Cnoidal waves over a gently sloping bottom:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Lyngby
1974
|
| Series: | Institute of Hydrodynamics and Hydraulic Engineering <København>: Series paper.
6. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 181 S. graph. Darst. |
Staff View
MARC
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| 245 | 1 | 0 | |a Cnoidal waves over a gently sloping bottom |
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| 650 | 4 | |a Écoulement diphasique | |
| 650 | 4 | |a Mathematisches Modell | |
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Record in the Search Index
| _version_ | 1804116625754947584 |
|---|---|
| adam_text | CONTENTS,
ABSTRACT 1
PREFACE 3
1 INTRODUCTION 5
PART I HORIZONTAL BOTTOM 13
2 BASIC EQUATIONS FOR LONG WAVES 15
2 0 Fundamental hydrodynamic considerations 15
2 1 The long wave assumptions, horizontal bottom 19
2 2 Long wave equations, horizontal bottom 22
2 3 Properties of lowest order approximation 29
2 4 The Korteweg-de Vries and Boussinesq equations 31
3 CNOIDAL WAVES - FIRST APPROXIMATION 35
3 1 Solution of the equation for g 35
3 2 Final cnoidal wave expressions 41
3 3 Horizontal velocity profile u(x,y,t) 46
3 4 Discussion of the first order cnoidal approximation 49
3 5 Comparison with other expressions for u 53
3 6 The Pressure in a cnoidal wave 55
3 7 Discussion of some practical applications 56
3 8 Numerical evaluation of cnoidal waves 59
3 9 Summary of chapter 3 70
4 OUTLINE OF THE DERIVATION OF THE SECOND ORDER
APPROXIMATION TO CNOIDAL WAVES 71
PART II GENTLY SLOPING BOTTOM 75
5 SHOALING OF CNOIDAL WAVES 77
5 0 Introduction 77
5 1 Energy transport in cnoidal waves 79
5 2 The Shoaling Equation and its solution 81
5 3 Relation to sinusoidal wave theory 86
5 4 Determination of wave height H and wave length L 87
5 5 Comparison between sinusoidal and cnoidal
wave theory 94
5 6 Deep water limit for cnoidal waves 98
5 7 Numerical examples 107
5 8 Discussion of Masch s and Iwagaki s results 109
5 9 Summary of chapter 5 112
6 DEFORMATION OF CNOIDAL WAVES ON GENTLY SLOPING BOTTOM 115
6 0 Introduction 115
6 1 Basic equations for a gently sloping bottom 117
6 2 Multiple scale expansion 126
6 3 Zero-order solution 133
6 4 First-order solution 136
6 5 Determination of arbitrary functions 141
6 6 Numerical evaluation of results 151
6 7 Summary of chapter 6 159
APPENDIX 3 1 Elliptic integrals and functions 161
3 2 Alternative derivation of horizontal 164
velocity
6 1 Derivation of 9/9m(cn(0,m)) and 9K/9m 168
LIST OF SYMBOLS 173
|
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| indexdate | 2024-07-09T15:41:29Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001425273 |
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| owner | DE-91 DE-BY-TUM DE-83 |
| owner_facet | DE-91 DE-BY-TUM DE-83 |
| physical | 181 S. graph. Darst. |
| publishDate | 1974 |
| publishDateSearch | 1974 |
| publishDateSort | 1974 |
| record_format | marc |
| series | Institute of Hydrodynamics and Hydraulic Engineering <København>: Series paper. |
| series2 | Institute of Hydrodynamics and Hydraulic Engineering <København>: Series paper. |
| spelling | Svendsen, Ib A. 1937-2004 Verfasser (DE-588)139102698 aut Cnoidal waves over a gently sloping bottom Lyngby 1974 181 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Institute of Hydrodynamics and Hydraulic Engineering <København>: Series paper. 6. Eau souterraine - Écoulement Écoulement diphasique Mathematisches Modell Water waves Mathematical models Wave-motion, Theory of (DE-588)4113937-9 Hochschulschrift gnd-content Institute of Hydrodynamics and Hydraulic Engineering <København>: Series paper. 6. (DE-604)BV002414656 6. HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001425273&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Svendsen, Ib A. 1937-2004 Cnoidal waves over a gently sloping bottom Institute of Hydrodynamics and Hydraulic Engineering <København>: Series paper. Eau souterraine - Écoulement Écoulement diphasique Mathematisches Modell Water waves Mathematical models Wave-motion, Theory of |
| subject_GND | (DE-588)4113937-9 |
| title | Cnoidal waves over a gently sloping bottom |
| title_auth | Cnoidal waves over a gently sloping bottom |
| title_exact_search | Cnoidal waves over a gently sloping bottom |
| title_full | Cnoidal waves over a gently sloping bottom |
| title_fullStr | Cnoidal waves over a gently sloping bottom |
| title_full_unstemmed | Cnoidal waves over a gently sloping bottom |
| title_short | Cnoidal waves over a gently sloping bottom |
| title_sort | cnoidal waves over a gently sloping bottom |
| topic | Eau souterraine - Écoulement Écoulement diphasique Mathematisches Modell Water waves Mathematical models Wave-motion, Theory of |
| topic_facet | Eau souterraine - Écoulement Écoulement diphasique Mathematisches Modell Water waves Mathematical models Wave-motion, Theory of Hochschulschrift |
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