Physics of lakes
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| Format: | Buch |
| Sprache: | English |
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Berlin ; Heidelberg [u.a.]
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| Schriftenreihe: | Advances in geophysical and environmental mechanics and mathematics : AGEM2
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| 044 | |a gw |c XA-DE-BE | ||
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| 100 | 1 | |a Hutter, Kolumban |d 1941- |e Verfasser |0 (DE-588)121218694 |4 aut | |
| 245 | 1 | 0 | |a Physics of lakes |c Kolumban Hutter ; Yongqi Wang ; Irina P. Chubarenko |
| 264 | 1 | |a Berlin ; Heidelberg [u.a.] |b Springer | |
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Advances in geophysical and environmental mechanics and mathematics : AGEM2 | |
| 650 | 0 | 7 | |a Limnologie |0 (DE-588)4035769-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Limnologie |0 (DE-588)4035769-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Wang, Yongqi |d 1964- |e Verfasser |0 (DE-588)123686458 |4 aut | |
| 700 | 1 | |a Chubarenko, Irina P. |e Verfasser |4 aut | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021177194&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-021177194 | |
Datensatz im Suchindex
| _version_ | 1819601358554136576 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
11 THE ROLE OF THE EARTH S ROTATION: FUNDAMENTALS - ROTATION AND
STRATIFICATION INFLUENCED DYNAMICS 1
11.1 ESTIMATIONS BY DIMENSIONAL REASONING 1
11.1.1 TRIBUTARY AFFECTED ADVECTION 2
11.1.2 WIND-INDUCED CIRCULATION 3
11.1.3 BAROTROPIC AND BAROCLINIC WAVE DYNAMICS 4
11.2 ROTATION INFLUENCED SHALLOW WATER WAVES 6
11.3 A BRIEF CLASSIFICATION OF ROSSBY WAVES 13
11.4 PLANE LINEAR WAVES IN A ROTATING STRATIFIED FLUID 19
11.4.1 WAVES IN A LINEARLY STRATIFIED ROTATING UNBOUNDED BOUSSINESQ
FLUID 20
11.4.2 WAVES IN A STABLY STRATIFIED SHALLOW LAYER OF A BOUSSINESQ FLUID
28
11.4.3 THE TWO-LAYER MODEL 39
11.5 CONCLUDING DISCUSSION 46
REFERENCES 48
12 THE ROLE OF THE EARTH S ROTATION: OSCILLATIONS IN SEMI-BOUNDED AND
BOUNDED BASINS OF CONSTANT DEPTH 49 12.1 MOTIVATION 49
12.2 KELVIN WAVES 50
12.2.1 PSEUDO-STANDING KELVIN WAVES 55
12.2.2 BAROCLINIC KELVIN WAVES 58
12.3 INERTIAL WAVES 60
12.4 POINCARE WAVES 62
12.5 REFLECTION FROM THE END OF A CHANNEL WALL 70
12.6 SHALLOW WATER WAVES IN A RECTANGLE OF CONSTANT DEPTH 73 12.6.1
FREQUENCY RELATION 77
12.6.2 MODAL STRUCTURE 81
12.6.3 ADDITIONAL RESULTS 85
XLIX
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1009387928
DIGITALISIERT DURCH
IMAGE 2
1 CONTENTS
12.7 A SECOND-CLASS OF INERTIAL WAVES: INERTIAL WAVES PROPER 87
