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Development of a 3-D Hydrodynamic Model for Lake Sammamish
Curtis DeGasperiKing County DNRP, WLRD
Science SeminarNovember 23, 2004
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King County’s Freshwater Program (formerly SWAMP and GDWQA)
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Lakes Background -Washington
Metric EnglishDrainage Basin Area 1,274 km2 314,800 acCedar Basin 495 km2 122,300 acLake Surface Area 87.6 km2 21,500 acLake Volume 2.9x109 m3 2.35x106 ac-ftMean Depth 33 m 108 ftMaximum Depth 65.2 m 214 ft
Mean Residence Time 2.3 years
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Lakes Background -Sammamish
Metric EnglishDrainage Basin Area 230 km2 57,000 acIssaquah Basin 145 km2 35,600 acLake Surface Area 19.8 km2 4,900 acLake Volume 3.5x108 m3 283,860 ac-ftMean Depth 17.7 m 58 ftMaximum Depth 32 m 105 ft
Mean Residence Time 1.8 years
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LakesCH3DCE-QUAL-ICM
RiverCE-QUAL-W2
WatershedHSPFUrbanSim
Model Selection
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Lake Models Background
• Initially developed for Chesapeake Bay• ACOE-ERDC set up and calibrate Lake
Washington models• King County set up and calibrate Lake
Sammamish models
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CH3D Model
• 3-D model• Temperature• Salinity• Horizontal and vertical velocity
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ACOE-ERDC Lake WashingtonCH3D Model• Boundary fitted z-coordinate grid• k-ε turbulence closure scheme (Rodi 1980)• Heat exchange confined to surface layer• Externally processed Equilibrium
Temperature (ET) heat exchange• Solar radiation calculated in ET program• Simple convective vertical mixing scheme
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Temperature Modeling
Solar shortwave radiation
Atmoshpericlongwaveradiation
Conduction and
Convection
Longwaveback radiation
from water
Evaporation and
condenstation
Radiation terms Non-radiation terms
Net absorbed radiation Water dependent terms
Hn = Hs + Ha + He + Hc - (Hsr + Har + Hbr)
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Equilibrium Temperature
• Conceptually simple• Computation may be performed externally• Closed-form analytical solution• Assumes heat loss is linearly related to
water temperature
James Martin and Steven McCutcheon. 1999. Hydrodynamics and Transport for Water Quality Modeling. page 372.
)( eTwTawKawH −−=
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Model Setup
• Bathymetry• Meteorology• Constituent Inputs (trib/precip)
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Data Sources
• Bathymetry (JC Headwaters/King County)• Meteorology (Sea-Tac/Sand Point)• Hydrology and stream temperature (WLRD,
USGS)• Water quality data (WLRD)• Lake water surface elevations (USGS/ACOE)
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Bathymetry
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4,283 cells
249 surface cells
30 layers
layers 3 feet (0.91 m) thick
Average cell area 0.08 km2
(19.8 ac)
Average cell length 280 m (920 ft)
Lake Sammamish Grid
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#
#
#
#
#
#
##
#
#
#
UW Atm Sci
WSDOT SR520
WSDOT I-90
Boeing Field
Sea-Tac
RUSS-SAMMS
Lake Washington
Lake Sammamish
Renton Airport
NOAA-ISIS
Meteorological Data Sources
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#
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#
Boeing Field
Sea-Tac
Lake Washington
Lake Sammamish
Meteorological Data Sources
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#
#
#
#
#
#
##
#
#
#
Lake Washington
Lake SammamishUW Atm Sci
NOAA-ISIS
Meteorological Data Sources
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#
#
#
#
#
#
##
#
#
#
Lake Washington
Lake Sammamish
RUSS-SAMMS
Meteorological Data Sources
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Wind Speed ScalingWIND SPEED ADJUSTMENT
0
2
4
6
8
10
