Paper presented at the 3rd International Conference on Current & Future State of Water Resources and Environment, Chennai, India 2010

1. Syed M. A. Moin
International Joint Commission

2. Study Purpose
 To examine long-term data series of
water temperature, from which fish
habitat and season variability can be
characterized
 Also required:
 synthesis for discharge in tributary streams
and air temperatures

3. Study Area
Study Area

4. Figure 3
Key Locations in Study Area
Calibration data available
Locations where water temperature needed

5. Governing Equations
0





q
x
Q
t
A
0)(
)(









fo SSgA
x
y
gA
x
QV
t
Q
𝜕𝑇
𝜕𝑡
+ 𝑢𝑥
𝜕𝑇
𝜕𝑥
=
𝑞 𝑛𝑒𝑡
𝜌 𝑤 𝐶𝑠
𝐴
𝑉
𝑞𝑛𝑒𝑡 = 𝐾(𝑇𝑒 − 𝑇) (4)

6. Solution Procedure
 Hydrodynamics engine based temperature
model
 St. Venant’s equations solved by linear finite
elements – FERNS
 Routines added to FERNS for the solution of
Temperature conservation equation

7. Key Elements
Velocity, depth, flow fields
Temperature computations for:
Main stem, tributaries &
Embayment
Four-day average air temperature as inflow
water temperature
Daily air temperature

8. Model Features
226 nodes, tree based network
Cross-sections defined as x-y coords (up to
600 points)
3-hour & 24-hr time step
Predictor-corrector hydraulic solution
Runge-Kutta explicit temperature solution at
60 & 150 sec. time steps

9. Analytical Steps
Data collection
Hydraulic & channel geometry
Water levels at the outlet
Water temperatures – air and water
Water supplies into the Bay of Quinte
Data synthesis
Five running average air temperature to surrogate
water temperatures
Regional and Net Basin Supplies analysis to map and
extend tributary flows

11. 0
5
10
15
20
25
30 Apr18
Apr25
May02
May09
May16
May23
May30
Jun06
Jun13
Jun20
Jun27
Jul04
Jul11
Jul18
Jul25
Aug01
Aug08
Aug15
Aug22
Aug29
Sep05
Sep12
Sep19
Sep26
Oct03
Oct10
Oct17
Oct24
Oct31
Nov07
Nov14
Temperature
Time
Napanee Offshore
Calibration 2002
Simulated
Observed

12. 0
5
10
15
20
25
30
Apr/18
Apr/25
May/02
May/09
May/16
May/23
May/30
Jun/06
Jun/13
Jun/20
Jun/27
Jul/04
Jul/11
Jul/18
Jul/25
Aug/01
Aug/08
Aug/15
Aug/22
Aug/29
Sep/05
Sep/12
Sep/19
Sep/26
Oct/03
Oct/10
Oct/17
Oct/24
Oct/31
Nov/07
Nov/14
Temperature
Time
Hay Bay Offshore
Simulated
Observed

13. 0
5
10
15
20
25
30 Apr/18
Apr/25
May/02
May/09
May/16
May/23
May/30
Jun/06
Jun/13
Jun/20
Jun/27
Jul/04
Jul/11
Jul/18
Jul/25
Aug/01
Aug/08
Aug/15
Aug/22
Aug/29
Sep/05
Sep/12
Sep/19
Sep/26
Oct/03
Oct/10
Oct/17
Oct/24
Oct/31
Nov/07
Nov/14
Temperature
Time
Spatial Temperature Variation
Node #6
Node #163

14. 0
5
10
15
20
25
Apr15
Apr30
May15
May30
Jun14
Jun29
Jul14
Jul29
Aug13
Aug28
Sep12
Sep27
Oct12
Oct27
Temperature
Time
Outlet Temperature - 2001
Chu
Kingston
Moin
Observed Conway