTATIONAL PERSPECTIVE PAUL A. DURBIN IOWA STATE UNIVERSITY GORAZD MEDIC STANFORD UNIVERSITY CAMBRIDGE UNIVERSITY PRESS CONTENTS PREFACE PAGE XI 1 INTRODUCTION TO VISCOUS FLOW 1 1.1 WHY STUDY FLUID DYNAMICS? 1 1.2 VISCOSITY 2 1.3 NAVIER-STOKES EQUATIONS 5 1.4 REYNOLDS NUMBER 10 1.5 PARALLEL FLOW APPROXIMATION 14 1.5.1 COUETTE-POISEUILLE FLOW 14 1.5.2 OSCILLATORY BOUNDARY LAYER 19 1.6 SOME BASICS 21 1.6.1 ONE-DIMENSIONAL CONSERVATION LAWS 22 1.6.2 BERNOULLI S EQUATION 24 1.6.3 UNSTEADYFLOW 29 1.7 SWIRL 31 1.7.1 COMPUTATION OF SWIRLING FLOW IN AN EXPANSION 34 1.8 VORTICITY AND ITS DYNAMICS 35 1.8.1 VORTEX KINEMATICS AND DYNAMICS 37 1.8.2 STRETCHING AND ROTATION 42 1.8.3 ORIGIN OF VORTICITY 44 1.8.4 CIRCULATION AND LIFT 46 1.8.5 DIFFUSION OF VORTICITY 49 1.8.6 VISUALIZATION OF VORTICES 52 1.9 TURBULENCE 55 2 ELEMENTS OF COMPUTATIONAL ANALYSIS 61 2.1 GEOMETRY AND GRID GENERATION 63 2.1.1 COMPUTATIONAL DOMAIN 63 2.1.2 DISCRETE REPRESENTATION OF THE GEOMETRY 67 2.1.3 STRUCTURED GRIDS 68 2.1.4 UNSTRUCTURED MESHES -- 72 2.1.5 MESHQUALITY ~ 74 2.2 COMPUTATION OF FLUID FLOW ^-~ * 78 2.2.1 DISCRETE EQUATIONS 79 2.2.2 CENTERED AND UPWIND DIFFERENCING 82 VII VIII CONTENTS 2.2.3 SOLVERS 86 2.2.4 BOUNDARY CONDITIONS 90 2.3 SOLUTIONX\|N-)ACCURACY 93 2.3.1 RESIDUAIS AND CONVERGENCE 93 2.3.2 GRID INDEPENDENCE 94 2.4 POSTPROCESSING AND VISUALIZATION 97 2.4.1 STREAMLINES 98 2.4.2 VECTORS AND CONTOURS 100 2.4.3 QUANTITATIVE DATA 102 2.5 PACKAGES AND CODES 103 3 CREEPING FLOW 108 3.1 THE LOW REYNOLDS NUMBER LIMIT 109 3.1.1 STOKES FLOW AROUND A SPHERE 111 3.1.2 RESISTANCE MATRIX 116 3.1.3 RESISTANCE DUE TO RELATIVE MOTION 119 3.1.4 COMPUTATION OF RESISTANCE COEFFICIENTS 120 3.1.5 EDDIES IN STOKES FLOW 122 3.2 HYDRODYNAMIC LUBRICATION 124 4 INTERMEDIATE REYNOLDS NUMBERS 132 4.1 SEPARATION, VORTICITY, AND VORTEX SHEDDING 132 4.1.1 FIVE EXAMPLES 133 4.1.2 SECONDARY CIRCULATION 151 4.2 WAKES, JETS, AND MIXING LAYERS 155 4.2.1 SCALING SHEAR LAYER EVOLUTION 156 4.2.2 ENTRAINMENT 159 4.2.3 FREE AND IMPINGING ROUND JETS 160 5 HIGH REYNOLDS NUMBER FLOW AND BOUNDARY LAYERS 167 5.1 FORMAL DEFINITION OF THE BOUNDARY LAYER 168 5.1.1 GROWTH OF THE BOUNDARY LAYER 172 5.1.2 PRESSURE GRADIENTS AND SEPARATION 175 5.1.3 GRIDDING 178 5.2 APPROXIMATE EQUATIONS 181 5.3 THREE-DIMENSIONAL BOUNDARY LAYERS 183 5.4 SEPARATION IN THREE DIMENSIONS AND CRITICAL POINTS 185 5.5 HIGH REYNOLDS NUMBER FLOW OVER A SPHEROID 188 5.6 POTENTIAL FLOW 191 5.6.1 POINT SOURCES 192 5.6.2 IMAGES 196 5.6.3 POINT VORTICES AND CIRCULATION 197 5.6.4 STREAM FUNCTION 199 5.6.5 ADDEDMASS 201 CONTENTS 6 TURBULENT FLOW 210 6.1 COMPUTATIONAL APPROACHES 211 6.2 STATISTICALLY AVERAGED METHOD 211 6.2.1 EDDY VISCOSITY MODEL 215 6.2.2 COMPUTED EXAMPLE 220 6.2.3 LIMITATIONS OF SCALAR EDDY VISCOSITY MODELS 222 6.3 TURBULENT SHEAR FLOWS 225 6.3.1 BOUNDARY LAYERS 225 6.3.2 WALL