Lagrangian fluid dynamics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2006
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| Series: | Cambridge monographs on mechanics
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | xxii, 286 Seiten Diagramme |
| ISBN: | 9780521853101 0521853109 |
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Record in the Search Index
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| adam_text | LAGRANGIAN FLUID DYNAMICS ANDREW BENNETT COLLEGE OF OCEANIC AND
ATMOSPHERIC SCIENCES OREGON STATE UNIVERSITY CORVALLIS, USA CAMBRIDGE
UNIVERSITY PRESS CONTENTS PREFACE PAGE XIII ACKNOWLEDGMENTS XXI PART I:
THE LAGRANGIAN FORMULATION 1 1 2 3 LAGRANGIAN KINEMATICS 1.1
CONSERVATION OF PARTICLE IDENTITY 1.2 STREAKLINES, STREAMLINES AND
STEADY FLOW 1.3 LOCAL KINEMATICS LAGRANGIAN STATISTICS 2.1
SINGLE-PARTICLE, SINGLE-TIME STATISTICS 2.2 SINGLE-PARTICLE, TWO-TIME
STATISTICS 2.3 TWO-PARTICLE, TWO-TIME STATISTICS 2.4 THE
EULERIAN-LAGRANGIAN PROBLEM: PATH INTEGRALS LAGRANGIAN DYNAMICS 3.1
CONSERVATION OF MASS 3.2 CONSERVATION OF MOMENTUM 3.3 CONSERVATION OF
ENERGY 3.4 VARIATIONAL PRINCIPLE 3.5 BERNOULLI S THEOREM 3.6 KELVIN S
THEOREM 3.7 CAUCHY-WEBER INTEGRALS 3.7.1 FIRST INTEGRALS 3.7.2 MATRIX
FORMULATION 3.7.3 CAUCHY-WEBER INTEGRALS AND CLEBSCH POTENTIALS 5 5 11
13 16 16 20 21 21 25 25 26 30 32 33 34 36 36 39 40 CONTENTS 3.8
POTENTIAL FLOW AND A RIEMANNIAN METRIC 41 3.9 BOUNDARY CONDITIONS 43
3.9.1 RIGID BOUNDARIES 43 3.9.2 COMOVING BOUNDARIES 43 3.9.3 COMOVING
BOUNDARY CONDITIONS 44 3.9.4 ADJACENT LAGRANGIAN COORDINATES 48 3.10
LOCAL DYNAMICS 48 3.11 RELABELING SYMMETRY 50 3.12 HISTORICAL NOTE 55 4
COORDINATES 56 4.1 INDEPENDENT VARIABLES 56 4.2 DEPENDENT SPACE
VARIABLES 57 4.3 ROTATIONAL SYMMETRY 59 4.3.1 GLOBALLY UNIFORM ROTATIONS
59 4.3.2 TIME-VARYING ROTATIONS 59 5 REAL FLUIDS 62 5.1 VISCOUS STRESSES
AND HEAT CONDUCTION 62 5.2 NAVIER-STOKES EQUATIONS FOR INCOMPRESSIBLE
FLOW 62 5.3 MATRIX FORMULATION FOR VISCOUS INCOMPRESSIBLE FLOW 64 5.4
BOUNDARY CONDITIONS 65 PART II: LAGRANGIAN FLOWS 67 6 SOME ANALYTICAL
LAGRANGIAN SOLUTIONS 71 6.1 FLOW AROUND A CYLINDER 71 6.2 GERSTNER S
TROCHOIDAL WAVE 72 6.3 ONE-DIMENSIONAL GAS DYNAMICS 76 6.3.1
ONE-DIMENSIONAL TRAVELING WAVES 76 6.3.2 RIEMANN INVARIANTS 77 6.3.3
ARBITRARY ONE-DIMENSIONAL FLOW 77 6.4 PLANE POISEUILLE FLOW 78 7 SOUND
WAVES, SHEAR INSTABILITIES, ROSSBY WAVES AND PTOLEMAIC VORTICES 79 7.1
SOUND WAVES 79 7.2 HYDRODYNAMIC STABILITY 80 7.3 ROSSBY WAVES 82 7.4
HAMILTONIAN DYNAMICS OF ROSSBY WAVES 87 CONTENTS IX 7.5 PLANE PTOLEMAIC
VORTICES 88 7.6 SHEARED PTOLEMAIC VORTICES 91 8 VISCOUS INCOMPRESSIBLE