12.7.1 GOVERNING EQUATIONS 88
12.7.2 PLANE INERTIAL SVERDRUP (POINCARE) WAVES 91
12.7.3 INERTIAL KELVIN WAVES 92
12.7.4 INERTIAL POINCARE WAVES IN A CHANNEL 94
12.7.5 INERTIAL POINCARE CHANNEL WAVES REFLECTING FROM A VERTICAL WALL
96
12.7.6 INERTIAL WAVES IN RECTANGULAR BASIN OF CONSTANT DEPTH 98
12.7.7 DISCUSSION 101
12.8 CONCLUDING DISCUSSION 103
12.9 APPENDIX: SOLUTION SCHEME OF PROUDMAN-RAO TO SOLVE (12.1).... 104
REFERENCES I LL
13 BASIN-SCALE GRAVITY WAVES IN CIRCULAR AND ELLIPTICAL CONTAINERS ON
THE ROTATING EARTH 115
13.1 MOTIVATION 115
13.2 CONCEPTUAL PREREQUISITES 117
13.3 CIRCULAR CYLINDRICAL GEOMETRY 118
13.4 THREE-LAYER STRATIFICATION - LAKE KINNERET TREATED AS A CIRCULAR
CYLINDER OF CONSTANT DEPTH 123
13.5 ELLIPTICAL CYLINDRICAL CONTAINER 129
13.6 MATHIEU FUNCTIONS 131
13.7 ELLIPTICAL BASIN: NORMAL MODE ANALYSIS 135
13.8 EXPERIMENTAL VERIFICATION 147
13.9 DISCUSSION 151
REFERENCES 153
14 BAROTROPIC AND BAROCLINIC BASIN-SCALE WAVE DYNAMICS AFFECTED BY THE
ROTATION OF THE EARTH 155
14.1 INTRODUCTION 155
14.2 BAROTROPIC BASIN-WIDE OSCILLATIONS OF LAKE MICHIGAN 157 14.3
INTERNAL SEICHE DYNAMICS IN LAKE GENEVA 164
14.3.1 INTRODUCTION 164
14.3.2 LAKE MORPHOLOGY AND DATA HANDLING 165
14.3.3 MODEL EQUATIONS 166
14.3.4 MODAL ANALYSIS FOR THE TEDM 168
14.3.5 MODAL ANALYSIS FOR THE TCDM 172
14.3.6 INTERNAL WAVE DYNAMICS REVEALED BY SURFACE LEVEL DATA 173
14.4 TRANSVERSE INTERNAL WAVE MOTION IN LAKE UEBERLINGEN 179 14.4.1
STATEMENT OF THE PROBLEM 179
14.4.2 OBSERVATIONS DURING THE BODENSEE-EXPERIMENT 1972 179
14.4.3 NUMERICAL SOLUTION FOR THE TVD MODEL WITH REALISTIC BOTTOM
TOPOGRAPHY 182
IMAGE 3
CONTENTS LI
14.5 LAKE BIWA 186
14.6 CONCLUDING DISCUSSION 190
REFERENCES 192
15 HIGHER-ORDER BAROCLINICITY (I): TWO FLUID LAYERS WITH DIFFUSE
INTERFACE - THREE FLUID LAYERS WITH SHARP INTERFACES .... 197 15.1
MOTIVATION AND REVIEW 197
A. LABORATORY EXPERIMENTS ON BAROCLINIC SOLITARY WAVES IN A TWO-LAYER
FLUID SYSTEM WITH DIFFUSIVE INTERFACE 199 15.2 EXPERIMENTAL SET-UP AND
WAVE GENERATION 199
15.2.1 THE WAVE CHANNEL 199
15.2.2 SOLITARY WAVE GENERATION AND MEASURING TECHNIQUE 199 15.2.3 ERROR
ESTIMATION 202
15.3 THE EXPERIMENTS 202
15.3.1 TYPICAL EXPERIMENTAL DATA 203
15.3.2 RESULTS 208
15.4 ANALYTICAL MODELS FOR THE EVOLUTION OF BAROCLINIC WAVES 212 15.4.1
EQUATIONS 212
15.4.2 BAROCLINIC MODES FOR A TWO-LAYER SYSTEM WITH DIFFUSE INTERFACE
216
15.4.3 RESULTS OF THE NUMERICAL MODELING 219
B. THREE-LAYER MODEL OF THE NORTH BASIN OF THE LAKE OF LUGANO 224 15.5
THE THERMO-CHEMICAL DENSITY STRUCTURE OF THE NORTH BASIN OF LAKE OF
LUGANO 225
15.6 LINEAR WAVE DYNAMICS OF THE THREE-LAYER MODEL 229 15.7
COMPUTATIONAL RESULTS AND THEIR COMPARISON WITH FIELD DATA 233 15.7.1