FUNCTIONS 233 6.3.3 FREE SHEAR LAYERS 236 6.3.4 COMPUTED AXISYMMETRIC JETS 237 6.4 EDDY SIMULATION 239 6.4.1 SPECTRUM OF TURBULENCE 239 6.4.2 DIRECT NUMERICAL SIMULATION 242 6.4.3 DNS OF ISOTROPIE TURBULENCE 244 6.4.4 APPROXIMATE SIMULATION OF LARGE EDDIES 246 6.5 INSTABILITY THEORY 254 6.5.1 INFLECTION POINT THEOREM 256 6.5.2 INSTABILITY IN BOUNDARY LAYERS 259 7 COMPRESSIBLE FLOW 264 7.1 THERMODYNAMICS 264 7.1.1 FIRST LAW 265 7.1.2 EQUATION OF STATE 266 7.1.3 ENTROPY AND IRREVERSIBILITY 266 7.1.4 FIRST LAW WITH FLOW 268 7.1.5 ISENTROPIC RELATIONS 270 7.2 MACH WAVES 271 7.2.1 SPEED OF SOUND 272 7.2.2 OCCURRENCE OF SHOCK WAVES 273 7.3 ONE-DIMENSIONAL GAS DYNAMICS 276 7.3.1 NORMAL SHOCK 276 7.3.2 SUPERSONIC FLOW OVER A HEMISPHERE 278 7.3.3 EXPANSION FAN 281 7.3.4 SUPERSONIC FLOW OVER A WEDGE 284 7.4 QUASI-ONE-DIMENSIONAL GAS DYNAMICS 286 7.4.1 SHOCK PATTERNS AND SHOCK-INDUCED SEPARATION 292 7.5 COMPUTATION OF COMPRESSIBLE FLOWS 300 8 INTERFACES 307 8.1 INTERFACE CONDITIONS 308 8.2 SURF ACE TENSION / 311 8.2.1 CAPILLARITY AND CONTACT ANGLE /C 314 8.2.2 DISINTEGRATION BY CAPILLARITY 316 8.2.3 SIMULATION OF CAPILLARY BREAKUP 320 X CONTENTS 8.3 INVISCID FREE SURFACE 321 8.3.1 GROUP VELOCITY AND ITS CONNECTION TO SURFACE EXCRESCENCE 323 8.3.2 SLOSHING 328 8.3.3 NUMERICAL SIMULATION OF SLOSHING 332 8.4 VOLUME OF FLUID METHOD 334 8.4.1 POUERTNGNAE VISCOUS LIQUID 336 BIBLIOGRAPHY 343 INDEX 345
adam_txt	FLUID DYNAMICS WITH A COMPUTATIONAL PERSPECTIVE PAUL A. DURBIN IOWA STATE UNIVERSITY GORAZD MEDIC STANFORD UNIVERSITY CAMBRIDGE UNIVERSITY PRESS CONTENTS PREFACE PAGE XI 1 INTRODUCTION TO VISCOUS FLOW 1 1.1 WHY STUDY FLUID DYNAMICS? 1 1.2 VISCOSITY 2 1.3 NAVIER-STOKES EQUATIONS 5 1.4 REYNOLDS NUMBER 10 1.5 PARALLEL FLOW APPROXIMATION 14 1.5.1 COUETTE-POISEUILLE FLOW 14 1.5.2 OSCILLATORY BOUNDARY LAYER 19 1.6 SOME BASICS 21 1.6.1 ONE-DIMENSIONAL CONSERVATION LAWS 22 1.6.2 BERNOULLI'S EQUATION 24 1.6.3 UNSTEADYFLOW 29 1.7 SWIRL 31 1.7.1 COMPUTATION OF SWIRLING FLOW IN AN EXPANSION 34 1.8 VORTICITY AND ITS DYNAMICS 35 1.8.1 VORTEX KINEMATICS AND DYNAMICS 37 1.8.2 STRETCHING AND ROTATION 42 1.8.3 ORIGIN OF VORTICITY 44 1.8.4 CIRCULATION AND LIFT 46 1.8.5 DIFFUSION OF VORTICITY 49 1.8.6 VISUALIZATION OF VORTICES 52 1.9 TURBULENCE 55 2 ELEMENTS OF COMPUTATIONAL ANALYSIS 61 2.1 GEOMETRY AND GRID GENERATION 63 2.1.1 COMPUTATIONAL DOMAIN 63 2.1.2 DISCRETE REPRESENTATION OF THE GEOMETRY 67 2.1.3 STRUCTURED GRIDS 68 2.1.4 UNSTRUCTURED MESHES --\ 72 2.1.5 MESHQUALITY ~ 74 2.2 COMPUTATION OF FLUID FLOW ^-~ * 78 2.2.1 DISCRETE EQUATIONS 79 2.2.2 CENTERED AND UPWIND DIFFERENCING 82 VII VIII CONTENTS 2.2.3 SOLVERS 86 2.2.4 BOUNDARY CONDITIONS 90 2.3 SOLUTIONX\|N-)ACCURACY 93 2.3.1 RESIDUAIS AND CONVERGENCE 93 2.3.2 GRID INDEPENDENCE 94 2.4 POSTPROCESSING AND VISUALIZATION 97 2.4.1 STREAMLINES 98 2.4.2 VECTORS AND