FLOW 94 8.1 SIMPLE SHEAR FLOW 94 8.2 THE SUDDENLY ACCELERATED PLANE
WALL: STOKES FIRST PROBLEM 95 8.3 FLOW NEAR AN OSCILLATING FLAT PLATE:
STOKES SECOND PROBLEM 96 8.4 THE BOUNDARY LAYER ALONG A FLAT PLATE 97 9
GENERAL SOLVABILITY 99 9.1 KINEMATICS 99 9.2 INCOMPRESSIBLE DYNAMICS (1)
99 9.3 INCOMPRESSIBLE DYNAMICS (2) 102 9.4 INCOMPRESSIBLE DYNAMICS (3)
103 9.5 COMPRESSIBLE DYNAMICS 105 9.6 LABELING SINGULARITIES 107 9.7
PHENOMENOLOGY 108 9.8 VISCOUS INCOMPRESSIBLE FLOW 110 9.8.1 EQUATIONS OF
MOTION 111 9.8.2 PICARD ITERATION 112 9.8.3 A PRIORI BOUNDS 113 9.8.4
THE VISCOUS OPERATOR 113 9.8.5 THE ELLIPTIC OPERATOR 1 15 PART III:
DIFFUSION 117 10 ABSOLUTE DISPERSION 123 10.1 DISPLACEMENT: FIRST AND
SECOND MOMENTS 123 10.2 DISPLACEMENT PDF 125 10.3 FORWARD CLOSURE,
BOUNDARY CONDITIONS 127 10.4 BACKWARD CLOSURE, SCALAR CONCENTRATIONS 131
10.5 REVERSIBILITY FOR INCOMPRESSIBLE FLOW; THE MARKOV PROPERTY,
CORRSIN S HYPOTHESES 133 10.6 SCALAR CONCENTRATIONS IN COMPRESSIBLE
FLOW; FLOATS, SURFACE DRIFTERS AND BALLOONS 137 10.7 CORRECTIONS 138
10.8 RANDOM FLIGHT MODELS AND PLANKTON DYNAMICS 141 10.9 ANNUAL PLANKTON
PATCHINESS 143 CONTENTS 11 RELATIVE DISPERSION 146 11.1 JOINT
DISPLACEMENT OF A PAIR OF PARTICLES 146 11.2 SEPARATION OF A PAIR OF
PARTICLES 150 11.3 RICHARDSON S SELF-SIMILAR ASYMPTOTIC SOLUTION 153
11.4 LUNDGREN S LOG NORMAL SOLUTION 155 11.5 OBSERVATIONS OF DISPERSION
158 11.6 KINETIC ENERGY SUBRANGES 162 11.7 KINETIC ENERGY SPECTRA AND
STRUCTURE FUNCTIONS 167 11.8 KINETIC ENERGY SPECTRA AND LONGITUDINAL
DIFFUSIVITIES 170 12 CONVECTIVE SUBRANGES OF THE SCALAR VARIANCE
SPECTRUM 177 12.1 SCALAR COVARIANCE 177 12.2 REVERSIBILITY 179 12.3
POWER SPECTRA 179 12.4 ENSTROPHY INERTIA CONVECTIVE SUBRANGE 181 12.5
ENERGY INERTIA CONVECTIVE SUBRANGE 182 12.6 VISCOUS CONVECTIVE SUBRANGE
185 12.7 TRANSITION 186 12.8 RELATIVE DISPERSION AND PLANKTON PATCHINESS
188 13 DIFFUSION 191 13.1 SCALAR DIFFUSION: AN APPROXIMATE GENERAL
SOLUTION 191 13.2 VARIANCE SPECTRUM 194 13.3 ENSTROPHY INERTIA DIFFUSIVE
SUBRANGE 196 13.4 ENERGY INERTIA DIFFUSIVE SUBRANGE 198 13.5 VISCOUS
DIFFUSIVE SUBRANGE 200 PART IV: LAGRANGIAN DATA 207 14 OBSERVING SYSTEMS
211 14.1 THE LABORATORY 211 14.2 THE ATMOSPHERE 212 14.3 THE OCEAN
SURFACE 212 14.4 THE DEEP OCEAN 214 15 DATA ANALYSIS: THE SINGLE
PARTICLE 216 15.1 TIME SERIES ANALYSIS: THE SINGLE PARTICLE 216 15.1.1
POLARIZATION OF LAGRANGIAN VELOCITIES 216 15.1.2 DIFFUSIVITIES FROM
FLOATS 221 CONTENTS XI 15.2 ASSIMILATION: THE SINGLE PARTICLE 228 15.2.1
LAGRANGIAN MEASUREMENT FUNCTIONAL 229 15.2.2 LAGRANGIAN ASSIMILATION:
FIRST STEPS 232 16 DATA ANALYSIS: PARTICLE CLUSTERS 238 16.1 TIME SERIES