12
14
16
0 2 4 6 8
WIND SPEED (M S-1)
OB
S H
EIG
HT
(M)
Adjusted SpeedObs Height:
Observation Height6.1 m
P
zzUU ⎟⎠⎞
⎜⎝⎛=
1
212
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Wind Speed ScalingWIND SPEED ADJUSTMENT
0
2
4
6
8
10
12
14
16
0 2 4 6 8
WIND SPEED (M S-1)
OB
S H
EIG
HT
(M)
Adjusted SpeedObs Height:
Observation Height6.1 m )(12 WSFUU =
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Wind Adjustment Factor (WAF)
Surface Shear Stress
U10m = U6.1m x WSF x WAF
Surface Heat Exchange
U2m = U6.1m x WSF x WAF
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Monthly Average Wind Speed ComparisonRUSS vs Sea-Tac
0
1
2
3
4
5
1/1/2000 12/31/2000 12/31/2001 12/31/2002 1/1/2004
Date
M S
-1
RUSS Sea-Tac
Sea-Tac
RUSS
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RUSS Monthly Average Wind Speed - % of Sea-Tac
0
20
40
60
80
100
120
1/1/2000 12/31/2000 12/31/2001 12/31/2002 1/1/2004
Date
Perc
ent
Wind Speed at Lake Averages ~90 % of Sea-Tac Wind
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Sea-Tac Hourly Wind Speed by Year
YEAR
1995 1996 1997 1998 1999 2000 2001 2002
M S
-1
0
5
10
15
20
Wind Data EvaluationSEA-TAC
ASOS Oct. 1996
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Wind Data EvaluationBoeing Field
Year
1995 1996 1997 1998 1999 2000 2001 2002
M S
-1
0
5
10
15
20
BOEING FIELD
ASOS Dec. 1998
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Model Calibration1995 - 2002
#
#
#
#
#
#
#
0625
0611
0622
M621
0612
0617
0614
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CH3D Temperature Results1995 - 2002
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CH3D 1995 - 0612
0 10 20
0
5
10
15
20
25
30bias =0.0881ame =0.0881rmse =0.0882
17-Jan-1995CH3D 0612
Dep
th (m
)
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.16ame =0.186rmse =0.224
08-Feb-1995
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.326ame =0.326rmse =0.384
07-Mar-1995
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.166ame =0.297rmse =0.387
04-Apr-1995
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.331ame =0.355rmse =0.52
18-Apr-1995
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.329ame =0.363rmse =0.482
02-May-1995
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.132ame =0.28rmse =0.334
16-May-1995
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.714ame =0.863rmse =1.26
05-Jun-1995
Dep
th (m
)
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.44ame =0.481rmse =0.703
10-Jul-1995
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.225ame =0.341rmse =0.557
01-Aug-1995
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.312ame =0.75rmse =0.907
12-Sep-1995
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.279ame =0.813rmse =0.899
02-Oct-1995
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.0838ame =0.391rmse =0.43
09-Nov-1995
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.0827ame =0.122rmse =0.163
05-Dec-1995
Temperature (oC)
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CH3D 1996 - 0612
0 10 20
0
5
10
15
20
25
30bias =-0.249ame =0.249rmse =0.25
03-Jan-1996CH3D 0612
Dep
th (m
)
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.0922ame =0.0929rmse =0.104
07-Feb-1996
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.568ame =0.568rmse =0.581
06-Mar-1996
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.586ame =0.602rmse =0.704
21-Mar-1996
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =1.21ame =1.21rmse =1.27
10-Apr-1996
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.429ame =0.493rmse =0.558
30-Apr-1996
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.541ame =0.541rmse =0.582
08-May-1996
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.354ame =0.671rmse =0.965
21-May-1996
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.0832ame =0.615rmse =0.769
04-Jun-1996
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.254ame =0.606rmse =0.895
18-Jun-1996
