cfd by fuxi ma
TRANSCRIPT
![Page 1: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/1.jpg)
Hydrodynamics & Ocean Modeling
Fuxi Ma, Ph.D, [email protected]
Cape Breton UniversityDalhousie University
![Page 2: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/2.jpg)
Contents• Governing Equations• Weir Flow• Spillway Flow• Data Assimilation in Northwest Atlantic Ocean• 3D River Flow• Hydraulic Jump• Jet Plume• Sediment Deposition• Modeling of St. Margaret’s Bay
![Page 3: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/3.jpg)
Governing Equations
0)()( =
∂∂
+∂
∂y
vA
x
uA yx
∂−∂+
∂−∂+
∂∂−=
∂
∂+
∂∂+
∂∂
∂−∂+
∂−∂+
∂∂−=
∂
∂+
∂∂+
∂∂
y
v
x
vu
y
Pg
y
vAv
x
vAu
At
v
y
vu
x
u
x
Pg
y
uAv
x
uAu
At
u
yyx
c
xyx
c
)'()''(1)()(1
)''()'(1)()(1
2
2
ρ
ρ
−+
∂∂
+
∂∂+
∂∂
+
∂∂=
∂∂+
∂∂+
∂∂
−+
∂∂
+
∂∂+
∂∂
+
∂∂=
∂∂+
∂∂+
∂∂
kCP
kC
yyxxyv
xu
t
Py
k
yx
k
xy
kv
x
ku
t
k
ktt
kk
t
k
t
2
21
εεεσννε
σννεεε
εσνν
σνν
εεεε
0)()( =
∂∂+
∂∂+
∂∂
y
vF
x
uF
t
F
![Page 4: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/4.jpg)
Weir Flow
![Page 5: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/5.jpg)
![Page 6: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/6.jpg)
![Page 7: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/7.jpg)
![Page 8: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/8.jpg)
Data Assimilationin Northwest Atlantic Ocean
![Page 9: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/9.jpg)
![Page 10: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/10.jpg)
![Page 11: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/11.jpg)
![Page 12: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/12.jpg)
![Page 13: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/13.jpg)
![Page 14: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/14.jpg)
![Page 15: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/15.jpg)
![Page 16: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/16.jpg)
![Page 17: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/17.jpg)
![Page 18: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/18.jpg)
Combining Channel Flow
![Page 19: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/19.jpg)
Dividing Channel Flow
![Page 20: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/20.jpg)
![Page 21: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/21.jpg)
Spiral Flow Pattern in the Main Channel
![Page 22: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/22.jpg)
Stagnation Flow Surface− Possible sand dune if the river bed
material is sand and loose
![Page 23: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/23.jpg)
x
y
0
Yin
Yt
Sluice Gate Water Free Surface
Bottom Bed
Hydraulic Jump
![Page 24: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/24.jpg)
![Page 25: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/25.jpg)
![Page 26: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/26.jpg)
Jet Plume
![Page 27: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/27.jpg)
Snapshot from Lab Experiment
![Page 28: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/28.jpg)
![Page 29: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/29.jpg)
Snapshot from Lab Experiment
![Page 30: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/30.jpg)
![Page 31: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/31.jpg)
![Page 32: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/32.jpg)
Sediment Deposition
![Page 33: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/33.jpg)
Experiment Results Simulation Results
![Page 34: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/34.jpg)
5-Level Nested-Grid Modeling System5-Level Nested-Grid Modeling System
![Page 35: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/35.jpg)
Surface Elevation from Sub-Model 1Surface Elevation from Sub-Model 1
![Page 36: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/36.jpg)
Surface Fields from Sub-Model 2Surface Fields from Sub-Model 2
![Page 37: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/37.jpg)
Monthly Averaged Two-Layer Anti-Cyclonic FlowMonthly Averaged Two-Layer Anti-Cyclonic Flow
![Page 38: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/38.jpg)
Upwelling and Downwelling Flow PatternUpwelling and Downwelling Flow Pattern
![Page 39: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/39.jpg)
Comparison between Numerical Results and Field MeasurementsComparison between Numerical Results and Field Measurements
Velocity Temperature
L: The Lodge; PH: Paddy Head
![Page 40: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/40.jpg)
Mixing Layer Daily VariationsMixing Layer Daily Variations Temperature, Salinity - Stratification
![Page 41: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/41.jpg)
● Release Depth: 1.2 m
● Release Area: within 200 m from shoreline
● Color: representing initial horizontal positions
Larvae Particle TrackingLarvae Particle Tracking
![Page 42: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/42.jpg)
Connectivity MapConnectivity Map
![Page 43: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/43.jpg)
Connectivity MatrixConnectivity Matrix
Group 1 Group 2 Group 3 Group 4
Group 1 57.9 26.0 0.3 15.8
Group 2 0.7 87.0 0.5 11.8
Group 3 0.2 11.2 80.2 8.4
Group 4 0.1 1.5 4.4 93.9
![Page 44: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/44.jpg)
Retention RateRetention Rate
![Page 45: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/45.jpg)
![Page 46: CFD By Fuxi Ma](https://reader033.vdocuments.net/reader033/viewer/2022052911/559f08341a28ab5a108b4731/html5/thumbnails/46.jpg)