Ocean waves: the stochastic approach
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge
Univ. Press
1998
|
| Edition: | 1. publ. |
| Series: | Cambridge ocean technology series
6 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 319 S. graph. Darst. |
| ISBN: | 052156378X |
Staff View
MARC
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Record in the Search Index
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| adam_text | OCEAN WAVES THE STOCHASTIC APPROACH MICHEL K. OCHI UNIVERSITY OF FLORIDA
CAMBRIDGE UNIVERSITY PRESS CONTENTS PREFACE XI 1 DESCRIPTION OF RANDOM
SEAS 1 1.1 STOCHASTIC CONCEPT AS APPLIED TO OCEAN WAVES 1 1.1.1
INTRODUCTION 1 1.1.2 OCEAN WAVES AS A GAUSSIAN RANDOM PROCESS 2 1.1.3
RANDOM SEAS 4 1.2 MATHEMATICAL PRESENTATION OF RANDOM WAVES 8 1.3
STOCHASTIC PREDICTION OF WAVE CHARACTERISTICS 9 2 SPECTRAL ANALYSIS 13
2.1 SPECTRAL ANALYSIS OF RANDOM WAVES 13 2.1.1 FUNDAMENTALS OF
STOCHASTIC PROCESSES 13 2.1.2 AUTO-CORRELATION FUNCTION 15 2.1.3
SPECTRAL DENSITY FUNCTION (SPECTRUM) 16 2.1.4 WIENER-KHINTCHINE THEOREM
18 2.1.5 SPECTRAL ANALYSIS OF TWO WAVE RECORDS 19 2.1.6 WAVE-NUMBER
SPECTRUM 22 2.1.7 WAVE VELOCITY AND ACCELERATION SPECTRA 25 2.2
CHARACTERISTICS OF WAVE SPECTRA 26 2.3 WAVE SPECTRAL FORMULATIONS 33
2.3.1 PIERSON-MOSKOWITZ SPECTRUM 33 2.3.2 TWO-PARAMETER SPECTRUM 3 5
2.3.3 SPECTRAL FORMULATION AS A FUNCTION OF A ~ 5 36 2.3.4 SIX-PARAMETER
SPECTRUM 39 2.3.5 JONSWAP SPECTRUM 42 2.3.6 TMA SPECTRUM * 48 2.4
MODIFICATION OF WAVE SPECTRUM FOR MOVING SYSTEMS 50 2.5 HIGHER-ORDER
SPECTRAL ANALYSIS 52 3 WAVE AMPLITUDE AND HEIGHT 58 3.1 INTRODUCTION ,
58 3.2 PROBABILITY DISTRIBUTION OF AMPLITUDES WITH NARROW-BAND SPECTRUM
60 3.2.1 DERIVATION OF PROBABILITY DENSITY FUNCTION 60 3.2.2 WAVE
ENVELOPE PROCESS 64 VLL VLLL CONTENTS 3.3 PROBABILITY DISTRIBUTION OF
WAVE MAXIMA WITH NON- NARROW-BAND SPECTRUM 66 3.4 JOINT DISTRIBUTION OF
TWO WAVE AMPLITUDES 73 3.5 PROBABILITY DISTRIBUTION OF PEAK-TO-TROUGH
EXCURSIONS (WAVE HEIGHT) 78 3.6 SIGNIFICANT WAVE HEIGHT 81 3.7
PROBABILITY DISTRIBUTION OF HALF-CYCLE EXCURSIONS 84 3.8 LONG-TERM WAVE
HEIGHT DISTRIBUTION 88 3.9 STATISTICAL ANALYSIS OF AMPLITUDE AND HEIGHT
FROM WAVE RECORDS 91 3.9.1 INTRODUCTION 91 3.9.2 MAXIMUM LIKELIHOOD
ESTIMATION 92 3.9.3 ESTIMATION OF RAYLEIGH DISTRIBUTION PARAMETER FROM A
SMALL NUMBER OF OBSERVATIONS 95 3.9.4 GOODNESS-OF-FIT TESTS 99 WAVE
HEIGHT AND ASSOCIATED PERIOD 103 4.1 INTRODUCTION 103 4.2 JOINT
PROBABILITY DISTRIBUTION OF WAVE HEIGHT AND PERIOD 104 4.3 JOINT
PROBABILITY DISTRIBUTION OF POSITIVE MAXIMA AND TIME INTERVAL 110 4.4
PROBABILITY DISTRIBUTION OF WAVE PERIOD 114 4.5 JOINT PROBABILITY
DISTRIBUTION OF WAVE HEIGHT AND DIRECTION OF WAVE ENERGY TRAVEL 118 SEA
SEVERITY 123 5.1 STATISTICAL PRESENTATION OF SEA SEVERITY 123 5.1.1
PROBABILITY DISTRIBUTION OF SIGNIFICANT WAVE HEIGHT 123 5.1.2 JOINT
PROBABILITY DISTRIBUTION OF SIGNIFICANT WAVE HEIGHT AND PERIOD 130 5.1.3
TIME SERIES ANALYSIS OF SEA STATE DATA 135 5.2 HURRICANE-ASSOCIATED SEAS
137 5.2.1 INTRODUCTION 137 5.2.2 SEA SEVERITY MEASURED DURING HURRICANES
138 5.2.3 WAVE SPECTRA AND WAVE HEIGHT IN HURRICANE-GENERATED SEAS 141
ESTIMATION OF EXTREME WAVE HEIGHT AND SEA STATE 1 49 6.1 BASIC CONCEPT
OF EXTREME VALUES 149 6.2 PROBABLE AND DESIGN EXTREME WAVE HEIGHT 151
6.3 ESTIMATION OF EXTREME WAVE HEIGHT AND SEA STATE FROM DATA 159 6.4
EXTREME WAVE HEIGHT IN A NON-STATIONARY SEA STATE 164 6.5 ASYMPTOTIC
DISTRIBUTIONS OF LARGEST WAVES AND SEA STATES 165 6.5.1 TYPE I
ASYMPTOTIC EXTREME VALUE DISTRIBUTION 167 6.5.2 TYPE III ASYMPTOTIC
EXTREME VALUE DISTRIBUTION 170 CONTENTS IX 7 DIRECTIONAL CHARACTERISTICS
OF RANDOM SEAS 175 7.1 INTRODUCTION 175 7.2 PRINCIPLE OF EVALUATION OF