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.36ame =0.714rmse =1.05
02-Jul-1996
Dep
th (m
)
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.425ame =0.905rmse =1.03
24-Jul-1996
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.143ame =0.703rmse =0.742
06-Aug-1996
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.0376ame =0.777rmse =0.879
21-Aug-1996
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.0138ame =0.521rmse =0.724
05-Sep-1996
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.547ame =0.716rmse =0.945
17-Sep-1996
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.543ame =0.781rmse =1.01
01-Oct-1996
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.93ame =0.93rmse =1.03
06-Nov-1996
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.113ame =0.186rmse =0.2
04-Dec-1996
Temperature (oC)
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CH3D 1997 - 0612
0 10 20
0
5
10
15
20
25
30bias =0.148ame =0.151rmse =0.234
22-Jan-1997CH3D 0612
Dep
th (m
)
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.1ame =0.111rmse =0.117
05-Feb-1997
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.138ame =0.138rmse =0.143
03-Mar-1997
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.0517ame =0.133rmse =0.141
02-Apr-1997
Temperature (oC)
0 10 20
0
5
10
15
20
25
30
23-Apr-1997
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.0818ame =0.319rmse =0.38
07-May-1997
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.75ame =0.775rmse =1.13
02-Jun-1997
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =NaName =NaNrmse =NaN
02-Jul-1997
Dep
th (m
)
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.164ame =0.525rmse =0.665
06-Aug-1997
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.503ame =0.88rmse =1.05
02-Sep-1997
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =1.06ame =1.06rmse =1.31
01-Oct-1997
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.63ame =0.63rmse =0.751
08-Oct-1997
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.0878ame =0.205rmse =0.244
05-Nov-1997
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.18ame =0.18rmse =0.18
03-Dec-1997
Temperature (oC)
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CH3D 1998 - 0612
0 10 20
0
5
10
15
20
25
30bias =-0.506ame =0.506rmse =0.507
07-Jan-1998CH3D 0612
Dep
th (m
)
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.675ame =0.675rmse =0.675
03-Feb-1998
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.935ame =0.935rmse =0.938
03-Mar-1998
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.457ame =0.496rmse =0.607
24-Mar-1998
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.701ame =0.701rmse =0.817
06-Apr-1998
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.601ame =0.608rmse =0.829
21-Apr-1998
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.478ame =0.562rmse =0.886
05-May-1998
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.917ame =1.02rmse =1.22
03-Jun-1998
Dep
th (m
)
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.485ame =0.585rmse =0.939
06-Jul-1998
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.643ame =0.899rmse =1.27
05-Aug-1998
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.0567ame =0.843rmse =1.01
08-Sep-1998
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =1.08ame =1.29rmse =1.61
07-Oct-1998
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =1.11ame =1.32rmse =1.62
02-Nov-1998
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.196ame =0.196rmse =0.209
14-Dec-1998
Temperature (oC)
![Page 36: New Development of a 3-D Hydrodynamic Model for Lake Sammamish · 2014. 9. 22. · Lakes Background - Sammamish Metric English Drainage Basin Area 230 km2 57,000 ac Issaquah Basin](https://reader036.vdocuments.us/reader036/viewer/2022071218/60517d3b68530c1dce4b62c1/html5/thumbnails/36.jpg)
CH3D 1999 - 0612
0 10 20
0
5
10
15
20
25
30bias =-0.069ame =0.069rmse =0.0875
05-Jan-1999CH3D 0612
Dep
th (m
)
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.856ame =0.856rmse =0.856
