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( 甲 -91-E-FA09-7-3). 斜坡上非線性波浪傳動特性之研究 The Characteristics of Nonlinear Wave Transformation on Sloping Bottoms. Overall Prospectus for Promoting University Academic Excellence of Universities. Overall Project Duration: Month April Year 2002 – Month March Year 2005. - PowerPoint PPT Presentation
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NCKU
斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
The Characteristics of Nonlinear Wave Transformation oThe Characteristics of Nonlinear Wave Transformation on Sloping Bottomsn Sloping Bottoms
Overall Project Duration: Month Overall Project Duration: Month AprilApril Year Year 20022002 – –
Month Month MarchMarch Year Year 20052005
((甲甲 -91-E-FA09-7-3)-91-E-FA09-7-3)
National Cheng Kung University
Overall Prospectus for Promoting University Academic Excellence of
Universities
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
NCKU
1.Research Manpower1.Research Manpower
• Chief Investigator• Prof. H. H. Hwung (黃煌煇 ) National Cheng-Kung University
• Co-Investigators• Prof. L. H. Huang (黃良雄 ) National Taiwan University• Prof. J. F. Lee (李兆芳 ) National Cheng-Kung University• Prof. C. P. Tsai (蔡清標 ) National Chung-Hsing University
• Foreign Consultants• Prof. Philip L-F. Liu Cornell University• Prof. Chan Eng Soon National University of Singapore
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
NCKU
• Research Staffs
• Students• Mr. H. C. Hsu (許弘莒 ) PhD student
• Mr. C. W. Zheng(鄭志維 ) PhD student
• Mr. Y. S. Lin (林宇銜 ) PhD student
• Ms. C. H. Lin (林均樺 ) M.S. student
• Mr. H. C. Zeng (曾鴻棋 ) M.S. student
• Mr. J. C. Huang(黃志誠 ) M.S. student
• Mr. K. C. Hu (胡凱程 ) M.S. student
• Ms. Y. X. Wu (吳怡荁 ) M.S. student
• Ms. C. W. Lee (李嘉文 ) M.S. student
• Mr. Y. P. Lee (李昱博 ) M.S. student
Dr. K. S. Hwang (黃國書 ) Associate Researcher
Dr. C. C. Liu (劉正琪 ) Associate Researcher
Dr. S. C. Hsiao (蕭士俊 ) Assistant Researcher
Mr. W. S. Chiang (江文山 ) Assistant Researcher
Mr. Y. H. Chang (張裕弦 ) Assistant Researcher
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
NCKU
2.Basic Information of the Project2.Basic Information of the Project
Overall Project Title: The Characteristics of Nonlinear Wave Transformation on Sloping Bottoms
Serial No.: 甲 -91-E-FA09-7-3Academic Affiliation: National Cheng Kung University
Serial No. Project TitlePrincipal
Investigator
TitleAcademic Affiliation
Overall Project
The characteristics of nonlinear wave
transformation on sloping bottoms
Hwung-Hweng Hwung
Professor
National Cheng Kung University
Sub-Project 1
Nonlinear modulation of progressive waves
Hwung-Hweng Hwung
Professor
National Cheng Kung University
Sub-Project 2
The transmission of wave envelopes
Hwung-Hweng Hwung
Professor
National Cheng Kung University
Liang-Hsiung Huang
Professor
National Taiwan University
Sub-Project 3
The generation of infragravity waves
Jaw-Fang Lee
Professor
National Cheng Kung University
Sub-Project 4
The studies on wave breaking and related flow
fields
Hwung-Hweng Hwung
Professor
National Cheng Kung University
Ching-Piao Tsai
Professor
National Chung Hsing University
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
NCKU
3.Overall Prospectus3.Overall Prospectus The dynamics of nonlinear wave interaction in the ocean
are really complicated, interesting and attractive phenome-n
on. Especially, the wave modulation that includes the move
ments of chasing, composing, splitting and evolving among
waves have been investigated by a lot of researchers since
1960.
A number of experimental studies, although far less in co
mparison with those of theoretical studies in quantity, were
afterward conducted by Benjamin and Feir(1967), Lake et al.
(1977), Ramamonjiariso and Mollo- Christensen(1979), Mel
ville(1982), Su et al.(1982),
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
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Bonmarin and Ramamonjiarisoa(1985), Blien et al.(1986). Tulin
and Waseda(1999) and Westhuis(2001). Fruitful results have be
en accomplished with these studies.