MODEL 234
15.7.2 MODE 2 240
15.7.3 MODE 3 242
15.7.4 MODES 4 AND 5 244
15.8 MODEL SENSITIVITY 245
15.9 INFERENCES 246
15.10 SUMMARY 247
REFERENCES 248
16 HIGHER-ORDER BAROCLINICITY (II): INTERPRETATION OF LAKE DATA WITH
ROTATING AND NON-ROTATING MODELS 251
16.1 V2-VERTICAL MODE OF THE INTERNAL SEICHE IN LAKE ALPNACH 252 16.1.1
OBSERVATIONS 253
16.1.2 SEICHE ANALYSIS 254
16.2 INTERNAL SEICHE CLIMATE IN LAKE BANYOLES, CATALONIA (SPAIN) 258
16.2.1 DESCRIPTION OF THE SITE 259
16.2.2 METHODS OF COMPUTATION AND DATA ANALYSIS 260 16.2.3 RESULTS 261
IMAGE 4
HI CONTENTS
16.3 INTERNAL WAVE WEATHER IN STRATIFIED LAKE BIWA 267
16.3.1 METHODOLOGY AND OVERVIEW OF FIELD RESULTS 267 16.4 BASIN-SCALE
WAVE MOTION IN LAKE CONSTANCE 274
16.4.1 MORPHOLOGY AND METHODOLOGY 274
16.4.2 INTERPRETATION OF THE OBSERVATIONS 278
16.5 CLOSING REMARKS 281
REFERENCES 284
17 BAROTROPIC OSCILLATIONS IN LAKE ONEGA: A LAKE OF COMPLEX GEOMETRY 287
17.1 LAKE MORPHOLOGY AND FIRST INTERPRETATIONS OF WATER LEVEL
MEASUREMENTS 287
17.2 MEASURED WATER-LEVEL FLUCTUATIONS AND WATER CURRENTS AT ISOLATED
POINTS 291
17.3 THE BAROTROPIC EIGENVALUE PROBLEM 296
17.4 NUMERICAL RESULTS AND THEIR COMPARISON WITH OBSERVATIONS 298 17.5
CONCLUDING REMARKS 308
17.6 APPENDIX: THE LANCZOS PROCEDURE IN SOLVING SYMMETRIC EIGENVALUE
PROBLEMS 309
REFERENCES 313
18 OBSERVATION AND ANALYSIS OF INTERNAL SEICHES IN THE SOUTHERN BASIN OF
LAKE OF LUGANO 315
18.1 INTRODUCTORY REMARKS, LAKE MORPHOLOGY 315
18.2 STATE OF STRATIFICATION AND WIND FORCES: 15 AUGUST-15 OCTOBER 1984
318
18.3 INTERNAL SEICHE RESPONSE: VARIATION IN ISOTHERM DEPTH AND WIND
STRESS 324
18.3.1 INTERNAL OSCILLATIONS 25 AUGUST-5 SEPTEMBER 324 18.3.2 INTERNAL
OSCILLATIONS 7-30 SEPTEMBER 326
18.3.3 INTERNAL SEICHE AFTER 3 OCTOBER 329
18.3.4 HARMONIC ANALYSIS 329
18.4 MODEL PREDICTIONS: THE TWO-LAYERED VARIABLE-DEPTH MODEL 333
18.5 CURRENT STRUCTURE OF THE INTERNAL SEICHES 344
18.6 CLOSING REMARKS 348
18.6.1 OBSERVED FEATURES NOT REPRODUCED BY THE TVD-MODEL 348
18.6.2 A REMARK ON THE GENERATION OF TOPOGRAPHIC WAVES 349 18.6.3
BAROTROPIC-BAROCLINIC COUPLING OF THE NORTH- AND SOUTH BASIN 351
REFERENCES 352
IMAGE 5
CONTENTS LUI
19 TOPOGRAPHIE WAVES IN ENCLOSED BASINS: FUNDAMENTALS AND OBSERVATIONS
355
19.1 REVIEW OF EARLY WORK 355
19.2 SOME OBSERVATIONS AND PROPOSED INTERPRETATIONS 358
19.2.1 LAKE MICHIGAN 358
19.2.2 LAKE OF LUGANO (NORTH BASIN) 362
19.2.3 OTHER LAKES AND OCEAN BASINS 365
19.3 BAROCLINIC COUPLING: THE TWO-LAYER MODEL 368
19.3.1 TWO-LAYER-EQUATIONS 368
19.3.2 APPROXIMATIONS 369
19.3.3 SCALE ANALYSIS 372
19.3.4 BOUNDARY CONDITIONS 376
19.4 CONTINUOUS STRATIFICATION 377
19.4.1 MODAL EQUATIONS 377
19.4.2 SPECTRAL DECOMPOSITION OF THE BAROCLINIC FIELDS 382 19.4.3 SCALE
