INSTITUTO SUPERIOR TÃCNICO. LISBON. PORTUGAL. Page 2. Page 3. Topex/Poseidon data â variation of the sea level in Mediteraneean and Black Seas ...
INSTITUTO SUPERIOR TÉCNICO LISBON. PORTUGAL
Black Sea
Topex/Poseidon data – variation of the sea level in Mediteraneean and Black Seas 1993-2000
Corridor for energy transport
Topex/Poseidon data – variation of the sea level in Mediteraneean and Black Seas 1993-2000
Topex/Poseidon data – variation of the sea level in Mediteraneean and Black Seas 1993-2000
S total = S in + S dis + S nl S in (σ , θ ) = A + BE (σ , θ ) A - linear growth; BE exponential growth A (default 0.0015) 2 expressions for the coefficient B: Komen and Janssen
k ~ S ds ,w (σ ,θ ) = −Γσ ~ E (σ ,θ ) k
k ~ S ds ,w (σ ,θ ) = −Γσ ~ E (σ ,θ ) k ~ k ⎞⎛ S ⎞ ⎛ Γ = Γ = C ⎜ (1 − δ ) + δ ~ ⎟⎜⎜ ~ ⎟⎟ p
KJ
~ S
PM
ds
⎝
k ⎠⎝ S ⎠ PM
overall wave steepness for Pierson-Moskowitz spectrum (= (3.02×10-3)1/2). exponent p=4
Komen - Cds (default 2.36 ×10-5). δ=0
k ~ S ds ,w (σ ,θ ) = −Γσ ~ E (σ ,θ ) k ~ k ⎞⎛ S ⎞ ⎛ Γ = Γ = C ⎜ (1 − δ ) + δ ~ ⎟⎜⎜ ~ ⎟⎟ p
KJ
~ S
PM
ds
k ⎠⎝ S ⎠
⎝
PM
overall wave steepness for Pierson-Moskowitz spectrum (= (3.02×10-3)1/2). exponent p=4
Komen - Cds (default 2.36 ×10-5). δ=0 Janssen
C ds1
⎛ 1 = C ds ⎜ ~ ⎜S ⎝ PM
⎞ ⎟ ⎟ ⎠
4
(default 4.5) δ (default 0.5)
Cumulative Steepness Method (40.20)
st S wc
(σ ,θ ) =
S st (σ , θ ) =
σ
st −C wc S st 2π
∫0 ∫0
(σ ,θ )E (σ ,θ ) m
k cos(θ − θ ') E (σ , θ )dσdθ 2
st (default 0.5 - 40.41) C wc
m (default 2)
40.51 - Saturation-based model of Alves and Banner (2003). more appropriate for mixed sea-swell conditions and in shallow water.
Transfer wave energy from the spectral peak both to lower and to higher frequencies 9 - parameterizations
(50 m) STEP II Validation
Coastal driver
(85 m) WAM comparisons
NCEP – wind (1.875º) ECMRWF – wind (2.5º) ∆t=6h
STEP I Calibration REMO wind (0.25º) ∆t=1h
∆t=20 min ∆x=∆y=0.08º Nit=4
Default values:
Janssen:
C = 2.36 ⋅ 10 C = 4.5
CSM:
C = 0.5
Komen:
ds
ds 1
−5
~ S
2 PM
= 3.02 ⋅ 10
δ = 0.5 m=2
st
wc
New values: Komen:
Cds = 1.12⋅ 10
~ S
Janssen:
C = 1.1
δ = 0.5
CSM:
C = 0 .1
m=2
−5
ds 1
st
wc
2 PM
= 3.02 ⋅ 10
−3
−3
Wave statistics for SWAN (1996.11.01h00-1997.02.06h00) Wave statistics for WAM (Valchev et al.. 2004) n=660
Xmed
Ymed
Bias
RMSE
SI
r
Hs(m)
1.005
1.013
-0.008
0.386
0.384
0.871
5.25
0.270 0.369 0.430
0.530 1.42 1.74
0.680 0.253 0.340
0.730 0.651 0.550
Tp (s)
5.62
K O M
Dir (°)
216.1
207.5
8.58 33.10
53.5 92.7
0.25 0.46
0.47 0.36
Hs (m)
1.005
1.026
-0.022
0.432
0.430
0.837
J
Tp (s)
5.62
5.52
0.1
1.516
0.270
0.562
N
Dir (°)
216.1
224.5
-8.4
68.1
0.315
0.33
S
Hs (m)
1.005
1.104
-0.099
0.407
0.405
0.865
C
Tp (s)
5.62
5.82
-0.197
1.43
0.255
0.629
S
Dir (°)
216.1
222.0
-5.83
66.65
0.308
0.403
M
Buoy SWAN
Komen
C ds = 1.36 ⋅ 10 −5
Hs (m)
~2 S PM = 3.62 ⋅ 10 −3
Tp (s)
Dir (º)
Day 1 - 1996.11.01. day 96- 1997.02.04
Study on the influence of DIA-based computations for the quadruplets Period: 1997.01.01 (day 62) – 1997.02.06