ANALYSIS: THE PARTICLE PAIR 238 16.2 ASSIMILATION: PARTICLE CLUSTERS 241
16.2.1 EULERIAN KINEMATICAL ANALYSIS 241 16.2.2 LAGRANGIAN DYNAMICAL
ANALYSIS: SHALLOW-WATER THEORY 246 16.2.3 LAGRANGIAN DYNAMICAL ANALYSIS:
BOUSSINESQ THEORY 253 16.2.4 LEAST-SQUARES ESTIMATOR 257 REFERENCES 259
SUBJECT INDEX 271 AUTHOR INDEX 283
|
| adam_txt |
LAGRANGIAN FLUID DYNAMICS ANDREW BENNETT COLLEGE OF OCEANIC AND
ATMOSPHERIC SCIENCES OREGON STATE UNIVERSITY CORVALLIS, USA CAMBRIDGE
UNIVERSITY PRESS CONTENTS PREFACE PAGE XIII ACKNOWLEDGMENTS XXI PART I:
THE LAGRANGIAN FORMULATION 1 1 2 3 LAGRANGIAN KINEMATICS 1.1
CONSERVATION OF PARTICLE IDENTITY 1.2 STREAKLINES, STREAMLINES AND
STEADY FLOW 1.3 LOCAL KINEMATICS LAGRANGIAN STATISTICS 2.1
SINGLE-PARTICLE, SINGLE-TIME STATISTICS 2.2 SINGLE-PARTICLE, TWO-TIME
STATISTICS 2.3 TWO-PARTICLE, TWO-TIME STATISTICS 2.4 THE
EULERIAN-LAGRANGIAN PROBLEM: PATH INTEGRALS LAGRANGIAN DYNAMICS 3.1
CONSERVATION OF MASS 3.2 CONSERVATION OF MOMENTUM 3.3 CONSERVATION OF
ENERGY 3.4 VARIATIONAL PRINCIPLE 3.5 BERNOULLI'S THEOREM 3.6 KELVIN'S
THEOREM 3.7 CAUCHY-WEBER INTEGRALS 3.7.1 FIRST INTEGRALS 3.7.2 MATRIX
FORMULATION 3.7.3 CAUCHY-WEBER INTEGRALS AND CLEBSCH POTENTIALS 5 5 11
13 16 16 20 21 21 25 25 26 30 32 33 34 36 36 39 40 CONTENTS 3.8
POTENTIAL FLOW AND A RIEMANNIAN METRIC 41 3.9 BOUNDARY CONDITIONS 43
3.9.1 RIGID BOUNDARIES 43 3.9.2 COMOVING BOUNDARIES 43 3.9.3 COMOVING
BOUNDARY CONDITIONS 44 3.9.4 ADJACENT LAGRANGIAN COORDINATES 48 3.10
LOCAL DYNAMICS 48 3.11 RELABELING SYMMETRY 50 3.12 HISTORICAL NOTE 55 4
COORDINATES 56 4.1 INDEPENDENT VARIABLES 56 4.2 DEPENDENT SPACE
VARIABLES 57 4.3 ROTATIONAL SYMMETRY 59 4.3.1 GLOBALLY UNIFORM ROTATIONS
59 4.3.2 TIME-VARYING ROTATIONS 59 5 REAL FLUIDS 62 5.1 VISCOUS STRESSES
AND HEAT CONDUCTION 62 5.2 NAVIER-STOKES EQUATIONS FOR INCOMPRESSIBLE
FLOW 62 5.3 MATRIX FORMULATION FOR VISCOUS INCOMPRESSIBLE FLOW 64 5.4
BOUNDARY CONDITIONS 65 PART II: LAGRANGIAN FLOWS 67 6 SOME ANALYTICAL
LAGRANGIAN SOLUTIONS 71 6.1 FLOW AROUND A CYLINDER 71 6.2 GERSTNER'S
TROCHOIDAL WAVE 72 6.3 ONE-DIMENSIONAL GAS DYNAMICS 76 6.3.1
ONE-DIMENSIONAL TRAVELING WAVES 76 6.3.2 RIEMANN INVARIANTS 77 6.3.3
ARBITRARY ONE-DIMENSIONAL FLOW 77 6.4 PLANE POISEUILLE FLOW 78 7 SOUND
WAVES, SHEAR INSTABILITIES, ROSSBY WAVES AND PTOLEMAIC VORTICES 79 7.1
SOUND WAVES 79 7.2 HYDRODYNAMIC STABILITY 80 7.3 ROSSBY WAVES 82 7.4
HAMILTONIAN DYNAMICS OF ROSSBY WAVES 87 CONTENTS IX 7.5 PLANE PTOLEMAIC
VORTICES 88 7.6 SHEARED PTOLEMAIC VORTICES 91 8 VISCOUS INCOMPRESSIBLE
FLOW 94 8.1 SIMPLE SHEAR FLOW 94 8.2 THE SUDDENLY ACCELERATED PLANE
WALL: STOKES' FIRST PROBLEM 95 8.3 FLOW NEAR AN OSCILLATING FLAT PLATE:
STOKES' SECOND PROBLEM 96 8.4 THE BOUNDARY LAYER ALONG A FLAT PLATE 97 9
GENERAL SOLVABILITY 99 9.1 KINEMATICS 99 9.2 INCOMPRESSIBLE DYNAMICS (1)
99 9.3 INCOMPRESSIBLE DYNAMICS (2) 102 9.4 INCOMPRESSIBLE DYNAMICS (3)
103 9.5 COMPRESSIBLE DYNAMICS 105 9.6 LABELING SINGULARITIES 107 9.7
PHENOMENOLOGY 108 9.8 VISCOUS INCOMPRESSIBLE FLOW 110 9.8.1 EQUATIONS OF
MOTION 111 9.8.2 PICARD ITERATION 112 9.8.3 A PRIORI BOUNDS 113 9.8.4
THE VISCOUS OPERATOR 113 9.8.5 THE ELLIPTIC OPERATOR 1 15 PART III:
DIFFUSION 117 10 ABSOLUTE DISPERSION 123 10.1 DISPLACEMENT: FIRST AND
SECOND MOMENTS 123 10.2 DISPLACEMENT PDF 125 10.3 FORWARD CLOSURE,
BOUNDARY CONDITIONS 127 10.4 BACKWARD CLOSURE, SCALAR CONCENTRATIONS 131
10.5 REVERSIBILITY FOR INCOMPRESSIBLE FLOW; THE MARKOV PROPERTY,
CORRSIN'S HYPOTHESES 133 10.6 SCALAR CONCENTRATIONS IN COMPRESSIBLE
FLOW; FLOATS, SURFACE DRIFTERS AND BALLOONS 137 10.7 CORRECTIONS 138
10.8 RANDOM FLIGHT MODELS AND PLANKTON DYNAMICS 141 10.9 ANNUAL PLANKTON
PATCHINESS 143 CONTENTS 11 RELATIVE DISPERSION 146 11.1 JOINT
DISPLACEMENT OF A PAIR OF PARTICLES 146 11.2 SEPARATION OF A PAIR OF
PARTICLES 150 11.3 RICHARDSON'S SELF-SIMILAR ASYMPTOTIC SOLUTION 153
11.4 LUNDGREN'S LOG NORMAL SOLUTION 155 11.5 OBSERVATIONS OF DISPERSION
158 11.6 KINETIC ENERGY SUBRANGES 162 11.7 KINETIC ENERGY SPECTRA AND
STRUCTURE FUNCTIONS 167 11.8 KINETIC ENERGY SPECTRA AND LONGITUDINAL
DIFFUSIVITIES 170 12 CONVECTIVE SUBRANGES OF THE SCALAR VARIANCE
SPECTRUM 177 12.1 SCALAR COVARIANCE 177 12.2 REVERSIBILITY 179 12.3
POWER SPECTRA 179 12.4 ENSTROPHY INERTIA CONVECTIVE SUBRANGE 181 12.5
ENERGY INERTIA CONVECTIVE SUBRANGE 182 12.6 VISCOUS CONVECTIVE SUBRANGE
185 12.7 TRANSITION 186 12.8 RELATIVE DISPERSION AND PLANKTON PATCHINESS
188 13 DIFFUSION 191 13.1 SCALAR DIFFUSION: AN APPROXIMATE GENERAL
SOLUTION 191 13.2 VARIANCE SPECTRUM 194 13.3 ENSTROPHY INERTIA DIFFUSIVE
SUBRANGE 196 13.4 ENERGY INERTIA DIFFUSIVE SUBRANGE 198 13.5 VISCOUS
DIFFUSIVE SUBRANGE 200 PART IV: LAGRANGIAN DATA 207 14 OBSERVING SYSTEMS
211 14.1 THE LABORATORY 211 14.2 THE ATMOSPHERE 212 14.3 THE OCEAN
SURFACE 212 14.4 THE DEEP OCEAN 214 15 DATA ANALYSIS: THE SINGLE
PARTICLE 216 15.1 TIME SERIES ANALYSIS: THE SINGLE PARTICLE 216 15.1.1
POLARIZATION OF LAGRANGIAN VELOCITIES 216 15.1.2 DIFFUSIVITIES FROM
FLOATS 221 CONTENTS XI 15.2 ASSIMILATION: THE SINGLE PARTICLE 228 15.2.1
LAGRANGIAN MEASUREMENT FUNCTIONAL 229 15.2.2 LAGRANGIAN ASSIMILATION:
FIRST STEPS 232 16 DATA ANALYSIS: PARTICLE CLUSTERS 238 16.1 TIME SERIES
ANALYSIS: THE PARTICLE PAIR 238 16.2 ASSIMILATION: PARTICLE CLUSTERS 241
16.2.1 EULERIAN KINEMATICAL ANALYSIS 241 16.2.2 LAGRANGIAN DYNAMICAL
