CFD By Fuxi Ma
46
Hydrodynamics & Ocean Modeling Fuxi Ma, Ph.D, P.Eng. [email protected] Cape Breton University Dalhousie University
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Transcript of CFD By Fuxi Ma
Hydrodynamics & Ocean Modeling
Fuxi Ma, Ph.D, [email protected]
Cape Breton UniversityDalhousie University
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
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
Weir Flow
Data Assimilationin Northwest Atlantic Ocean
Combining Channel Flow
Dividing Channel Flow
Spiral Flow Pattern in the Main Channel
Stagnation Flow Surface− Possible sand dune if the river bed
material is sand and loose
x
y
0
Yin
Yt
Sluice Gate Water Free Surface
Bottom Bed
Hydraulic Jump
Jet Plume
Snapshot from Lab Experiment
Snapshot from Lab Experiment
Sediment Deposition
Experiment Results Simulation Results
5-Level Nested-Grid Modeling System5-Level Nested-Grid Modeling System
Surface Elevation from Sub-Model 1Surface Elevation from Sub-Model 1
Surface Fields from Sub-Model 2Surface Fields from Sub-Model 2
Monthly Averaged Two-Layer Anti-Cyclonic FlowMonthly Averaged Two-Layer Anti-Cyclonic Flow
Upwelling and Downwelling Flow PatternUpwelling and Downwelling Flow Pattern
Comparison between Numerical Results and Field MeasurementsComparison between Numerical Results and Field Measurements
Velocity Temperature
L: The Lodge; PH: Paddy Head
Mixing Layer Daily VariationsMixing Layer Daily Variations Temperature, Salinity - Stratification
● Release Depth: 1.2 m
● Release Area: within 200 m from shoreline
● Color: representing initial horizontal positions
Larvae Particle TrackingLarvae Particle Tracking
Connectivity MapConnectivity Map
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
Retention RateRetention Rate