ANALYSIS 389
19.5 DISCUSSION 391
REFERENCES 396
20 TOPOGRAPHIC ROSSBY WAVES IN BASINS OF SIMPLE GEOMETRY 399 20.1
MOTIVATION 399
20.2 TOPOGRAPHIC WAVE EQUATION IN CURVILINEAR ORTHOGONAL COORDINATE
SYSTEMS 400
20.2.1 PREPARATION 400
20.2.2 CYLINDRICAL COORDINATES 403
20.2.3 ELLIPTICAL COORDINATES 403
20.2.4 NATURAL COORDINATES 405
20.2.5 CARTESIAN-COORDINATE CORRESPONDENCE PRINCIPLE 407 20.3 AN ALMANAC
OF ANALYTICAL SOLUTIONS 407
20.3.1 CIRCULAR BASIN WITH PARABOLIC BOTTOM 407
20.3.2 CIRCULAR BASIN WITH A POWER-LAW BOTTOM PROFILE 411 20.3.3
ELLIPTIC BASIN WITH PARABOLIC BOTTOM 413
20.3.4 ELLIPTIC BASIN WITH EXPONENTIAL BOTTOM 417
20.3.5 TOPOGRAPHIC VORTICITY WAVES IN INFINITE DOMAINS 425 20.3.6
ELLIPTIC ISLAND IN INFINITE SPACE 432
20.4 APPLICATION OF TRANSFORMATION PRINCIPLES 434
20.4.1 HYPERBOLICALLY CURVED CHANNELS 434
20.4.2 SEMI-INFINITE GULF AND PATCHED-UP ELONGATED BASINS 437
20.5 DISCUSSION 443
REFERENCES 444
IMAGE 6
LIV CONTENTS
21 TOPOGRAPHIC WAVES IN BASINS WITH COMPLEX SHAPES
AND COMPLEX BATHYMETRIES 447
21.1 CONCEPTUAL REVIEW 447
21.2 THE METHOD OF WEIGHTED RESIDUALS 448
21.2.1 THE METHOD OF WEIGHTED RESIDUALS APPLIED TO TOPOGRAPHIC WAVES 448
21.2.2 SYMMETRISATION 453
21.3 TOPOGRAPHIC WAVES IN INFINITE CHANNELS 454
21.3.1 BASIC CONCEPT 455
21.3.2 DISPERSION RELATION 458
21.3.3 CHANNEL SOLUTIONS 463
21.4 TOPOGRAPHIC WAVES IN RECTANGULAR BASINS 469
21.4.1 CRUDE LAKE MODELS 469
21.4.2 THE ROLE OF THE ASPECT RATIO 472
21.4.3 LAKE MODEL WITH NON-CONSTANT DEPTH ALONG ITS THALWEG 474
21.4.4 CURRENT PATTERNS 485
21.5 CURVED CHANNELS 490
21.5.1 THE METHOD OF WEIGHTED RESIDUALS FOR LAKES WITH CURVED THALWEGS
490
21.5.2 DISPERSION RELATION 493
21.5.3 TW-WAVE MODES IN WEDGES OF ANNULI WITH SMOOTH BATHYMETRY 495
21.6 REFLECTION OF TOPOGRAPHIC WAVES 498
21.6.1 REFLECTION AT A VERTICAL WALL 499
21.6.2 REFLECTION AT A GULF END WITH CONTINUOUS DEPTH LINES BUT
DISCONTINUOUS SLOPE PARAMETER 502 21.6.3 REFLECTION AT A CHANNEL END
WITH CONTINUOUS DEPTH LINES AND CONTINUOUS SLOPE PARAMETER 504 21.7 BAY
MODES AND RESONANCES 512
21.7.1 THE BOUNDARY VALUE PROBLEM FOR TWS IN A SEMI-INFINITE GULF WITH
EXPONENTIAL BATHYMETRY 513 21.7.2 THE FLAT CHANNEL 518
21.7.3 CHANNEL WITH SHELF TOPOGRAPHY 521
21.8 CONCLUDING DISCUSSION 530
21.9 APPENDIX 533
REFERENCES 536
22 A CLASS OF CHRYSTAL-TYPE EQUATIONS 539
22.1 MOTIVATION 539
22.2 TRADITIONAL CHRYSTAL-TYPE EQUATIONS 541
22.2.1 HOMOGENEOUS LAKES 541
22.2.2 TWO-LAYER CHANNEL MODEL 544
22.3 EXTENDED CHANNEL MODELS: GOVERNING EQUATIONS 555
22.4 METHOD OF WEIGHTED RESIDUALS 559
IMAGE 7
CONTENTS LV
22.5 DERIVATION OF A HIERARCHY OF CHANNEL EQUATIONS FOR BAROTROPIC
MOTIONS IN LAKES 563