CONTOURS 100 2.4.3 QUANTITATIVE DATA 102 2.5 PACKAGES AND CODES 103 3 CREEPING FLOW 108 3.1 THE LOW REYNOLDS NUMBER LIMIT 109 3.1.1 STOKES FLOW AROUND A SPHERE 111 3.1.2 RESISTANCE MATRIX 116 3.1.3 RESISTANCE DUE TO RELATIVE MOTION 119 3.1.4 COMPUTATION OF RESISTANCE COEFFICIENTS 120 3.1.5 EDDIES IN STOKES FLOW 122 3.2 HYDRODYNAMIC LUBRICATION 124 4 INTERMEDIATE REYNOLDS NUMBERS 132 4.1 SEPARATION, VORTICITY, AND VORTEX SHEDDING 132 4.1.1 FIVE EXAMPLES 133 4.1.2 SECONDARY CIRCULATION 151 4.2 WAKES, JETS, AND MIXING LAYERS 155 4.2.1 SCALING SHEAR LAYER EVOLUTION 156 4.2.2 ENTRAINMENT 159 4.2.3 FREE AND IMPINGING ROUND JETS 160 5 HIGH REYNOLDS NUMBER FLOW AND BOUNDARY LAYERS 167 5.1 FORMAL DEFINITION OF THE BOUNDARY LAYER 168 5.1.1 GROWTH OF THE BOUNDARY LAYER 172 5.1.2 PRESSURE GRADIENTS AND SEPARATION 175 5.1.3 GRIDDING 178 5.2 APPROXIMATE EQUATIONS 181 5.3 THREE-DIMENSIONAL BOUNDARY LAYERS 183 5.4 SEPARATION IN THREE DIMENSIONS AND CRITICAL POINTS 185 5.5 HIGH REYNOLDS NUMBER FLOW OVER A SPHEROID 188 5.6 POTENTIAL FLOW 191 5.6.1 POINT SOURCES 192 5.6.2 IMAGES 196 5.6.3 POINT VORTICES AND CIRCULATION 197 5.6.4 STREAM FUNCTION 199 5.6.5 ADDEDMASS 201 CONTENTS 6 TURBULENT FLOW 210 6.1 COMPUTATIONAL APPROACHES 211 6.2 STATISTICALLY AVERAGED METHOD 211 6.2.1 EDDY VISCOSITY MODEL 215 6.2.2 COMPUTED EXAMPLE 220 6.2.3 LIMITATIONS OF SCALAR EDDY VISCOSITY MODELS 222 6.3 TURBULENT SHEAR FLOWS 225 6.3.1 BOUNDARY LAYERS 225 6.3.2 WALL FUNCTIONS 233 6.3.3 FREE SHEAR LAYERS 236 6.3.4 COMPUTED AXISYMMETRIC JETS 237 6.4 EDDY SIMULATION 239 6.4.1 SPECTRUM OF TURBULENCE 239 6.4.2 DIRECT NUMERICAL SIMULATION 242 6.4.3 DNS OF ISOTROPIE TURBULENCE 244 6.4.4 APPROXIMATE SIMULATION OF LARGE EDDIES 246 6.5 INSTABILITY THEORY 254 6.5.1 INFLECTION POINT THEOREM 256 6.5.2 INSTABILITY IN BOUNDARY LAYERS 259 7 COMPRESSIBLE FLOW 264 7.1 THERMODYNAMICS 264 7.1.1 FIRST LAW 265 7.1.2 EQUATION OF STATE 266 7.1.3 ENTROPY AND IRREVERSIBILITY 266 7.1.4 FIRST LAW WITH FLOW 268 7.1.5 ISENTROPIC RELATIONS 270 7.2 MACH WAVES 271 7.2.1 SPEED OF SOUND 272 7.2.2 OCCURRENCE OF SHOCK WAVES 273 7.3 ONE-DIMENSIONAL GAS DYNAMICS 276 7.3.1 NORMAL SHOCK 276 7.3.2 SUPERSONIC FLOW OVER A HEMISPHERE 278 7.3.3 EXPANSION FAN 281 7.3.4 SUPERSONIC FLOW OVER A WEDGE 284 7.4 QUASI-ONE-DIMENSIONAL GAS DYNAMICS 286 7.4.1 SHOCK PATTERNS AND SHOCK-INDUCED SEPARATION 292 7.5 COMPUTATION OF COMPRESSIBLE FLOWS 300 8 INTERFACES 307 8.1 INTERFACE CONDITIONS 308 8.2 SURF ACE TENSION / 311 8.2.1 CAPILLARITY AND CONTACT ANGLE /C 314 8.2.2 DISINTEGRATION BY CAPILLARITY 316 8.2.3 SIMULATION OF CAPILLARY BREAKUP 320 X CONTENTS 8.3 INVISCID FREE SURFACE 321 8.3.1 GROUP VELOCITY AND ITS CONNECTION TO SURFACE EXCRESCENCE 323 8.3.2 SLOSHING 328 8.3.3 NUMERICAL SIMULATION OF SLOSHING 332 8.4 VOLUME OF FLUID METHOD 334 8.4.1 POUERTNGNAE VISCOUS LIQUID 336 BIBLIOGRAPHY 343 INDEX 345