However, most of them used shorter wave lengths, normally l
ess than 1.0 m, or conducted under a single frequency and with
un-seeded wave board motion for the facilities limits. Therefore,
the mechanisms of wave modulation are not fully understood. R
eferring to the description above, the transformation of wave pro
pagation, nonlinear wave interaction, wave modulation and the d
ynamics after wave breaking as well as the related flow field are
deserved to offer more researches on this issues.
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
NCKU
Thus in the three- year integrated project, the general prop
osal is suggested according to the following four Themes:
(1) Nonlinear modulation of progressive wave
(2) The transmission of wave envelopes
(3) The generation of infragravity waves
(4) The studies on wave breaking and related flow fields
The scope of the proposed research may be broadly divid
ed into two complementary components: one is on the enha
ncement of numerical methodologies in simlulating the
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
NCKU
generation and transformation of wave envelopes as well
as the breaking process from wave steepening to turbule
nt mixing, and the other is on the experimental study of t
he same process at a sufficiently large scale. In order to
obtain the completeness with systematical results, seven
teen sub- projects have been planned as following:
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
NCKU
1) Measurements on surface elevation and interior flow field of the wave modulation in uniform water depth
2) Measurements on surface elevation and interior flow field of the wave envelopes in uniform water depth
3) Measurements on the highest wave and the related flow field after wave breaking in uniform water depth
4) Measurements on the characteristics of wave modulation on sloping bottoms
5) Measurements on the characteristics of wave envelopes on sloping bottoms
6) The generation of infragravity waves
7) Energy transmission of infragravity waves
8) Measurements on the interior flow field of infragravity waves
9) The measurements of wave breaking on sloping bottoms
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
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10) The measurements of the related flow field after breaking on sloping bottoms
11) The analysis on parameters indices of wave nonlinearity
12) The interaction between waves and structures on sloping bottoms
13) Wave models for regular and irregular wave in uniform water depth
14) Model for regular wave on sloping bottoms
15) Model for irregular wave on sloping bottoms
16) Breaking wave model for regular wave on sloping bottoms
17) Breaking wave model for irregular wave on sloping bottoms
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
NCKU
Scope of Research
MeasurementOn surface elevation and interior flow field
Model(13) (14) (15)
(16) (17)
Sloping bottoms(4) (5) (9)
(10) (11) (12)
Uniform water depth(1) (2) (3)
Infragravity waves
(6) (7) (8)
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
NCKU
4.Annual Prospectus for year 20024.Annual Prospectus for year 2002 In order to understand the principal characteristics of
nonlinear wave transformation, four sub- projects have been carried out in the first year, they are:
(1) Measurements on surface elevation and interior flow field of the wave modulation in uniform water depth.
(2) Measurements on surface elevation and interior flow field of the wave envelopes in uniform water depth.
(3) Measurements on the highest wave and the related flow field after wave breaking in uniform water depth.
(4) Wave models for regular and irregular wave in uniform water depth.
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
NCKU
5. Annual Performance for year 20025. Annual Performance for year 2002• 5.1Facilities : Super Tank
47 m 238 m
m
Wave
generator
Wave
generator
Wav
e ab
sorb
erW
ave
abso
rber
300 m
5 m
47 m 238 m
5.2
m
Wave
generator
Wave
generator
Wav
e ab
sorb
erW
ave
abso
rber
300 m
5 m
Wave generator design water depth : 2.5~3.5 m
optimal period : 1~13.5 sec design maximum wave height : 1 m
drive system : servo-hydraulic
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
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InstrumentationsInstrumentations
• Wave gage
– capacitance-type, designed and manufactured
by THL
– Resolution:12 bits on a dynamic range of 4.5 m.
– Linearity: 0.5%
– distributed at 66 stations, each gage was
mounted at 40 cm away from the sidewall.
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
NCKU
InstrumentationsInstrumentations• Velocimeter
– acoustic Doppler velocimeter (ADV) × 1• SonTek YSI 10-MHz ADV
– three-components velocity measurement– sampling volume less than 0.2 cm3 – accuracy: 1% of measured range – velocity range: 1 mm/s to 2.5 m/s
– electromagnetic (EM) current meters × 8• ALEC ACM250-A
– two- components velocity measurement– sampling volume =5 mm – accuracy: 2% of measured range – velocity range: 25 cm/s to 2.5 m/s
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
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5-2 Facilities Examination:5-2 Facilities Examination:
• The key factors to well model the long time evolution of nonlinear wavetrains depend strongly on the scale of wave flume, the capability of wave generator, the instrumentation and data analysis. Therefore, to ensure the capabilities of the facilities was necessary before the elaborate tests.