ANALYSIS: SHALLOW-WATER THEORY 246 16.2.3 LAGRANGIAN DYNAMICAL ANALYSIS:
BOUSSINESQ THEORY 253 16.2.4 LEAST-SQUARES ESTIMATOR 257 REFERENCES 259
SUBJECT INDEX 271 AUTHOR INDEX 283 |
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| id | DE-604.BV020857404 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T13:21:48Z |
| indexdate | 2024-07-09T20:26:47Z |
| institution | BVB |
| isbn | 9780521853101 0521853109 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014179017 |
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| physical | xxii, 286 Seiten Diagramme |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge monographs on mechanics |
| spelling | Bennett, Andrew F. Verfasser aut Lagrangian fluid dynamics Andrew Bennett Cambridge Cambridge University Press 2006 xxii, 286 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Cambridge monographs on mechanics Hier auch später erschienene, unveränderte Nachdrucke Strömungsmechanik - Lagrange-Darstellung <Strömungsmechanik> Fluid dynamics Lagrange equations Lagrange-Darstellung Strömungsmechanik (DE-588)4415372-7 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 s Lagrange-Darstellung Strömungsmechanik (DE-588)4415372-7 s DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014179017&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bennett, Andrew F. Lagrangian fluid dynamics Strömungsmechanik - Lagrange-Darstellung <Strömungsmechanik> Fluid dynamics Lagrange equations Lagrange-Darstellung Strömungsmechanik (DE-588)4415372-7 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| subject_GND | (DE-588)4415372-7 (DE-588)4077970-1 |
| title | Lagrangian fluid dynamics |
| title_auth | Lagrangian fluid dynamics |
| title_exact_search | Lagrangian fluid dynamics |
| title_exact_search_txtP | Lagrangian fluid dynamics |
| title_full | Lagrangian fluid dynamics Andrew Bennett |
| title_fullStr | Lagrangian fluid dynamics Andrew Bennett |
| title_full_unstemmed | Lagrangian fluid dynamics Andrew Bennett |
| title_short | Lagrangian fluid dynamics |
| title_sort | lagrangian fluid dynamics |
| topic | Strömungsmechanik - Lagrange-Darstellung <Strömungsmechanik> Fluid dynamics Lagrange equations Lagrange-Darstellung Strömungsmechanik (DE-588)4415372-7 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| topic_facet | Strömungsmechanik - Lagrange-Darstellung <Strömungsmechanik> Fluid dynamics Lagrange equations Lagrange-Darstellung Strömungsmechanik Strömungsmechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014179017&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT bennettandrewf lagrangianfluiddynamics |