francesco lalli luca liberti subtask 1.6.2 high resolution coastal modelling apat italian agency for...
TRANSCRIPT
Francesco Lalli Luca Liberti
Subtask 1.6.2 High Resolution Coastal Modelling
APATItalian Agency for
Environmental Protection
The Continuous Depth-Averaged Model
* *
*
Turbulence Modeling: = 0 + t
t = C H u Fischer (1973), Nezu (1996)
0
y
V
x
U
t
FUy
U
x
V
yx
U
xxgH
y
HUV
x
HU
t
U
2
)/()/( 2
FVy
V
yy
U
x
V
xygH
y
HV
x
HUV
t
V
2
)/()/( 2
hH HuU HvV 22237
VUnH
gF
The Discrete Model
Primitive Equations• • § Finite Difference (Le and Moin, 1991) Þ staggered grid Þ time marching: 3rd order Runge-Kutta Þ spatial derivatives: explicit 2nd order centered
schemes convective terms: SMART scheme (Gaskell &
Lau, 1988)• • § Complex Geometries: boundary body forces
approach (Fadlun et al, 2000)•
SIMPLE-SHAPED CHANNEL HARBOUR
SIMPLE SHAPED CHANNEL HARBOUR: TIME-AVERAGED NUMERICAL SOLUTION
Pescara Harbor (Adriatic Sea, Italy)
BREAKWATER
JETTY
MARINA
PESCARA RIVER
BREAKWATER ENVIRONMENTAL EFFECTS
Temperature Field
Velocity field (river discharge 30 m3/sec)
BAROTROPIC JET: PESCARA HARBOUR MODEL (horizontal scale 1:1000, vertical scale 1:100)
BAROCLINIC JET: PESCARA HARBOUR MODEL (horizontal scale 1:1000, vertical scale 1:100)
Wave-submerged barrier interaction
Wave-submerged barrier interaction: rip current generation (wave
elevation)
Wave-submerged barrier interaction: rip current generation (velocity
vectors)
Wave-submerged barrier interaction: rip current generation (vorticity)
Neretva River Mouth: Bathimetry
Neretva river mouth.Grid resolution: 12x12 m
Mala Neretva river mouth.Grid resolution: 12x12 m
Snapshot of the flow field: velocity vectors. Mala Neretva flow rate=72 m3/sec Neretva flow rate=156 m3/sec
Snapshot of the flow field: vorticity
Diffusion of river waters
Flow in a simple-shaped channel harbor
Numerical SolutionRe = UL/ = 100
Numerical Solution Re = UL/ = 300