03-Feb-1999
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-1.02ame =1.02rmse =1.02
02-Mar-1999
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.512ame =0.512rmse =0.536
23-Mar-1999
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.303ame =0.303rmse =0.418
06-Apr-1999
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.369ame =0.54rmse =0.769
19-Apr-1999
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.0397ame =0.496rmse =0.591
05-May-1999
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.287ame =0.428rmse =0.528
24-May-1999
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.298ame =0.368rmse =0.443
08-Jun-1999
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.842ame =0.968rmse =1.28
07-Jul-1999
Dep
th (m
)
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =NaName =NaNrmse =NaN
20-Jul-1999
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.762ame =0.822rmse =1.07
03-Aug-1999
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =NaName =NaNrmse =NaN
17-Aug-1999
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.55ame =0.811rmse =1.15
08-Sep-1999
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.06ame =0.489rmse =0.564
21-Sep-1999
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.428ame =0.844rmse =0.998
05-Oct-1999
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.51ame =0.525rmse =0.865
02-Nov-1999
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =NaName =NaNrmse =NaN
07-Dec-1999
Temperature (oC)
![Page 37: New Development of a 3-D Hydrodynamic Model for Lake Sammamish · 2014. 9. 22. · Lakes Background - Sammamish Metric English Drainage Basin Area 230 km2 57,000 ac Issaquah Basin](https://reader036.vdocuments.us/reader036/viewer/2022071218/60517d3b68530c1dce4b62c1/html5/thumbnails/37.jpg)
CH3D 2000 - 0612
0 10 20
0
5
10
15
20
25
30bias =-0.848ame =0.848rmse =0.848
05-Jan-2000CH3D 0612
Dep
th (m
)
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.735ame =0.735rmse =0.757
08-Feb-2000
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.637ame =0.637rmse =0.644
07-Mar-2000
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.824ame =0.824rmse =0.837
21-Mar-2000
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.873ame =0.873rmse =1.12
04-Apr-2000
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.499ame =0.592rmse =0.711
02-May-2000
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.528ame =0.589rmse =0.822
16-May-2000
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-1.03ame =1.07rmse =1.37
13-Jun-2000
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.57ame =0.67rmse =0.888
05-Jul-2000
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.809ame =0.917rmse =1.55
18-Jul-2000
Dep
th (m
)
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.85ame =0.876rmse =1.16
08-Aug-2000
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =NaName =NaNrmse =NaN
22-Aug-2000
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.337ame =0.52rmse =0.669
06-Sep-2000
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.579ame =0.887rmse =1.01
19-Sep-2000
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.487ame =1.01rmse =1.23
03-Oct-2000
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.765ame =1.26rmse =1.45
31-Oct-2000
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.0978ame =0.0978rmse =0.134
04-Dec-2000
Temperature (oC)
![Page 38: New Development of a 3-D Hydrodynamic Model for Lake Sammamish · 2014. 9. 22. · Lakes Background - Sammamish Metric English Drainage Basin Area 230 km2 57,000 ac Issaquah Basin](https://reader036.vdocuments.us/reader036/viewer/2022071218/60517d3b68530c1dce4b62c1/html5/thumbnails/38.jpg)
CH3D 2001 - 0612
0 10 20
0
5
10
15
20
25
30bias =-0.309ame =0.309rmse =0.309
03-Jan-2001CH3D 0612
Dep
th (m
)
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.576ame =0.576rmse =0.576
31-Jan-2001
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.442ame =0.442rmse =0.502