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spelling	Durbin, Paul A. Verfasser aut Fluid dynamics with a computational perspective Paul A. Durbin ; Gorazd Medic 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2007 XII, 349 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references (p. 343) and index Mathematik Fluid dynamics Mathematics Numerische Strömungssimulation (DE-588)4690080-9 gnd rswk-swf Numerische Strömungssimulation (DE-588)4690080-9 s DE-604 Medic, Gorazd Verfasser aut http://catdir.loc.gov/catdir/toc/ecip0714/2007012221.html Inhaltsverzeichnis http://catdir.loc.gov/catdir/enhancements/fy0729/2007012221-d.html Beschreibung für Leser http://catdir.loc.gov/catdir/enhancements/fy0729/2007012221-b.html Beschreibung für Leser http://www.loc.gov/catdir/toc/ecip0714/2007012221.html Table of contents only http://www.loc.gov/catdir/enhancements/fy0729/2007012221-d.html Publisher description http://www.loc.gov/catdir/enhancements/fy0729/2007012221-b.html Contributor biographical information GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016305147&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Durbin, Paul A. Medic, Gorazd Fluid dynamics with a computational perspective Mathematik Fluid dynamics Mathematics Numerische Strömungssimulation (DE-588)4690080-9 gnd
subject_GND	(DE-588)4690080-9
title	Fluid dynamics with a computational perspective
title_auth	Fluid dynamics with a computational perspective
title_exact_search	Fluid dynamics with a computational perspective
title_exact_search_txtP	Fluid dynamics with a computational perspective
title_full	Fluid dynamics with a computational perspective Paul A. Durbin ; Gorazd Medic
title_fullStr	Fluid dynamics with a computational perspective Paul A. Durbin ; Gorazd Medic
title_full_unstemmed	Fluid dynamics with a computational perspective Paul A. Durbin ; Gorazd Medic
title_short	Fluid dynamics with a computational perspective
title_sort	fluid dynamics with a computational perspective
topic	Mathematik Fluid dynamics Mathematics Numerische Strömungssimulation (DE-588)4690080-9 gnd
topic_facet	Mathematik Fluid dynamics Mathematics Numerische Strömungssimulation
url	http://catdir.loc.gov/catdir/toc/ecip0714/2007012221.html http://catdir.loc.gov/catdir/enhancements/fy0729/2007012221-d.html http://catdir.loc.gov/catdir/enhancements/fy0729/2007012221-b.html http://www.loc.gov/catdir/toc/ecip0714/2007012221.html http://www.loc.gov/catdir/enhancements/fy0729/2007012221-d.html http://www.loc.gov/catdir/enhancements/fy0729/2007012221-b.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016305147&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT durbinpaula fluiddynamicswithacomputationalperspective AT medicgorazd fluiddynamicswithacomputationalperspective

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