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