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
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Wave Generator Regular wave condition Case: Reg19F , T=1.6 sec
0 1 2 3 4 5freq u en cy ( H z )
1 E -0 0 61 E -0 0 50 .0 0 0 1
0 .0 0 10 .0 1
0 .11
PS
D (
m2 se
c )
2 3 0 0 2 3 0 5 2 3 1 0 2 3 1 5 2 3 2 0 2 3 2 5 2 3 3 0 2 3 3 5 2 3 4 0tim e (s ec)
-0 .1 0
-0 .0 5
0 .0 0
0 .0 5
0 .1 0
S (m)
d isp lacem en t o f w av e b o ard
0 1 2 3 4 5freq u en cy ( H z )
1 E -0 0 6
1 E -0 0 5
0 .0 0 0 1
0 .0 0 1
0 .0 1
0 .1
ampl
itude
( m
)
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Experimental Conditions of Experimental Conditions of Regular WaveRegular Wave
Depth of waterDepth of water
dd == 2.5 m , 3.5 m2.5 m , 3.5 m
Period Period TT == 1.1 ~3.0 sec1.1 ~3.0 sec
Wave steepnessWave steepness
kaka00 == 0.05~0.400.05~0.40 0 0 .4 0 .8 1 .2 1 .6
d /L 0
0
0 .1
0 .2
0 .3
0 .4
0 .5
k a 0
d = 2 .5 md = 3 .5 m
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
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Regular wave Case:Reg19F
0 5 1 0 1 5 2 0 2 5 3 0
-0 .2
0
0 .2
(m)
2 0 2 5 3 0 3 5 4 0 4 5 5 0
-0 .2
0
0 .2
(m)
1 0 1 5 2 0 2 5 3 0 3 5 4 0tim e ( sec )
-0 .1
0
0 .1
S ( m )
th eo re tica l v a lu e
g au g e : ch 1 , x = 1 5 m
d isp lacem en t o f w av e_ b o a rd
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
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4
1
2
2
)sin()sin()sin(
0
22220
kkkk
bbaa
tbtbta
c
c
c
cc
Experimental Conditions of Experimental Conditions of SeededSeeded Waves System
c
ak
ˆ
00
NCKU
Experimental Conditions of Experimental Conditions of SeededSeeded Waves System
Depth of water =Depth of water =3.5 m3.5 m
Period Period =1.3 , 1.6 , 2.0 sec=1.3 , 1.6 , 2.0 sec
Wave steepness Wave steepness kaka= = 0.08~0.230.08~0.23
Side band amplitudeSide band amplitude 0.05 , 0.1 , 0.3
Side band frequency Side band frequency parameterparameter 0.1~2.2
0/ ab
0 .4 0 .6 0 .8 1 1 .2 1 .4
d /L 0
0 .0 5
0 .1
0 .1 5
0 .2
0 .2 5
0 .3
k a 0
d = 3 .5 m
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
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Seeded Waves System Case:T63F
0 5 1 0 1 5 2 0 2 5 3 0 3 5 4 0
-0 .2
0
0 .2
(m)
2 0 2 5 3 0 3 5 4 0 4 5 5 0 5 5 6 0
-0 .2
0
0 .2
(m)
1 0 1 5 2 0 2 5 3 0 3 5 4 0 4 5 5 0tim e ( sec )
-0 .1
0
0 .1
S ( m )
in p u t d a ta
g au g e : ch 1 , x = 1 5 m
d isp lacem en t o f w av e_ b o a rd
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
NCKU
Experimental Conditions of Experimental Conditions of TwoTwo Waves System
2202
1101
21
2
2
2
2
coscos2
T
dtTT
T
dtTT
ttH
NCKU
Experimental Conditions ofExperimental Conditions ofTwoTwo Waves System
Depth of waterDepth of water
dd == 3.5 m3.5 m
Period Period TT == 1.4, 1.6, 2.0 sec1.4, 1.6, 2.0 sec
dtdt == 0.1~0.4 sec0.1~0.4 sec
Wave steepnessWave steepnessHH == 0.05~0.30 m0.05~0.30 m
KaKa00 == 0.10~0.250.10~0.25 0 .4 0 .6 0 .8 1 1 .2
d /L 0
0 .0 8
0 .1 2
0 .1 6
0 .2
0 .2 4
0 .2 8
k a 0
d = 3 .5 m
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
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Two Waves System Case:B1163F
0 5 1 0 1 5 2 0 2 5 3 0 3 5 4 0 4 5 5 0 5 5 6 0
-0 .2
0
0 .2
(m)
2 0 2 5 3 0 3 5 4 0 4 5 5 0 5 5 6 0 6 5 7 0 7 5 8 0
-0 .2
0
0 .2
(m)
2 0 2 5 3 0 3 5 4 0 4 5 5 0 5 5 6 0 6 5 7 0 7 5 8 0tim e ( sec )
-0 .1
0
0 .1
S ( m )
in p u t d a ta
g au g e : ch 1 , x = 1 5 m
d isp lace m en t o f w av e_ b o a rd
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
NCKU
Experimental Conditions of Experimental Conditions of Wave Packet Wave Packet
Depth of water d =3.5 m
Period T =1.2, 1.3, 1.6 sec
Wave amplitude a =0.045~0.1 m
2
2
( ) exp( ( / 5 ) )sin( ), 16 16 , 2 /
( ) exp( ( / 3 ) )sin( ), 16 16 , 2 /
t a t T t T t T T
t a t T t T t T T