22.5.1 MASS BALANCE 564
22.5.2 MOMENTUM BALANCE 566
22.5.3 SUMMARY 567
22.6 LOW-ORDER CHANNEL MODELS FOR CURVED ROTATING ELONGATED LAKES 569
22.6.1 NON-ROTATING BASINS 570
22.6.2 A FIRST-ORDER MODEL ACCOUNTING FOR THE ROTATION OF THE EARTH 572
22.7 GRAVITY WAVES IN CHANNELS AND LAKES OF RECTANGULAR CROSS SECTION ON
THE ROTATING EARTH 576
22.7.1 FREE OSCILLATIONS IN A NON-ROTATING RECTANGLE 576 22.1.2
KELVIN-TYPE WAVES IN AN INFINITELY LONG RECTANGULAR STRAIGHT CANAL 579
22.7.3 WAVE SOLUTIONS OF THE FULL FIRST-ORDER SYSTEM: POINCARE-LIKE
WAVES 581
22.7.4 REFLECTION OF KELVIN-TYPE WAVES AT A BARRIER OF A HALF-OPEN
RECTANGULAR CANAL AND FREE OSCILLATIONS IN RECTANGLES 589
22.8 RING-SHAPED BASINS WITH CONSTANT DEPTH 600
22.8.1 SOLUTIONS OF THE TWO-DIMENSIONAL TIDAL EQUATION 600 22.8.2
FIRST-ORDER CHANNEL MODEL 603
22.9 HIGHER ORDER CHRYSTAL-TYPE MODELS APPLIED TO FREE OSCILLATIONS IN
NATURAL BASINS 608
22.9.1 THE NTH ORDER TWO-POINT BOUNDARY-VALUE PROBLEM FOR BAROTROPIC
FORCED OR FREE OSCILLATIONS 608 22.9.2 INTEGRATION PROCEDURE 612
22.9.3 BAROTROPIC SEICHES OF THE NORTHERN BASIN OF LAKE OF LUGANO 614
APPENDIX 22.A 620
APPENDIX 22.B 623
REFERENCES 626
NAME INDEX 629
LAKE INDEX 633
SUBJECT INDEX 635
|
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| author | Hutter, Kolumban 1941- Wang, Yongqi 1964- Chubarenko, Irina P. |
| author_GND | (DE-588)121218694 (DE-588)123686458 |
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| id | DE-604.BV037264123 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-24T00:21:36Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-021177194 |
| open_access_boolean | |
| publishDateSort | 0000 |
| publisher | Springer |
| record_format | marc |
| series2 | Advances in geophysical and environmental mechanics and mathematics : AGEM2 |
| spellingShingle | Hutter, Kolumban 1941- Wang, Yongqi 1964- Chubarenko, Irina P. Physics of lakes Limnologie (DE-588)4035769-7 gnd |
| subject_GND | (DE-588)4035769-7 |
| title | Physics of lakes |
| title_auth | Physics of lakes |
| title_exact_search | Physics of lakes |
| title_full | Physics of lakes Kolumban Hutter ; Yongqi Wang ; Irina P. Chubarenko |
| title_fullStr | Physics of lakes Kolumban Hutter ; Yongqi Wang ; Irina P. Chubarenko |
| title_full_unstemmed | Physics of lakes Kolumban Hutter ; Yongqi Wang ; Irina P. Chubarenko |
| title_short | Physics of lakes |
| title_sort | physics of lakes |
| topic | Limnologie (DE-588)4035769-7 gnd |
| topic_facet | Limnologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021177194&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT hutterkolumban physicsoflakes AT wangyongqi physicsoflakes AT chubarenkoirinap physicsoflakes |