A boundary integral equation model for the development of non-linear water waves and their interaction with structures:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Lyngby
Inst. of Hydrodynamics and Hydraulic Engineering
1989
|
| Schriftenreihe: | Instituttet for Str/omingsmekanik en Vandbygning <Lyngby-Tårbaek>: Series paper
47 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Zsfassung in engl. und dän. Sprache. - Zugl.: Lyngby, Techn. Univ., Diss. |
| Beschreibung: | XVI, 158 S. graph. Darst. |
Internformat
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| 245 | 1 | 0 | |a A boundary integral equation model for the development of non-linear water waves and their interaction with structures |c by Jesper Skourup |
| 264 | 1 | |a Lyngby |b Inst. of Hydrodynamics and Hydraulic Engineering |c 1989 | |
| 300 | |a XVI, 158 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Instituttet for Str/omingsmekanik en Vandbygning <Lyngby-Tårbaek>: Series paper |v 47 | |
| 500 | |a Zsfassung in engl. und dän. Sprache. - Zugl.: Lyngby, Techn. Univ., Diss. | ||
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Fluid dynamics |x Mathematical models | |
| 650 | 4 | |a Water waves |x Mathematical models | |
| 830 | 0 | |a Instituttet for Str/omingsmekanik en Vandbygning <Lyngby-Tårbaek>: Series paper |v 47 |w (DE-604)BV002414656 |9 47 | |
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Datensatz im Suchindex
| _version_ | 1804118838107701248 |
|---|---|
| adam_text | iii
CONTENTS
Page
PREFACE i
CONTENTS iii
SYMBOLS AND ABBREVIATIONS vii
ABSTRACT xiii
RESUME (Abstract in Danish) xv
1 INTRODUCTION 1
2 THE BOUNDARY INTEGRAL EQUATION METHOD 9
2 1 General 9
2 2 The Laplace equation and boundary conditions 9
2 3 Green s 2nd identity 13
2 4 Numerical solution of Green s 2nd identity 15
241 The general approach 15
242 Linear variation of functions and
of geometry 18
243 Cubic spline variation of geometry 22
244 Numerical evaluation of singular
integrals 23
245 Manipulations of coefficient matrices 26
2 5 Solution at interior points 29
3 TEMPORAL UPDATING OF THE COMPUTATIONAL DOMAIN 35
3 1 General 35
3 2 Time-stepping of the boundary 35
321 Review of methods 35
322 The time-stepping method 38
/
323 Solution of Laplace problem for 45
324 Tangential derivatives 47
3 3 Time-stepping of interior points 50
iv
4 STABILITY OF THE COMPUTATIONS 53
4 1 General 53
4 2 Verification of the Laplace solution 53
421 Steady uniform flow computation 53
422 Condition number calculation 58
4 3 Energy and volume computations 60
431 Mathematical formulations 60
432 Computational examples 61
4 4 Highly non-linear water waves 69
441 Steep stream function wave 69
4411 Computation covering
several wave periods 69
4412 Particle movements 74
4413 Interior point calculation 78
442 Computations of breaking waves 85
5 APPLICATION TO WAVE-STRUCTURE INTERACTION 95
5 1 General 95
5 2 Forces on a horizontal cylinder 96
521 General 96
522 The inertia forces 97
523 Modifications to the numerical
scheme 99
524 Computations of forces on circular
cylinder 102
5 3 Kinematics in a wave due to cylinder 108
531 General 108
532 Velocity and acceleration vectors 109
533 Particle orbits around structures 113
5331 Circular cylinder 114
5332 Rectangular cylinder 122
5333 Two circular cylinders 124
534 Comparison of wave forces
on structures 126
V
6 SUMMARY AND CONCLUSIONS 129
7 REFERENCES 133
8 APPENDICES 139
Appendix A
Numerical quadrature formulas 139
Appendix B
Cubic splines 141
Appendix C
Singular integrals 147
Appendix D
|
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| id | DE-604.BV004720821 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:16:39Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002901389 |
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| owner_facet | DE-91 DE-BY-TUM DE-83 |
| physical | XVI, 158 S. graph. Darst. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Inst. of Hydrodynamics and Hydraulic Engineering |
| record_format | marc |
| series | Instituttet for Str/omingsmekanik en Vandbygning <Lyngby-Tårbaek>: Series paper |
| series2 | Instituttet for Str/omingsmekanik en Vandbygning <Lyngby-Tårbaek>: Series paper |
| spelling | Skourup, Jesper Verfasser aut A boundary integral equation model for the development of non-linear water waves and their interaction with structures by Jesper Skourup Lyngby Inst. of Hydrodynamics and Hydraulic Engineering 1989 XVI, 158 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Instituttet for Str/omingsmekanik en Vandbygning <Lyngby-Tårbaek>: Series paper 47 Zsfassung in engl. und dän. Sprache. - Zugl.: Lyngby, Techn. Univ., Diss. Mathematisches Modell Fluid dynamics Mathematical models Water waves Mathematical models Instituttet for Str/omingsmekanik en Vandbygning <Lyngby-Tårbaek>: Series paper 47 (DE-604)BV002414656 47 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002901389&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Skourup, Jesper A boundary integral equation model for the development of non-linear water waves and their interaction with structures Instituttet for Str/omingsmekanik en Vandbygning <Lyngby-Tårbaek>: Series paper Mathematisches Modell Fluid dynamics Mathematical models Water waves Mathematical models |
| title | A boundary integral equation model for the development of non-linear water waves and their interaction with structures |
| title_auth | A boundary integral equation model for the development of non-linear water waves and their interaction with structures |
| title_exact_search | A boundary integral equation model for the development of non-linear water waves and their interaction with structures |
| title_full | A boundary integral equation model for the development of non-linear water waves and their interaction with structures by Jesper Skourup |
| title_fullStr | A boundary integral equation model for the development of non-linear water waves and their interaction with structures by Jesper Skourup |
| title_full_unstemmed | A boundary integral equation model for the development of non-linear water waves and their interaction with structures by Jesper Skourup |
| title_short | A boundary integral equation model for the development of non-linear water waves and their interaction with structures |
| title_sort | a boundary integral equation model for the development of non linear water waves and their interaction with structures |
| topic | Mathematisches Modell Fluid dynamics Mathematical models Water waves Mathematical models |
| topic_facet | Mathematisches Modell Fluid dynamics Mathematical models Water waves Mathematical models |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002901389&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV002414656 |
| work_keys_str_mv | AT skourupjesper aboundaryintegralequationmodelforthedevelopmentofnonlinearwaterwavesandtheirinteractionwithstructures |