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
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Wave Packet Case:P07F1
0 2 0 4 0 6 0 8 0 1 0 0
-0 .1
0
0 .1
(m)
0 2 0 4 0 6 0 8 0 1 0 0
-0 .1
0
0 .1
(m)
0 2 0 4 0 6 0 8 0 1 0 0tim e ( sec )
-0 .0 5
0
0 .0 5
S ( m )
in p u t d a ta
g au g e : ch 1 , x = 1 5 m
d isp lacem en t o f w av e_ b o a rd
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
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5-3 Results5-3 Results(ka0=0.1207)
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
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(a) t=30 sec
(b) t=130 sec
(c) t=300 sec
(d) t=2000 sec
Contour of wave amplitude in log scale for wave ka0=0.2038
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
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2300 2320 2340 2360 2380 2400tim e, sec
R E G 19F 1L on g tim e an d space evo lu tion o f w ave pro file
-0 .2
0 .0
0 .2
surf
ace
elev
atio
n(m
)
ch : 1 x = 1 5 m
ch : 1 6 x = 9 1 m
ch : 2 0 x = 1 0 6 m
ch : 3 0 x = 1 3 6 m
ch : 4 2 x = 1 7 2 m
ch : 5 0 x = 1 9 6 m
ch : 5 8 x = 2 2 0 m
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
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卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
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xox ebb
~
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
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ka0=0.1386
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
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ka0=0.118
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
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ka0=0.1538
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
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Experimental condition(reg04)Experimental condition(reg04)
– Wave height : 0.1552+/- 0.0018 m– Wave period : 1.597 +/- 0.0056 sec– Still water depth : 3.5 m– Wave steepness : ka=0.1207 (3rd order)– Relative depth : d/L=0.8667
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
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卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
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卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
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Experimental condition(reg28)Experimental condition(reg28)
– Wave height : 0.179+/- 0.003 m (1.67%)– Wave period : 1.597 +/- 0.0038 sec (0.24%)– Still water depth : 3.5 m– Wave steepness : ka=0.1386 (3rd order)– Relative depth : d/L=0.86
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
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卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
NCKU
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
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0 0 .1 0 .2 0 .3 0 .4k a o
0
0 .1
0 .2
0 .3
0 .4
0 .5ka
ma
x
d / L = 0 .5 1~ 1 .5 4break in g
n o n -b reak in g
u n sa tu ra ted
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
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Ka=0.1118
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
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Ka=0.1258
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
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Ka=0.1651
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
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Ka=0.2515
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
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100.0 120.0 140.0 160.0 180.0time (sec)
-0.3
0.0
0.3
-0.4
-0.2
0.0
0.2
0.4
u z/h=-0.27
z/h=-0.43
z/h=-0.64
velocity record compared with the linear random wave theorykaka00=0.15, =0.15, ff00=0.5, =0.5, bb±±/a/a00=0.3=0.3