27-Feb-2001
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.265ame =0.265rmse =0.288
20-Mar-2001
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.589ame =0.589rmse =0.66
03-Apr-2001
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.484ame =0.522rmse =0.629
17-Apr-2001
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.327ame =0.359rmse =0.459
02-May-2001
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.383ame =0.532rmse =0.657
21-May-2001
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.143ame =0.409rmse =0.479
30-May-2001
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.527ame =0.68rmse =0.806
19-Jun-2001
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.682ame =0.804rmse =1.04
02-Jul-2001
Dep
th (m
)
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.577ame =0.68rmse =0.911
17-Jul-2001
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.02ame =0.213rmse =0.286
07-Aug-2001
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.85ame =0.951rmse =1.34
21-Aug-2001
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.646ame =0.898rmse =1.46
05-Sep-2001
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.261ame =0.684rmse =0.788
18-Sep-2001
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.37ame =0.922rmse =0.975
02-Oct-2001
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.394ame =0.748rmse =0.838
06-Nov-2001
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.414ame =0.414rmse =0.414
03-Dec-2001
Temperature (oC)
![Page 39: New Development of a 3-D Hydrodynamic Model for Lake Sammamish · 2014. 9. 22. · Lakes Background - Sammamish Metric English Drainage Basin Area 230 km2 57,000 ac Issaquah Basin](https://reader036.vdocuments.us/reader036/viewer/2022071218/60517d3b68530c1dce4b62c1/html5/thumbnails/39.jpg)
CH3D 2002 - 0612
0 10 20
0
5
10
15
20
25
30bias =-0.616ame =0.616rmse =0.621
09-Jan-2002CH3D 0612
Dep
th (m
)
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.691ame =0.691rmse =0.691
28-Jan-2002
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.539ame =0.539rmse =0.551
05-Mar-2002
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.586ame =0.586rmse =0.586
18-Mar-2002
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.636ame =0.636rmse =0.942
02-Apr-2002
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.196ame =0.475rmse =0.497
17-Apr-2002
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.0592ame =0.337rmse =0.411
07-May-2002
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.636ame =0.94rmse =1.34
21-May-2002
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.462ame =0.847rmse =1.32
04-Jun-2002
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.689ame =0.89rmse =1.28
18-Jun-2002
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.00681ame =0.766rmse =0.845
01-Jul-2002
Dep
th (m
)
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.37ame =1.25rmse =1.5
16-Jul-2002
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.47ame =0.977rmse =1.07
07-Aug-2002
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =-0.0861ame =1.38rmse =1.56
19-Aug-2002
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.373ame =1.33rmse =1.43
04-Sep-2002
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =1.22ame =1.36rmse =1.62
17-Sep-2002
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.787ame =1.42rmse =1.66
07-Oct-2002
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =1.56ame =1.63rmse =1.96
04-Nov-2002
Temperature (oC)
0 10 20
0
5
10
15
20
25
30bias =0.433ame =0.433rmse =0.644
03-Dec-2002
Temperature (oC)
![Page 40: New Development of a 3-D Hydrodynamic Model for Lake Sammamish · 2014. 9. 22. · Lakes Background - Sammamish Metric English Drainage Basin Area 230 km2 57,000 ac Issaquah Basin](https://reader036.vdocuments.us/reader036/viewer/2022071218/60517d3b68530c1dce4b62c1/html5/thumbnails/40.jpg)
Model Error Statistics
NOPME )( −Σ=
NOP
AME)−Σ
=
NOPRMSE
2)( −Σ=
OOP
RE Σ−Σ
=)(
Mean Error (Bias)