DIRECTIONAL WAVE SPECTRA 176 7.2.1 WAVE PROBE ARRAY 176 7.2.2 FLOATING
BUOYS 180 7.2.3 PRESSURE AND CURRENT METERS 188 7.3 ANALYSIS OF
DIRECTIONAL ENERGY SPREADING FUNCTION 190 7.4 ESTIMATION OF DIRECTIONAL
ENERGY SPREADING FROM DATA 196 7.4.1 MAXIMUM LIKELIHOOD METHOD 196 7.4.2
MAXIMUM ENTROPY METHOD 207 7.4.3 APPLICATION OF A BAYESIAN METHOD 212
7.5 FORMULATION OF THE WAVE ENERGY SPREADING FUNCTION 216 8 SPECIAL WAVE
EVENTS 218 8.1 BREAKING WAVES 218 8.1.1 WAVE BREAKING CRITERIA 218 8.1.2
PROBABILITY OF OCCURRENCE OF WAVE BREAKING 222 8.1.3 ENERGY LOSS
RESULTING FROM WAVE BREAKING 229 8.2 GROUP WAVES 232 8.2.1 INTRODUCTION
232 8.2.2 STATISTICAL PROPERTIES THROUGH THE ENVELOPE PROCESS APPROACH
235 8.2.3 STATISTICAL PROPERTIES THROUGH THE MARKOV CHAIN APPROACH 246
8.3 FREAK WAVES 252 9 NON-GAUSSIAN WAVES (WAVES IN FINITE WATER DEPTH)
255 9.1 INTRODUCTION 255 9.2 PROBABILITY DISTRIBUTION OF NON-GAUSSIAN
WAVES 257 9.2.1 GRAM-CHARLIER SERIES DISTRIBUTION 257 9.2.2 DISTRIBUTION
BASED ON STOKES WAVES 265 9.2.3 DISTRIBUTION BASED ON THE CONCEPT OF
NONLINEAR SYSTEM 269 9.3 PROBABILITY DISTRIBUTION OF PEAKS AND TROUGHS
275 9.4 TRANSFORMATION FROM GAUSSIAN TO NON-GAUSSIAN WAVES 280 APPENDIX
A. FUNDAMENTALS OF PROBABILITY THEORY 283 APPENDIX B. FUNDAMENTALS OF
STOCHASTIC PROCESS THEORY 294 APPENDIX C. FOURIER TRANSFORM AND HILBERT
TRANSFORM 300 REFERENCES 304 INDEX 317
|
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| dewey-raw | 551.4702 |
| dewey-search | 551.4702 |
| dewey-sort | 3551.4702 |
| dewey-tens | 550 - Earth sciences |
| discipline | Geologie / Paläontologie Mathematik |
| edition | 1. publ. |
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| id | DE-604.BV012363508 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:26:15Z |
| institution | BVB |
| isbn | 052156378X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008383783 |
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| physical | XII, 319 S. graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Univ. Press |
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| series | Cambridge ocean technology series |
| series2 | Cambridge ocean technology series |
| spelling | Ochi, Michel K. Verfasser aut Ocean waves the stochastic approach Michel K. Ochi 1. publ. Cambridge Univ. Press 1998 XII, 319 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge ocean technology series 6 Stochastik (DE-588)4121729-9 gnd rswk-swf Meereswelle (DE-588)4038334-9 gnd rswk-swf Meereswelle (DE-588)4038334-9 s Stochastik (DE-588)4121729-9 s DE-604 Cambridge ocean technology series 6 (DE-604)BV009017527 6 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008383783&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ochi, Michel K. Ocean waves the stochastic approach Cambridge ocean technology series Stochastik (DE-588)4121729-9 gnd Meereswelle (DE-588)4038334-9 gnd |
| subject_GND | (DE-588)4121729-9 (DE-588)4038334-9 |
| title | Ocean waves the stochastic approach |
| title_auth | Ocean waves the stochastic approach |
| title_exact_search | Ocean waves the stochastic approach |
| title_full | Ocean waves the stochastic approach Michel K. Ochi |
| title_fullStr | Ocean waves the stochastic approach Michel K. Ochi |
| title_full_unstemmed | Ocean waves the stochastic approach Michel K. Ochi |
| title_short | Ocean waves |
| title_sort | ocean waves the stochastic approach |
| title_sub | the stochastic approach |
| topic | Stochastik (DE-588)4121729-9 gnd Meereswelle (DE-588)4038334-9 gnd |
| topic_facet | Stochastik Meereswelle |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008383783&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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