Yellow – measured
White – computed
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
NCKU
1-D Bicromatic Sine Waves Over Uniform Water Depth1-D Bicromatic Sine Waves Over Uniform Water Depth(B39)(B39)
• Wave Conditions: (Water Depth = 3.5m)– Wave Height = 0.15m (H_in/2H = 0.02143) , – Wave Period = 1.80 sec , Wavelength = 5.04
3m (kh = 4.3487, ka = 0.09318)– Wave Period = 2.20 sec , Wavelength = 7.04
9m (kh = 2.9268, ka = 0.06271)
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
NCKU
1-D Bicromatic Sine Waves Over Uniform Water Depth(B39) - 1-D Bicromatic Sine Waves Over Uniform Water Depth(B39) - 2-Layer Model2-Layer Model
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
NCKU
1-D Bicromatic Sine Waves Over Uniform Water Depth(B39) - 1-D Bicromatic Sine Waves Over Uniform Water Depth(B39) - 3-Layer Model3-Layer Model
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
NCKU
Experimental condition(b47)Experimental condition(b47)
– Wave height : 0.15 m– T1: 1.90 sec– T2: 2.10 sec– Still water depth : 3.5 m
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
NCKU
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
NCKU
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
NCKU
6. Publications for year 20026. Publications for year 20021) H.H. Hwung(2002): Experiments on Nonlinear Wave Tr
ansformation and Wave Modulation. Proceeding of the 24th Ocean Engineering Conference in Taiwan, pp78-84. (in Chinese)
2) P.Lynett, P.L.F.Liu, H.H.Hwung and W.S.Chiang(2003): Multi-Layer Modeling of Wave Groups from Deep to Shallow Water. Proceedings of OMAE 2003 pp1-8
3) H.H. Hwung, W.S.Chiang, P.L.F.Liu and P.Lynett(2003): Sideband Evolution of Initially Uniform Deep Water Wave. (Submitted to I.C.C.E)
4) W.S. Chiang, H.H. Hwung and Y.H. Chang(2003): Experiments on the Front of Uniform Wave Train in a Super Tank. (Submitted to I.C.C.E)
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
NCKU
5) P. Lynett, P.L.F.Liu and H.H.Hwung(2003): A Multi-Layer Approach to Boussinesq- type Modeling. (Submitted to I.C.C.E)
6) H.C. Hsu , Y.Y. Chen and H.H. Hwung(2003): Surface Wave Evolution in Water of Varying Depth. (Submitted to I.C.C.E)
7) W.S. Chiang, H.H. Hwung, Y.H. Chang and K.C. Hu(2003): Evolution of Transient Wave Front. (Submitted to Journal of Coastal and Ocean Engineering) (in Chinese)
8) H.H. Hwung, K.S. Hwang, H.H.Chen, Y.H.Chang and K.J. Hwung(2003): Velocity Measurements in Modulated Side-Bands. (accepted by the 25th Ocean Engineering Conference in Taiwan, October 2003) (in Chinese)
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
NCKU
9) W.S. Chiang, H.H. Hwung, Y.H. Chang and K.C. Hu(2003): Evolution of Transient Wave Front. (accepted by the 25th Ocean Engineering Conference in Taiwan 2003) (in Chinese)
10) H.H.Hwung and W.S.Chiang(2003): Wave Modulation in Uniform Water Depth. (Keynote lecture in the 27th National Conference on Theoretical and Applied Mechanics, November,2003)
11) S.C. Hsiao, C.C. Liu and H.H. Hwung(2003): Numerical Simulation of Nonlinear Waves over a Uniform Water Depth by Multi-Layer Approach. (Preparing and will be submitted to International Journal of Numerical Methods in Fluids)
卓越計畫卓越計畫 ----斜坡上非線性波浪傳動特性之研究斜坡上非線性波浪傳動特性之研究
NCKU
12) H.H. Hwung, K.S.Hwang and C.P. Tsai(2003): Measure-ments and Predictions on the Internal Flow Fields of Modulated Waves. (Preparing and will be submitted to J. Waterway Port, Coastal and Ocean Engineering)
13) H.H. Hwung, W.S. Chiang and P.L.F. Liu(2003): Experiments on Wave Modulation in Deep Water. (preparing and will be submitted to Journal of Fluid Mechanics)
14) H.H. Hwung, W.S. Chiang and L.H. Hwang(2003): The Growth of Wave Modulation in Deep Water. (preparing and will be submitted to Physics in Fluids)