Absolute Mean Error
Root Mean Square Error
Relative Error
![Page 41: New Development of a 3-D Hydrodynamic Model for Lake Sammamish · 2014. 9. 22. · Lakes Background - Sammamish Metric English Drainage Basin Area 230 km2 57,000 ac Issaquah Basin](https://reader036.vdocuments.us/reader036/viewer/2022071218/60517d3b68530c1dce4b62c1/html5/thumbnails/41.jpg)
Lake Sammamish CH3DModel Error Statistics
Number of Comparisons 4,891 Mean Error (bias) -0.28 oC Absolute Mean Error (AME) 0.80 oC Root Mean Square Error (RMSE)
1.10 oC
Relative Mean Error (%) 6.4
![Page 42: New Development of a 3-D Hydrodynamic Model for Lake Sammamish · 2014. 9. 22. · Lakes Background - Sammamish Metric English Drainage Basin Area 230 km2 57,000 ac Issaquah Basin](https://reader036.vdocuments.us/reader036/viewer/2022071218/60517d3b68530c1dce4b62c1/html5/thumbnails/42.jpg)
LAKE SAMMAMISH CH3DMean Annual Errors, 1995-2002
-2
-1
0
1
2
1995 1996 1997 1998 1999 2000 2001 2002
Erro
r, o C Bias
AMERMSE
Lake Sammamish CH3DModel Error Statistics
Wind Adjustment Factor
0.60 0.60 0.80 0.85 0.85 0.85 0.85 0.85
![Page 43: New Development of a 3-D Hydrodynamic Model for Lake Sammamish · 2014. 9. 22. · Lakes Background - Sammamish Metric English Drainage Basin Area 230 km2 57,000 ac Issaquah Basin](https://reader036.vdocuments.us/reader036/viewer/2022071218/60517d3b68530c1dce4b62c1/html5/thumbnails/43.jpg)
Sea-Tac vs. SSAMM RUSSAir Temperature Comparison
All data (outliers removed)
Sea-Tac Air Temp (oC)
0 10 20 30
RU
SS
Air
Tem
p (o C
)
0
10
20
30
ObservationsLinear Regression95% Prediction Intervals1:11:1
y = 0.95(x) + 1.52r2 = 0.9282
![Page 44: New Development of a 3-D Hydrodynamic Model for Lake Sammamish · 2014. 9. 22. · Lakes Background - Sammamish Metric English Drainage Basin Area 230 km2 57,000 ac Issaquah Basin](https://reader036.vdocuments.us/reader036/viewer/2022071218/60517d3b68530c1dce4b62c1/html5/thumbnails/44.jpg)
Sea-Tac Air Temp (oC)
0 10 20 30
RU
SS
Air
Tem
p (o C
)
0
10
20
30
ObservationsRegression95% Prediction Intervals1:1
y = 0.92(x) + 1.38r2 = 0.9347
Sea-Tac vs. SSAMM RUSSAir Temperature Comparison
7 AM to 6 PM
![Page 45: New Development of a 3-D Hydrodynamic Model for Lake Sammamish · 2014. 9. 22. · Lakes Background - Sammamish Metric English Drainage Basin Area 230 km2 57,000 ac Issaquah Basin](https://reader036.vdocuments.us/reader036/viewer/2022071218/60517d3b68530c1dce4b62c1/html5/thumbnails/45.jpg)
Sea-Tac Air Temp (oC)
0 10 20 30
RU
SS
Air
Tem
p (o C
)
0
10
20
30
ObservationsRegression95% Prection Intervals1:1
Sea-Tac vs. SSAMM RUSSAir Temperature Comparison
7 PM to 6 AM
y = 1.05(x) + 0.86r2 = 0.9295
![Page 46: New Development of a 3-D Hydrodynamic Model for Lake Sammamish · 2014. 9. 22. · Lakes Background - Sammamish Metric English Drainage Basin Area 230 km2 57,000 ac Issaquah Basin](https://reader036.vdocuments.us/reader036/viewer/2022071218/60517d3b68530c1dce4b62c1/html5/thumbnails/46.jpg)
Lake Sammamish CH3D Surface Temperatures
![Page 47: New Development of a 3-D Hydrodynamic Model for Lake Sammamish · 2014. 9. 22. · Lakes Background - Sammamish Metric English Drainage Basin Area 230 km2 57,000 ac Issaquah Basin](https://reader036.vdocuments.us/reader036/viewer/2022071218/60517d3b68530c1dce4b62c1/html5/thumbnails/47.jpg)
Lake Sammamish CH3D Longitudinal Temperatures
![Page 48: New Development of a 3-D Hydrodynamic Model for Lake Sammamish · 2014. 9. 22. · Lakes Background - Sammamish Metric English Drainage Basin Area 230 km2 57,000 ac Issaquah Basin](https://reader036.vdocuments.us/reader036/viewer/2022071218/60517d3b68530c1dce4b62c1/html5/thumbnails/48.jpg)
CH3D Velocity Animation
![Page 49: New Development of a 3-D Hydrodynamic Model for Lake Sammamish · 2014. 9. 22. · Lakes Background - Sammamish Metric English Drainage Basin Area 230 km2 57,000 ac Issaquah Basin](https://reader036.vdocuments.us/reader036/viewer/2022071218/60517d3b68530c1dce4b62c1/html5/thumbnails/49.jpg)
Conclusions